The mean age of a random sample of 25 people who were playing the slot machines is 48.7 years, and the standard deviation is 6.8 years. The mean age of a random sample of 35 people who were playing roulette is 55.3 with a standard deviation of 3.2 years. Can it be concluded at a = 0.10 that the mean age of those playing the slot machines is less than those playing roulette? Assume populations are normaly distributed. a. Determine whether this is a right tailed test, left tailed test or two tailed test. (If the answer is Right tailed, type "right", if the answer is Left tailed type "left", if the answer is Two tailed type "two") b. Compute the value of the test statistic (Provide the answer with 3 decimal places). c. How many degrees of freedom are there? d. What is the critical value/ P-value? (Provide the answer with 3 decimal places) e. Do you reject the null hypothesis? (If the answer is yes, type "y", if the answer is no type "n")

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The mean age of a random sample of 25 people who were playing the slot machines is 48.7 years, and the standard deviation is 6.8
years. The mean age of a random sample of 35 people who were playing roulette is 55.3 with a standard deviation of 3.2 years. Can
it be concluded at a =
0.10 that the mean age of those playing the slot machines is less than those playing roulette? Assume
populations are normaly distributed.
a. Determine whether this is a right tailed test, left tailed test or two tailed test.
(If the answer is
Right tailed, type "right", if the answer is Left tailed type "left", if the answer is Two tailed type "two")
b. Compute the value of the test statistic (Provide the answer with 3 decimal places).
c. How many degrees of freedom are there?
d. What is the critical value/ P-value? (Provide the answer with 3 decimal places)
e. Do you reject the null hypothesis? (If the answer is yes, type "y", if the answer is no type "n")
Transcribed Image Text:The mean age of a random sample of 25 people who were playing the slot machines is 48.7 years, and the standard deviation is 6.8 years. The mean age of a random sample of 35 people who were playing roulette is 55.3 with a standard deviation of 3.2 years. Can it be concluded at a = 0.10 that the mean age of those playing the slot machines is less than those playing roulette? Assume populations are normaly distributed. a. Determine whether this is a right tailed test, left tailed test or two tailed test. (If the answer is Right tailed, type "right", if the answer is Left tailed type "left", if the answer is Two tailed type "two") b. Compute the value of the test statistic (Provide the answer with 3 decimal places). c. How many degrees of freedom are there? d. What is the critical value/ P-value? (Provide the answer with 3 decimal places) e. Do you reject the null hypothesis? (If the answer is yes, type "y", if the answer is no type "n")
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,