Sick Days in Bed 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 26 workers at a large department store had a mean of 5.2. The standard deviation of the population is 1.3. Is there enough evidence to support the researcher's claim at a=0.05? Assume that the variable is normally distributed. Use the critical value method with tables. Part: 0 / 5 Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) H : (Choose one) This hypothesis test is a (Choose one) ▼ test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Sick Days in Bed 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 26
workers at a large department store had a mean of 5.2. The standard
deviation of the population is 1.3. Is there enough evidence to support the
researcher's claim at a=0.05? Assume that the variable is normally distributed.
Use the critical value method with tables.
Part: 0 / 5
Part 1 of 5
State the hypotheses and identify the claim with the correct hypothesis.
Ho:
(Choose one)
H :
(Choose one)
This hypothesis test is a (Choose one) ▼
test.
Transcribed Image Text:Sick Days in Bed 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 26 workers at a large department store had a mean of 5.2. The standard deviation of the population is 1.3. Is there enough evidence to support the researcher's claim at a=0.05? Assume that the variable is normally distributed. Use the critical value method with tables. Part: 0 / 5 Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) H : (Choose one) This hypothesis test is a (Choose one) ▼ test.
Sample Question
Sick Days in Bed 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 25 workers at a large department store
had a mean of 5.3. The standard deviation of the population is
1.4. Is there enough evidence to support the researcher's claim
at a= 0.01? Assume that the variable is normally distributed. Use
the critical value method with tables.
(a) State the hypotheses and identify the claim with the correct
hypothesis.
(b) Find the critical value(s).
(c) Compute the test value.
(d) Make the decision.
(e) Summarize the results.
Explanation
(a) State the hypotheses and identify the claim with the
correct hypothesis.
The null hypothesis H, is the statement that there is no
difference between a parameter and a specific value. This is
equivalent to H,:µ=5.
The alternative hypothesis H, is the statement that there is a
difference between a parameter and a specific value. In this
case, the average number of sick days is greater than 5. This is
equivalent to H : µ>5.
The problem asks, "Can it be concluded that the average
number of sick days is greater than 5?"
Hence, the claim is the alternative hypothesis.
Transcribed Image Text:Sample Question Sick Days in Bed 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 25 workers at a large department store had a mean of 5.3. The standard deviation of the population is 1.4. Is there enough evidence to support the researcher's claim at a= 0.01? Assume that the variable is normally distributed. Use the critical value method with tables. (a) State the hypotheses and identify the claim with the correct hypothesis. (b) Find the critical value(s). (c) Compute the test value. (d) Make the decision. (e) Summarize the results. Explanation (a) State the hypotheses and identify the claim with the correct hypothesis. The null hypothesis H, is the statement that there is no difference between a parameter and a specific value. This is equivalent to H,:µ=5. The alternative hypothesis H, is the statement that there is a difference between a parameter and a specific value. In this case, the average number of sick days is greater than 5. This is equivalent to H : µ>5. The problem asks, "Can it be concluded that the average number of sick days is greater than 5?" Hence, the claim is the alternative hypothesis.
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