The average number of miles a person drives per day is 30. A researcher wishes to see if people over age of 60 drive less than 30 miles a day. She selects a random sample of 43 drivers over the age of 60 and finds that the mean number of miles driven is 28.2. The population standard deviation is 3.2 miles. At 0.05 level of significance, is there sufficient evidence that those drivers over 60 years old drive less than 30 miles per day on average? Assume that the variable is normally distributed. Express your answers correct to 2 decimal places. Type your answers in this order: a) to d) a) What test should be performed (z or t)? Type the corresponding letter. b) Find the critical value(s). If there are two values (2 –tail test), type the negative value first and separate them with a comma. c) Calculate the test statistic d) Make a decision. Type R if you choose to "Reject the null hypothesis, Type F if you choose to "Fail to reject the null hypothesis".

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The average number of miles a person drives per day is 30. A researcher wishes to see if people
over age of 60 drive less than 30 miles a day. She selects a random sample of 43 drivers over the
age of 60 and finds that the mean number of miles driven is 28.2. The population standard
deviation is 3.2 miles. At 0.05 level of significance, is there sufficient evidence that those drivers
over 60 years old drive less than 30 miles per day on average? Assume that the variable is
normally distributed.
Express your answers correct to 2 decimal places. Type your answers in this order: a) to d)
a) What test should be performed (z or t)? Type the corresponding letter.
b) Find the critical value(s). If there are two values (2 -tail test), type the negative value first and
separate them with a comma.
c) Calculate the test statistic
d) Make a decision. Type R if you choose to "Reject the nullI hypothesis, Type F if you choose to
"Fail to reject the null hypothesis".
Transcribed Image Text:The average number of miles a person drives per day is 30. A researcher wishes to see if people over age of 60 drive less than 30 miles a day. She selects a random sample of 43 drivers over the age of 60 and finds that the mean number of miles driven is 28.2. The population standard deviation is 3.2 miles. At 0.05 level of significance, is there sufficient evidence that those drivers over 60 years old drive less than 30 miles per day on average? Assume that the variable is normally distributed. Express your answers correct to 2 decimal places. Type your answers in this order: a) to d) a) What test should be performed (z or t)? Type the corresponding letter. b) Find the critical value(s). If there are two values (2 -tail test), type the negative value first and separate them with a comma. c) Calculate the test statistic d) Make a decision. Type R if you choose to "Reject the nullI hypothesis, Type F if you choose to "Fail to reject the null hypothesis".
Expert Solution
Step 1

z-test should be performed.

Null and alternative hypothesis is:

H0:μ=30Hα:μ<30

Step 2

The critical value(s) are

-zα=-z0.05=-1.645

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