The mean number of sick days per employee taken last year by all employees of a large city was 10.6 days. A city administrator is investigating whether the mean number of sick days this y different from the mean number of sick days last year. The administrator takes a random sample of 40 employees and finds the mean of the sample to be 12.9. A hypothesis test will be conducted as part of the investigation. Which of the following is the correct set of hypotheses? Но : и— 10.6 A H :µ > 10.6 Но : д — 10.6 B Ha : µ+ 10.6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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The mean number of sick days per employee taken last year by all employees of a large city was 10.6 days. A city administrator is investigating whether the mean number of sick days this year is
different from the mean number of sick days last year. The administrator takes a random sample of 40 employees and finds the mean of the sample to be 12.9. A hypothesis test will be
conducted as part of the investigation.
Which of the following is the correct set of hypotheses?
Но : и — 10.6
A
На : д> 10.6
Η,: μ 10.6
в
На : д2 10.6
Ho : H = 10.6
Η,: μ< 10.6
Но : д — 12.9
D
Ha : µ + 12.9
Но : д — 12.9
E
На : д< 12.9
Transcribed Image Text:The mean number of sick days per employee taken last year by all employees of a large city was 10.6 days. A city administrator is investigating whether the mean number of sick days this year is different from the mean number of sick days last year. The administrator takes a random sample of 40 employees and finds the mean of the sample to be 12.9. A hypothesis test will be conducted as part of the investigation. Which of the following is the correct set of hypotheses? Но : и — 10.6 A На : д> 10.6 Η,: μ 10.6 в На : д2 10.6 Ho : H = 10.6 Η,: μ< 10.6 Но : д — 12.9 D Ha : µ + 12.9 Но : д — 12.9 E На : д< 12.9
In a certain city, the population mean commute time to work was reported as 30 minutes. The director of human resources for a certain company in the city claimed the mean commute time for
the company's employees was greater than 30 minutes. The director surveyed 35 randomly selected employees and found that their mean commute time was 31.4 minutes. With all conditions
for inference met, a hypothesis test conducted at the significance level a = 0.05 resulted in a p-value of 0.381.
Which of the following is an appropriate conclusion?
A
The director has convincing statistical evidence to conclude that the population mean commute time is greater than 30 minutes.
B
The director has convincing statistical evidence to conclude that the population mean commute time is less than 30 minutes.
The director has convincing statistical evidence to conclude that the population mean commute time is 31.4 minutes.
D
The director does not have convincing statistical evidence to conclude that the population mean commute time is greater than 30 minutes.
E
The director does not have convincing statistical evidence to conclude that the population mean commute time is less than 30 minutes.
Transcribed Image Text:In a certain city, the population mean commute time to work was reported as 30 minutes. The director of human resources for a certain company in the city claimed the mean commute time for the company's employees was greater than 30 minutes. The director surveyed 35 randomly selected employees and found that their mean commute time was 31.4 minutes. With all conditions for inference met, a hypothesis test conducted at the significance level a = 0.05 resulted in a p-value of 0.381. Which of the following is an appropriate conclusion? A The director has convincing statistical evidence to conclude that the population mean commute time is greater than 30 minutes. B The director has convincing statistical evidence to conclude that the population mean commute time is less than 30 minutes. The director has convincing statistical evidence to conclude that the population mean commute time is 31.4 minutes. D The director does not have convincing statistical evidence to conclude that the population mean commute time is greater than 30 minutes. E The director does not have convincing statistical evidence to conclude that the population mean commute time is less than 30 minutes.
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