OPINION
KENNEDY, Circuit Judge.
Defendant Joseph F. Bolka, III pleaded guilty to five counts of possession of methamphetamine with the intent to distribute and distribution and one count of manufacturing methamphetamine in violation of 21 U.S.C. § 841(a)(1). Defendant now appeals the district court’s denial of his motion for a sentencing reduction under the “safety valve” provision of the United States Sentencing Guidelines (“U.S.S.G.”) § 5C1.2(a). For the reasons explained below, we AFFIRM the judgment and defendant’s sentence.
I. Background
Pursuant to a plea agreement, defendant Bolka pleaded guilty to multiple violations of 21 U.S.C. § 841(a)(1). At the sentencing hearing, the district court adopted the Pre-sentence Investigation Report’s calculations under the 2001 edition of the United States Sentencing Guidelines. In particular, the district court found that U.S.S.G. § 2Dl.l(b)(l) applied so as to increase defendant’s base offense level by two increments. Section 2Dl.l(b)(l) provides for such an enhancement “[i]f a dangerous weapon (including a firearm) was possessed.” Defendant, conceding such possession, had withdrawn his objection to this sentence enhancement.
Yet, before sentencing, defendant had filed a motion for a downward departure under the “safety valve” provision of U.S.S.G. § 501.2(a). Section 501.2(a) permits the court to “impose a sentence in accordance with the applicable guidelines ... [regardless] of any statutory minimum sentence if the court finds that the defendant meets” the criteria of 18 U.S.C. § 3553(f).
As one of those criteria, § 501.2(a)(2) mandates that the “defendant did not ... possess a firearm ... in connection with the offense.” In his motion and at the sentencing hearing, defendant argued that there was no evidence demonstrating that he had possessed the firearms in connection with his drug offenses.
The district court denied defendant’s motion for a “safety valve” reduction under § 501.2(a). In finding defendant ineligible for that reduction, the district court construed this Court’s opinion in
United States v. Stewart,
306 F.3d 295 (6th Cir.2002), to hold that conduct that warrants a sentence enhancement under § 2Dl.l(b)(l) necessarily precludes the application of a “safety valve” reduction under § 501.2(a). After applying all of the relevant factors,
the district court ultimately sentenced defendant to sixty months of imprisonment, followed by four years of supervised release, and a $600 special assessment. Defendant appeals the district court’s denial of his motion for a “safety valve” reduction under U.S.S.G. § 501.2(a).
II. Analysis
We review a district court’s interpretation of a sentencing guideline
de novo
and “a court’s factual determination of whether a ... guideline applies in a particular case under a clearly erroneous standard.”
United States v. Adu,
82 F.3d 119, 124 (6th Cir.1996) (holding that we review a district court’s refusal
to
apply U.S.S.G. § 5C1.2 for clear error because it is a factual finding).
In
United States v. Stewart,
306 F.3d at 327 n. 19, we held that a defendant, as the party seeking a “safety valve” reduction under § 501.2(a), has the burden of proving by a preponderance of the evidence that he is entitled to that downward departure.
Accord United States v. Salgado,
250 F.3d 438, 459 (6th Cir.2001);
Adu,
82 F.3d at 124. Thus, as one of the eligibility criteria for a “safety valve” reduction, a defendant must prove by a preponderance of the evidence that he “did not ... possess a firearm ... in connection with the offense.” U.S.S.G. § 501.2(a)(2). In contrast, to enhance a sentence under § 2Dl.l(b)(l), the government must first demonstrate by a preponderance of the evidence that the defendant possessed a firearm “during the commission of a drug-trafficking offense.”
United States v. Moses,
289 F.3d 847, 850 (6th Cir.2002) (treating “during the commission of’ as “during the period [or time] of’ the drug-trafficking offense). If the government meets this burden, a presumption arises that such possession was “connected to the defendant’s offense.”
Id.
The defendant may rebut this presumption only by demonstrating “that it is
clearly improbable
that the ... [firearm] was connected to the offense.”
Id.
(emphasis added) (specifying some of the factors in determining “whether a firearm was related to an offense, including the proximity of the firearm to the drugs, the type of firearm involved, whether the firearm was loaded, and any alternative purpose offered to explain the presence of the firearm”).
