The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey 8 employees. The number of sick days they took for past year are as follows: 11; 5; 14; 3; 10; 9; 8; 9. Let X = the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% leve Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) O Part (b) O Part (c) O Part (d) O Part (e) O Part (f) O Part (g) O Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (1) Alpha (Enter an exact number as an integer, fraction, decimal.) (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (ii) Reason for decision: O Since a < p-value, we do not reject the null hypothesis. O Since a < p-value, we reject the null hypothesis. O Since a > p-value, we reject the null hypothesis. O Since a > p-value, we do not reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to conclude that the average number of sick days used per year by an employee is not equal to 10 days. O There is not sufficient evidence to conclude that the average number of sick days used per vear by an emplovee is not egual to 10 days.
The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey 8 employees. The number of sick days they took for past year are as follows: 11; 5; 14; 3; 10; 9; 8; 9. Let X = the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% leve Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) O Part (b) O Part (c) O Part (d) O Part (e) O Part (f) O Part (g) O Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (1) Alpha (Enter an exact number as an integer, fraction, decimal.) (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (ii) Reason for decision: O Since a < p-value, we do not reject the null hypothesis. O Since a < p-value, we reject the null hypothesis. O Since a > p-value, we reject the null hypothesis. O Since a > p-value, we do not reject the null hypothesis. (iv) Conclusion: O There is sufficient evidence to conclude that the average number of sick days used per year by an employee is not equal to 10 days. O There is not sufficient evidence to conclude that the average number of sick days used per vear by an emplovee is not egual to 10 days.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
100%
I don't understand how to complete this. please show step by step
Expert Solution
Step 1
Given data,
11,5,14,3,10,9,8,9.
The mean number of sick days an employee takes per year is believed to be about 10.
Hypotheses:
H0:µ=10
H1:µ≠10
i)
Level of significance = 0.05.
Step 2
Mean:
Standard deviation:
Test statistic:
Test statistic value is -1.137.
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill