The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed. Assume the population standard deviation is 4.1 years. At α=0.05, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years? Complete parts (a) through (e). 13.5 11.8 11.1 21.8 21.3 21.2 17.3 18.5 19.3 19.5 20.9 9.6 17.9 7.3 19.3 14.3 11.1 17.6 18.6 21.4 14.7 12.1 10.4 14.8 7.3 10.7 17.5 19.1 12.1 13.4 11.9 17.4 Question content area bottom Part 1 (a) Identify the claim and state the null hypothesis and alternative hypothesis. A. H0: μ≥14 (claim) Ha: μ<14 B. H0: μ=14 (claim) Ha: μ≠14 C. H0: μ≠14 (claim) Ha: μ=14 D. H0: μ>14 Ha: μ≤14 (claim) E. H0: μ≤14 (claim) Ha: μ>14 F. H0: μ>14 (claim) Ha: μ≤14 Part 2 (b) Identify the standardized test statistic. Use technology. z=enter your response here (Round to two decimal places as needed.) Part 3 (c) Find the P-value. Use technology. P=enter your response here (Round to three decimal places as needed.) Part 4 (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim at the 5% level of significance. A. Reject H0. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years. B. Reject H0. There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years. C. Fail to reject H0. There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years. D. Fail to reject H0. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years.
The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed. Assume the population standard deviation is 4.1 years. At α=0.05, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years? Complete parts (a) through (e). 13.5 11.8 11.1 21.8 21.3 21.2 17.3 18.5 19.3 19.5 20.9 9.6 17.9 7.3 19.3 14.3 11.1 17.6 18.6 21.4 14.7 12.1 10.4 14.8 7.3 10.7 17.5 19.1 12.1 13.4 11.9 17.4 Question content area bottom Part 1 (a) Identify the claim and state the null hypothesis and alternative hypothesis. A. H0: μ≥14 (claim) Ha: μ<14 B. H0: μ=14 (claim) Ha: μ≠14 C. H0: μ≠14 (claim) Ha: μ=14 D. H0: μ>14 Ha: μ≤14 (claim) E. H0: μ≤14 (claim) Ha: μ>14 F. H0: μ>14 (claim) Ha: μ≤14 Part 2 (b) Identify the standardized test statistic. Use technology. z=enter your response here (Round to two decimal places as needed.) Part 3 (c) Find the P-value. Use technology. P=enter your response here (Round to three decimal places as needed.) Part 4 (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim at the 5% level of significance. A. Reject H0. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years. B. Reject H0. There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years. C. Fail to reject H0. There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years. D. Fail to reject H0. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
Related questions
Question
The lengths of time (in years) it took a random sample of
32
former smokers to quit smoking permanently are listed. Assume the population standard deviation is
4.1
years. At
α=0.05,
is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is
14
years? Complete parts (a) through (e).|
13.5
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11.8
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11.1
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21.8
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21.3
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21.2
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17.3
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18.5
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19.3
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19.5
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20.9
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9.6
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17.9
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7.3
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19.3
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14.3
|
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11.1
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17.6
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18.6
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21.4
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14.7
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12.1
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10.4
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14.8
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|
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7.3
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10.7
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17.5
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19.1
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12.1
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13.4
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11.9
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17.4
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Question content area bottom
Part 1
(a) Identify the claim and state the null hypothesis and alternative hypothesis.
H0:
μ≥14
(claim)Ha:
μ<14
H0:
μ=14
(claim)Ha:
μ≠14
H0:
μ≠14
(claim)Ha:
μ=14
H0:
μ>14
Ha:
μ≤14
(claim)H0:
μ≤14
(claim)Ha:
μ>14
H0:
μ>14
(claim)Ha:
μ≤14
Part 2
(b) Identify the standardized test statistic. Use technology.
z=enter your response here
(Round to two decimal places as needed.)Part 3
(c) Find the P-value. Use technology.
P=enter your response here
(Round to three decimal places as needed.)Part 4
(d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim at the
5%
level of significance.Reject
H0.
There
is
sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is
14
years.Reject
H0.
There
is not
sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is
14
years.Fail to reject
H0.
There
is not
sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is
14
years.Fail to reject
H0.
There
is
sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is
14
years.Expert Solution
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