In
Stewart,
this Court held that the district court did not clearly err in applying a § 2D1.1(b)(1) enhancement upon finding that the defendant did not meet “his burden of showing that it was
clearly improbable
that the weapon was connected to his drug trafficking offense.” 306 F.3d at 327 (emphasis added). After noting that the district court considered the applicability of § 501.2(a) separately from that of § 2D1.1(b)(1), we then held that the court “did not clearly err in finding that ... [the defendant] failed to show by a
preponderance of the evidence
that he was eligible for” § 5C1.2(a)’s “safety valve” reduction.
Id.
at 327 n. 19 (emphasis added). Without expressly holding so, we observed that “[e]very circuit thus far that has considered the issue has held that[,] where a defendant had ... possession over a firearm such that an increase to his or her base offense level under § 2D1.1 is appropriate, such possession ‘defeats [the] application of the safety valve.’ ”
Id.
(quoting
United States v. Smith,
175 F.3d 1147, 1149 (9th Cir.1999)).
Relying upon this statement, the district court construed
Stewart
to hold that conduct that warrants a § 2D1.1(b)(1) enhancement
necessarily
bars a § 501.2(a) “safety valve” reduction. We note that this interpretation of
Stewart
is unwarranted because the statement upon which that interpretation relies does not expressly ratify this underlying
per se
proposition but, rather, simply recognizes its existence.
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OPINION
KENNEDY, Circuit Judge.
Defendant Joseph F. Bolka, III pleaded guilty to five counts of possession of methamphetamine with the intent to distribute and distribution and one count of manufacturing methamphetamine in violation of 21 U.S.C. § 841(a)(1). Defendant now appeals the district court’s denial of his motion for a sentencing reduction under the “safety valve” provision of the United States Sentencing Guidelines (“U.S.S.G.”) § 5C1.2(a). For the reasons explained below, we AFFIRM the judgment and defendant’s sentence.
I. Background
Pursuant to a plea agreement, defendant Bolka pleaded guilty to multiple violations of 21 U.S.C. § 841(a)(1). At the sentencing hearing, the district court adopted the Pre-sentence Investigation Report’s calculations under the 2001 edition of the United States Sentencing Guidelines. In particular, the district court found that U.S.S.G. § 2Dl.l(b)(l) applied so as to increase defendant’s base offense level by two increments. Section 2Dl.l(b)(l) provides for such an enhancement “[i]f a dangerous weapon (including a firearm) was possessed.” Defendant, conceding such possession, had withdrawn his objection to this sentence enhancement.
Yet, before sentencing, defendant had filed a motion for a downward departure under the “safety valve” provision of U.S.S.G. § 501.2(a). Section 501.2(a) permits the court to “impose a sentence in accordance with the applicable guidelines ... [regardless] of any statutory minimum sentence if the court finds that the defendant meets” the criteria of 18 U.S.C. § 3553(f).
As one of those criteria, § 501.2(a)(2) mandates that the “defendant did not ... possess a firearm ... in connection with the offense.” In his motion and at the sentencing hearing, defendant argued that there was no evidence demonstrating that he had possessed the firearms in connection with his drug offenses.
The district court denied defendant’s motion for a “safety valve” reduction under § 501.2(a). In finding defendant ineligible for that reduction, the district court construed this Court’s opinion in
United States v. Stewart,
306 F.3d 295 (6th Cir.2002), to hold that conduct that warrants a sentence enhancement under § 2Dl.l(b)(l) necessarily precludes the application of a “safety valve” reduction under § 501.2(a). After applying all of the relevant factors,
the district court ultimately sentenced defendant to sixty months of imprisonment, followed by four years of supervised release, and a $600 special assessment. Defendant appeals the district court’s denial of his motion for a “safety valve” reduction under U.S.S.G. § 501.2(a).
II. Analysis
We review a district court’s interpretation of a sentencing guideline
de novo
and “a court’s factual determination of whether a ... guideline applies in a particular case under a clearly erroneous standard.”
United States v. Adu,
82 F.3d 119, 124 (6th Cir.1996) (holding that we review a district court’s refusal
to
apply U.S.S.G. § 5C1.2 for clear error because it is a factual finding).
