The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.4 mg, with a standard deviation of 3 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.0 mg with a standard deviation of 3.8 mg. The accompanying table shows the data. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations ar equal. Let population 1 be unfiltered king-size cigarettes. Complete parts (a) through (c) below. A Click the icon to view the data. a. Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. What does the result suggest about the effectiveness of cigarette filters? Identify the null and alternative hypotheses. OA. Ho: H1 =H2 O B. Ho: H1 = P2 OC. Ho: H1 H2 H: H 2 H: H =P2 OD. Ho: H1 H2 OF. Ho: H1 "H2 H: H =2 H: H =H2 The test statistic is (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) State the conclusion for the test. V the null hypothesis. There V sufficient evidence to support the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. This suggests that cigarette filters are V in reducing tar. b. Construct a 90% confidence interval estimate of the difference between the mean tar content of unfiltered king-size cigarettes and the mean tar content of filtered 100-mm cigarettes. Does the result suggest that 100-mm filtered cigarettes have less tar than unfiltered king-size cigarettes? The 90% confidence interval estimate is

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The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.4 mg, with a standard deviation of 3 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.0 mg with a standard
deviation of 3.8 mg. The accompanying table shows the data. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are
equal. Let population 1 be unfiltered king-size cigarettes. Complete parts (a) through (c) below.
Click the icon to view the data.
a. Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. What does the result suggest about the effectiveness of cigarette filters?
Identify the null and alternative hypotheses.
O B. Ho: H1 =H2
O C. Ho: H1 #H2
H1: H1 =H2
O A. Ho: H1 = H2
H:H1<H2
H1: Hy # H2
OD. Ho: H1<H2
O E. Ho: H1> H2
O F. Ho: H1 = H2
H1:H1> H2
H:H1=H2
Hq: H1 =H2
The test statistic is
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
State the conclusion for the test.
the null hypothesis. There
sufficient evidence to support the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. This suggests that cigarette filters are
in reducing tar.
b. Construct a 90% confidence interval estimate of the difference between the mean tar content of unfiltered king-size cigarettes and the mean tar content of filtered 100-mm cigarettes. Does the result suggest that 100-mm filtered cigarettes have
less tar than unfiltered king-size cigarettes?
The 90% confidence interval estimate is
<H1 -H2<
(Round to one decimal place as needed.)
Click to select your answer(s).
?
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Transcribed Image Text:The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.4 mg, with a standard deviation of 3 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.0 mg with a standard deviation of 3.8 mg. The accompanying table shows the data. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Let population 1 be unfiltered king-size cigarettes. Complete parts (a) through (c) below. Click the icon to view the data. a. Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. What does the result suggest about the effectiveness of cigarette filters? Identify the null and alternative hypotheses. O B. Ho: H1 =H2 O C. Ho: H1 #H2 H1: H1 =H2 O A. Ho: H1 = H2 H:H1<H2 H1: Hy # H2 OD. Ho: H1<H2 O E. Ho: H1> H2 O F. Ho: H1 = H2 H1:H1> H2 H:H1=H2 Hq: H1 =H2 The test statistic is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. the null hypothesis. There sufficient evidence to support the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. This suggests that cigarette filters are in reducing tar. b. Construct a 90% confidence interval estimate of the difference between the mean tar content of unfiltered king-size cigarettes and the mean tar content of filtered 100-mm cigarettes. Does the result suggest that 100-mm filtered cigarettes have less tar than unfiltered king-size cigarettes? The 90% confidence interval estimate is <H1 -H2< (Round to one decimal place as needed.) Click to select your answer(s). ? MacBook Pro 888 000 吕0 esc 并 %24 & 4. 8. 6. delet R. T. Y. tab D G H. K as lock C. V M.
O A. Ho: H1=H2
O B. Ho: H1 =H2
O C. Ho: H1 #H2
Hq: Hq <H2
H1:H1=H2.
O D. Ho: H1 <H2
O E. Ho: H1> H2
OF. Ho: H1=H2
Hi:H1=H2
H1: H1 = H2
The test statistic is
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
State the conclusion for the test.
the null hypothesis. There
sufficient evidence to support the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. This suggests that cigarette filters are
in reducing tar.
b. Construct a 90% confidence interval estimate of the difference between the mean tar content of unfiltered king-size cigarettes and the mean tar content of filtered 100-mm cigarettes. Does the result suggest that 100-mm filtered cigarettes have
less tar than unfiltered king-size cigarettes?
The 90% confidence interval estimate is
(Round to one decimal place as needed.)
The result
that 100-mm filtered cigarettes have less tar than unfiltered king-size cigarettes, since the confidence interval
0.
Click to select your answer(s).
MacBook Pro
888
esc
#3
$4
4.
Y.
tab
F
G
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ck
V
ait
alt
option
command
MOSISO
command
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Transcribed Image Text:O A. Ho: H1=H2 O B. Ho: H1 =H2 O C. Ho: H1 #H2 Hq: Hq <H2 H1:H1=H2. O D. Ho: H1 <H2 O E. Ho: H1> H2 OF. Ho: H1=H2 Hi:H1=H2 H1: H1 = H2 The test statistic is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. the null hypothesis. There sufficient evidence to support the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. This suggests that cigarette filters are in reducing tar. b. Construct a 90% confidence interval estimate of the difference between the mean tar content of unfiltered king-size cigarettes and the mean tar content of filtered 100-mm cigarettes. Does the result suggest that 100-mm filtered cigarettes have less tar than unfiltered king-size cigarettes? The 90% confidence interval estimate is (Round to one decimal place as needed.) The result that 100-mm filtered cigarettes have less tar than unfiltered king-size cigarettes, since the confidence interval 0. Click to select your answer(s). MacBook Pro 888 esc #3 $4 4. Y. tab F G K ck V ait alt option command MOSISO command option P M. * 00
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