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. The standard deviation of the population is 1.2. Is there enough evidence to support the researcher's claim at a=0.01?

Question
Asked Apr 29, 2019

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. The standard deviation of the population is 1.2. Is there enough evidence to support the researcher's claim at a=0.01?

check_circle

Expert Answer

Step 1

Hypotheses:

Let µ be the true average number of sick days a worker takes per year. The aim of the researcher is to check whether the number of sick days a worker takes per year is greater than 5 or not. The null and the alternative hypotheses are,

fullscreen
Step 2

The sample size is 32 that is greater than 30 and the population standard deviation is known as 1.2. Hence, z test can be used for testing the mean.

Test statistic:

The test statistic for hypothesis test for proportion is given by:

fullscreen
Step 3

Computing the test statistic for hypothesis te...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: I created a Venn Diagram to Solve This Problem.

A: Given Total number of tourists = 1232Total number of tourists visited Magic kingdom = 300Total numbe...

question_answer

Q: High in the Rocky Mountains, a biology research team has drained a lake to get rid of all fish. Afte...

A: The proportion of tagged trout in the lake is, p = 700/2000 = 0.35Let X be the number of tagged trou...

question_answer

Q: A raffle is being held to benefit the local animal shelter. They sell 832 tickets that do not win an...

A: Total number of tickets sold = 832+9+1 = 842Price of each ticket = $5Total income from 842 tickets =...

question_answer

Q: A population has a mean of 15 and standard deviation of 3. Round the answers to two decimal places a...

A: Let X be the observation. X follows normal distribution with mean μ = 15 and the standard deviation ...

question_answer

Q: Jane has stored three albums on her iPod. The first album consists of 11 songs by Frank Sinatra, the...

A: According to the given question, Jane has stored three albums on her iPod.The first album consists o...

question_answer

Q: What’s the mean annual return of the S&P 400 Midcap Index over the past 7 years?  What’s the sta...

A: Hello there! there are more than three sub parts in the given question. According to our policies we...

question_answer

Q: Is the magnitude of an earthquake related to the depth below the surface at which the quake occurs? ...

A: (a) Scatter diagram of the data:The line that best fits the data is least-squares regression line.Th...

question_answer

Q: In a survey of 3 of 4 students said the courts show too much concern for criminals.  Find the probab...

A: According to the given question, in a survey of 3 of 4 students said the courts show too much concer...

question_answer

Q: See attachment for question.

A: Given information:Here, it is given that Xi is a random variable.The probabilities of a random varia...