In
United States v. Stewart,
306 F.3d at 327 n. 19, we held that a defendant, as the party seeking a “safety valve” reduction under § 501.2(a), has the burden of proving by a preponderance of the evidence that he is entitled to that downward departure.
Accord United States v. Salgado,
250 F.3d 438, 459 (6th Cir.2001);
Adu,
82 F.3d at 124. Thus, as one of the eligibility criteria for a “safety valve” reduction, a defendant must prove by a preponderance of the evidence that he “did not ... possess a firearm ... in connection with the offense.” U.S.S.G. § 501.2(a)(2). In contrast, to enhance a sentence under § 2Dl.l(b)(l), the government must first demonstrate by a preponderance of the evidence that the defendant possessed a firearm “during the commission of a drug-trafficking offense.”
United States v. Moses,
289 F.3d 847, 850 (6th Cir.2002) (treating “during the commission of’ as “during the period [or time] of’ the drug-trafficking offense). If the government meets this burden, a presumption arises that such possession was “connected to the defendant’s offense.”
Id.
The defendant may rebut this presumption only by demonstrating “that it is
clearly improbable
that the ... [firearm] was connected to the offense.”
Id.
(emphasis added) (specifying some of the factors in determining “whether a firearm was related to an offense, including the proximity of the firearm to the drugs, the type of firearm involved, whether the firearm was loaded, and any alternative purpose offered to explain the presence of the firearm”).
In
Stewart,
this Court held that the district court did not clearly err in applying a § 2D1.1(b)(1) enhancement upon finding that the defendant did not meet “his burden of showing that it was
clearly improbable
that the weapon was connected to his drug trafficking offense.” 306 F.3d at 327 (emphasis added). After noting that the district court considered the applicability of § 501.2(a) separately from that of § 2D1.1(b)(1), we then held that the court “did not clearly err in finding that ... [the defendant] failed to show by a
preponderance of the evidence
that he was eligible for” § 5C1.2(a)’s “safety valve” reduction.
Id.
at 327 n. 19 (emphasis added). Without expressly holding so, we observed that “[e]very circuit thus far that has considered the issue has held that[,] where a defendant had ... possession over a firearm such that an increase to his or her base offense level under § 2D1.1 is appropriate, such possession ‘defeats [the] application of the safety valve.’ ”
Id.
(quoting
United States v. Smith,
175 F.3d 1147, 1149 (9th Cir.1999)).
Relying upon this statement, the district court construed
Stewart
to hold that conduct that warrants a § 2D1.1(b)(1) enhancement
necessarily
bars a § 501.2(a) “safety valve” reduction. We note that this interpretation of
Stewart
is unwarranted because the statement upon which that interpretation relies does not expressly ratify this underlying
per se
proposition but, rather, simply recognizes its existence. We expressly disclaim the proposition that conduct warranting a § 2D1.1(b)(1) sentence enhancement
necessarily
forecloses the application of a § 501.2(a) “safety valve” reduction as this
per se
conclusion does not necessarily follow from the different evidentiary standards of §§ 2Dl.l(b)(l) and 501.2(a)(2).
The application of a § 2D1.1(b)(1) sentence enhancement does not necessarily preclude the application of a § 501.2(a) “safety valve” reduction. A defendant may be unable to prove that it is clearly probable that the firearm was not connected to the offense — the logical equivalent of showing that it is clearly improbable that the firearm was connected to the offense— so as to defeat a § 2Dl.l(b)(l) enhancement.
See United States v. Johnson,
344 F.3d 562, 567 (6th Cir.2003) (referring to this standard in its logically equivalent form). However, that same defendant may, nevertheless, be able to prove by a preponderance of the evidence that the firearm was not connected to the offense so as to satisfy § 501.2(a)(2). The “clearly improbable” standard is a higher quantum of proof than that of the “preponderance of the evidence” standard.
See Moses,
289 F.3d at 852 (construing a “preponderance of the evidence” as that which is “more likely than not”);
Johnson,
344 F.3d at 567 (defining the “clearly improbable” § 2Dl.l(b)(l) standard as a difficult one that entails more than showing the existence of a “possible innocent explanation” or a
mere probability
that the firearm was not connected to the offense). It does not deductively follow from a defendant’s failure to satisfy a higher quantum of proof on a particular issue that he cannot satisfy a lower quantum of proof on that same issue. It also does not necessarily follow from the existence of a preponderance of evidence demonstrating that a defendant possessed a firearm
during the time of the
offense— the government’s
prima facie
burden of proof for purposes of a § 2Dl.l(b)(l) enhancement that there exists a preponderance of evidence demonstrating such possession
in connection with the offense—
contrary to the defendant’s burden of proof so as to defeat a § 501.2(a) reduction.
