Question
In: Statistics and Probability
The mean number of sick days an employee takes per year is believed to be about...
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; 6; 13;
5; 9; 9; 6; 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.
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.)
1. What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.)
2. What is the p-value? (Round your answer to four decimal places.)
3. 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.)
Solutions
orchestra answered 1 year agoRelated Solutions
The mean number of sick days an employee takes per year is believed to be about...
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; 6; 13;
3; 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?...
The mean number of sick days an employee takes per year is believed to be about...
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;
6; 14; 3; 11; 8; 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?...
The mean number of sick days an employee takes per year is believed to be about...
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; 6; 13;
3; 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?...
The mean number of sick days an employee takes per year is believed to be about...
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; 15;
3; 10; 10; 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?...
The mean number of sick days an employee takes per year is believed to be about...
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. Test the claim of the personnel team, that
the mean number of sick days per year is less than ten. Ho : μ = Ha
:...
The mean number of sick days an employee takes per year is believed to be about...
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; 6; 14;
4; 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?...
The mean number of sick days an employee takes per year is believed to be about...
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; 6; 15;
5; 11; 10; 6; 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?...
ABC Corporation has 350 employees. The distribution of number of sick days per employee per year...
ABC Corporation has 350 employees. The distribution of number
of sick days per employee per year for the population of 350
employees is not highly skewed and has a mean of 12 and a standard
deviation of 4. Suppose a simple random sample of 25 employees'
number of sick days is taken, what is the probability that the
sample of 25 will have mean number of sick days between 10 and 14?
Show your work.
Someone claims that the mean number of sick days that employees in New Jersey take per...
Someone claims that the mean number of sick days that employees
in New Jersey take per year is 5.3. To look into that claim, you
take a representative sample of 78 employees in New Jersey and find
that the mean number of sick days is 5.5 in the sample. The
population standard deviation is 1.6.
Part (a)
Given that the sample mean is different from the claimed
population mean, does that show that the claim in H0 is
false?...
A manager is looking at the number of sick days used by employees in a year....
A manager is looking at the number of sick days used by
employees in a year.
H0: the average number is 8 or below
H1: the average is over 8
We know that the standard deviation of the number of sick days
used by employees is 2, and we want to test at 10% significance
level.
Say we took a random sample of 50 employees, and checked their
records, and found that the average was 8.1
The manager figures that...
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