# Significance level using the Critical Value procedure

Question 1

llowsky Page 505 Ex 77

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An article in the San Jose Mercury News stated that students in the system take 4.5 years, on average, to finish their undergraduate degrees.

Suppose you believe that the mean time is longer. You conduct a survey of 49 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2 and then perform a hypothesis at a 1% significance level using the .

What is the null and alternate hypothesis for this hypothesis test?

a Ho: = 4.5, Ha: > 5.: = 4.5, Ha: < 5.: = 4.5, Ha: > 4.5 d Ho: = 4.5, Ha: < 4.5

________

What is the numerical value of for this test? Enter answer as a 2 place decimal with a 0 to the left of the decimal point. Do not enter answer as a percent.

________

What is the appropriate distribution for performing this test?

a z distribution b t distribution c Either distribution d Neither. This question does not depend on knowing the appropriate distribution.

Select and enter the appropriate letter

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What is the critical value for the test statistic? Enter answer as a 3 place decimal rounded to 3 decimal places.

________

What is the numerical value of the test statistic? Enter answer as a decimal rounded to 1 decimal place.

________

Based upon the Hypothesis test what is your decision?

a There is insufficient evidence, based upon the data, to accept the alternate hypothesis. b There is sufficient evidence, based upon the data, to accept the alternate hypothesis. c It is not possible to make a decision (null or alternate), based upon the data. d A strong case could be made for either decision (null or alternate) based upon the data.

________

Question 2

llowsky Page 505 Ex 77

An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees.

Suppose you believe that the mean time is longer. You conduct a survey of 49 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2 and then perform a hypothesis at a 1% significance level using the Pvalue procedure.l.

What is the null and alternate hypothesis for this hypothesis test?

a Ho: = 4.5, Ha: > 5.1 b Ho: = 4.5, Ha: < 5.1 c Ho: = 4.5, Ha: > 4.5 d Ho: = 4.5, Ha: < 4.5

________

What is the numerical value of for this test? Enter answer as a 2 place decimal with a 0 to the left of the decimal point. Do not enter answer as a percent.

________

What is the appropriate distribution for performing this test?

a z distribution b t distribution c Either distribution d Neither. This question does not depend on knowing the appropriate distribution.

Select and enter the appropriate letter

________

What is the numerical value of the test statistic? Enter answer as a decimal rounded to 1 decimal place.

________

What is the numerical value of the Pvalue? Enter answer rounded to 2 decimal places with a zero to the left of the decimal point.

________

What is the Pvalue Decision Rule?

a. The data supports the alternate hypothesis if the Pvalue is greater than the significant level of the test. b. The data supports the alternate hypothesis if the Pvalue is less than the significant level of the test. c. The Pvalue must equal the significant level of the test for the decision of the hypothesis test to be alternate. d. The Pvalue must not be equal the significant level of the test for the decision of the hypothesis test to be alternate.

Select the correct answer and enter the appropriate letter.

________

Based upon the Hypothesis test what is your decision?

a There is insufficient evidence, based upon the data, to accept the alternate hypothesis. b There is sufficient evidence, based upon the data, to accept the alternate hypothesis. c It is not possible to make a decision (null or alternate), based upon the data. d A strong case could be made for either decision (null or alternate) based upon the data.

________

Question 3

llowsky Page 505 Ex 75 (Classical procedure)

From Generation to Generation, the mean age when smokers first start to smoke varies. However, the standard deviation of the age remains constant of around 2.1 years. A survey of 40 smokers of this generation was done to see if the mean starting age is less than 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at a 5% level?

Note:

The null hypothesis must include an equal sign. The alternate hypothesis must not include an equal sign.

When the is given (2.1) and the sample standard deviation is also given (1.3) we always use the population standard deviation.

What is the Null Hypothesis?

a The mean age of first starting to smoke is less than or equal to (< = ) 18.1 b The mean age of first starting to smoke is greater than or equal to (> =) 18.1 c The mean age of first starting to smoke is not equal to () 19 d The mean age of first starting to smoke is greater than or equal to(> =) 19 e The mean age of first starting to smoke is less than or equal to (< =) 19

Enter the correct answer by selecting the appropriate letter without a decimal point.

________

What is the Alternate Hypothesis?

Note; The alternate hypothesis must not include an equal sign. It may include a not equal sign.

a The mean age of first starting to smoke is less than (< ) 18.1 b The mean age of first starting to smoke is greater than (>) 18.1 c The mean age of first starting to smoke is not equal to () 19 d The mean age of first starting to smoke is greater than (> ) 19 e The mean age of first starting to smoke is less than (< ) 19 f The mean age of first starting to smoke is not equal to () 19

Enter the correct answer by selecting the appropriate letter without a decimal point.

________

What is the significance level of the test?

Enter answer as a 2 place decimal with a 0 entered to the left of the decimal point. Do not enter answer as a percent.

________

What is the appropriate distribution to use to answer the question?

a Uniform Distribution b Normal Distribution c t Distribution d Chi Square Distribution e F Distribution

Enter the correct answer by selecting the appropriate letter without a decimal point.

________

What is the critical value of the Test Statistic? Enter answer as a 2 or 3 place decimal.

________

What is the numerical value of the Test Statistic? Enter answer with 2 place precision.

________

What is the Decision rule?

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