See Moses,
289 F.3d at 850. While they are quantitatively the same, these evidentiary standards are qualitatively distinct. Similarly, it does not deductively follow from the
presumption
that a defendant’s possession of a firearm was connected to the offense — arising from a preponderance of evidence demonstrating such possession during the time of the offense— for purposes of a § 2Dl.l(b)(l) enhancement that a preponderance of evidence demonstrating such a connection, in fact, exists for purposes of a § 501.2(a) reduction. Consequently, a defendant’s conduct warranting a § 2Dl.l(b)(l) enhancement does not
per se
preclude that defendant from proving by a preponderance of the evidence that his possession of the firearm was not connected with his offense for purposes of a § 5C1.2 (a) “safety valve” reduction.
Even though the district court erred in finding that defendant’s conduct warranting a § 2Dl.l(b)(l) enhancement
necessarily
foreclosed the application of a § 501.2(a) “safety valve” reduction,
the
court’s refusal to apply such a reduction was harmless because defendant failed to discharge his duty of demonstrating his entitlement to it. Defendant failed to prove by a preponderance of the evidence that he did not possess a firearm in connection with his drug offenses. Defendant conceded that, during the period of his drug offenses, he possessed a semi-automatic pistol and two revolvers in his residence. First, defendant failed to demonstrate by a preponderance of the evidence that such possession was not connected to his offenses of possession with the intent to distribute and distribution of methamphetamine. Affirming the facts in the Pre-sentence Investigation Report, defendant, thus, conceded that, pursuant to a search of his residence, federal agents found the three firearms in defendant’s bedroom along with methamphetamine and scales. Defendant never disproved that one of the revolvers was loaded and that ammunition for the other firearms was located in his residence. Defendant admitted that he sold methamphetamine at his residence on several occasions.
Second, defendant failed to demonstrate by a preponderance of the evidence that his possession of the firearms in his residence was not connected to his offense of manufacturing methamphetamine. Presumably to prove this lack of connection, defendant denied that he had manufactured the methamphetamine in his residence. Rather, defendant argued that he had manufactured the methamphetamine either in a barn or near a pond approximately 500 to 1000 feet from his residence. However, defendant conceded that he had used an acid gas generator to “smoke off’ methamphetamine part of the final stages of the manufacturing process in the bathroom of his residence.
See United States v. Morrison,
207 F.3d 962, 964 (7th Cir.2000) (observing that, as part of the “methamphetamine production process, salt and sulfuric acid are mixed to produce hydrogen chloride gas, which is used to crystallize liquid methamphetamine”). Defendant also conceded that, on about one or two occasions, he mixed some of the chemicals that comprise methamphetamine on the porch of his residence. Defendant admitted that the agents found items relating to the manufacture of methamphetamine both inside and outside of defendant’s residence. To the extent that defendant simply argues that there is a lack of evidence showing any connection between his possession of the firearms and
his offenses, defendant both disregards the strong record evidence demonstrating otherwise and misplaces the burden of proof under § 501.2(a) upon the government. Additionally, to the extent that defendant, for the first time, asserts in his appellate brief that his possession of the firearms was for his personal protection, rather than for any purpose connected with his offenses, such an alternative explanation comes too late.
See
Fed. R.App. P. 10(a);
cf. United States v. Butler,
207 F.3d 839, 849-50 (6th Cir.2000) (holding that this Court’s consideration of a new argument in support of a sentencing objection raised before the district court was proper where the additional argument entailed a question of pure law and, thus, did not deprive any party of the opportunity to offer relevant evidence). In sum, because defendant did not demonstrate his entitlement to a “safety valve” reduction under § 501.2(a), the district court’s refusal to apply such a reduction on an erroneous ground was harmless.
For the foregoing reasons, we AFFIRM the judgment and defendant’s sentence.