Question

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 the past year are as follows: 11; 5; 13;
4; 10; 9; 7; 8. 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% level.
Construct a 95% confidence interval for the true mean. Sketch the
graph of the situation. Label the point estimate and the lower and
upper bounds of the confidence interval. (Round your answers to
three decimal places.)

Answer #1

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 the past year are as follows: 10; 5; 15;
5; 9; 10; 6; 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?...

The mean number of sick days an employee takes per year is
believed to be about ten. Members of a personnel department do not
believe this figure. They randomly survey eight employees. The
number of sick days they took for the past year are as follows: 12;
4; 15; 3; 11; 8; 6; 8. At the 0.05 significance level, test the
claim of the personnel team, that the mean number of sick days per
year is less than ten. Conclusion:...

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 the past year are as follows: 12; 5; 13;
4; 11; 9; 8; 10. 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?...

A company is
interested in estimating μ, the mean number of days of
sick leave taken by its employees. Their statistician randomly
selects 100 personnel files and notes the number of sick days taken
by each employee. The sample mean is 12.2 days, and the sample
standard deviation is 10 days. How many personnel files would the
statistician have to select in order to estimate μ to
within 2 days with a 99 percent confidence interval?
Note: Sigma
Unknown
136...

The mean work week for engineers in a start-up company is believed
to be about 60 hours. A newly hired engineer hopes that it's
shorter. She asks 10 engineering friends in start-ups for the
lengths of their mean work weeks. Based on the results that follow,
should she count on the mean work week to be shorter than 60 hours?
Conduct a hypothesis test at the 5% level.
Data (length of average work week): 70; 50; 55; 65; 65; 55;...

The average work week for engineers in a start-up company is
believed to be about 60 hours. A newly hired engineer hopes that
it's shorter. She asks 10 engineering friends in start-ups for the
lengths of their average work weeks. Based on the results that
follow, should she count on the average work week to be shorter
than 60 hours? Conduct a hypothesis test at the 5% level.
Data (length of average work week): 70; 45; 55; 60; 65; 60;...

A researcher wishes to see if the average number of sick days a
worker takes per year is greater than 5. A random sample of 32
workers at a large department store had a mean of 5.6. Assume the
population standard deviation is 1.2. Test the claim that the
average number of sick days a worker takes per year is more than 5.
Use a 0.01 significance level.
a)State the claim and opposite symbolically.
b) State the Null and alternate...

A local company is concerned about the number of days missed by
its employees due to illness. A random sample of 10 employees is
selected. The number of days absent in one year is listed below. An
incentive program is offered in an attempt to decrease the number
of days absent. The number of days absent in one year after the
incentive program is listed below.
Employee
A
B
C
D
E
F
G
H
I
J
Days Absent Before...

For the last several years, the mean number of days kids stay
home sick from a particular elementary school is 12 days and is
normally distributed. The principal believes students actually miss
fewer than 12 days. He decides to survey a random sample of
students at the end of the school year. Here is the list of the
number of days the sample of students missed 6, 8, 14, 12, 10, 13,
13, 10, 11, 9, 12, 14. you want...

Let X be the random variable giving the number of sick days
taken by the “typical” worker per year. Suppose that it is known
that E(X) = μ = 10, and that the standard deviation of X is σ = 2.
(both μ and σ are measured in days. A firm has n = 64 employees.
Consider these to be a random sample from the population of all
“typical” employees.
a) What is the approximate distribution of the average number...

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