1 llowsky 9 / 20 points 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 Critical Value procedure. What is the null and alternate hypothesis for this hypothesis test? a b c d Ho: Ho: Ho: Ho: = 4.5, = 4.5, = 4.5, = 4.5, Ha: Ha: Ha: Ha: > 5.1 < 5.1 > 4.5 < 4.5 ___c___ 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. ___0.01___ What is the appropriate distribution for performing this test? a b c d z distribution t distribution Either distribution Neither. This question does not depend on knowing the appropriate distribution. Select and enter the appropriate letter ___b___ What is the critical value for the test statistic? Enter answer as a 3 place decimal rounded to 3 decimal places. ___0.0005___ What is the numerical value of the test statistic? Enter answer as a decimal rounded to 1 decimal place. ___4.7___ 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. ___a___ Question 2 llowsky 10 / 20 points 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 b c d Ho: Ho: Ho: Ho: = 4.5, = 4.5, = 4.5, = 4.5, Ha: Ha: Ha: Ha: > 5.1 < 5.1 > 4.5 < 4.5 ___c___ 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. ___0.01___ What is the appropriate distribution for performing this test? a b c d z distribution t distribution Either distribution Neither. This question does not depend on knowing the appropriate distribution. Select and enter the appropriate letter ___b___ What is the numerical value of the test statistic? Enter answer as a decimal rounded to 1 decimal place. ___0.0005___ 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. ___0.05___ 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. ___b___ 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. ___a___ Question 3 llowsky 10 / 20 points 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 population standard deviation 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 b c d e The mean age of first starting to smoke is less than or equal to (< = ) 18.1 The mean age of first starting to smoke is greater than or equal to (> =) 18.1 The mean age of first starting to smoke is not equal to () 19 The mean age of first starting to smoke is greater than or equal to(> =) 19 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. ___d___ What is the Alternate Hypothesis? Note; The alternate hypothesis must not include an equal sign. It may include a not equal sign. a b c d e f The mean age of first starting to smoke is less than (< ) 18.1 The mean age of first starting to smoke is greater than (>) 18.1 The mean age of first starting to smoke is not equal to () 19 The mean age of first starting to smoke is greater than (> ) 19 The mean age of first starting to smoke is less than (< ) 19 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. ___e___ 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. ___0.03___ What is the appropriate distribution to use to answer the question? a b c d e Uniform Distribution Normal Distribution t Distribution Chi Square Distribution F Distribution Enter the correct answer by selecting the appropriate letter without a decimal point. ___b___ What is the critical value of the Test Statistic? Enter answer as a 2 or 3 place decimal. ___-2.71___ What is the numerical value of the Test Statistic? Enter answer with 2 place precision. ___0.05___ What is the Decision rule? The decision is the Alternate Hypothesis if the Test Statistic is: a Greater than or equal to the Critical Value. (Equal to or more positive than the critical value.) b Smaller than or equal to the Critical Value. (Equal to or more negative than the critical value.) c Not equal to the Critical Value. (Greater than or less than the critical value.) Enter the correct answer by selecting the appropriate letter without a decimal point. ___b___ What is the appropriate decision based upon your analyses of the data a b c There is sufficient evidence reject the null hypothesis. There is insufficient evidence to reject the null hypothesis. There is insufficient evidence to make a decision based upon the data. Enter the correct answer by selecting the appropriate letter without a decimal point. ___a___ Question 4 llowsky Page 505 16 / 20 points Ex 75 (Pvalue 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. 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. What is the Null Hypothesis? a b c d e The mean age of first starting to smoke is less than or equal to (< = ) 18.1 The mean age of first starting to smoke is greater than or equal to (> =) 18.1 The mean age of first starting to smoke is not equal to () 19 The mean age of first starting to smoke is greater than or equal to(> =) 19 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. ___d___ What is the Alternate Hypothesis? a b c d e f The mean age of first starting to smoke is less than (< ) 18.1 The mean age of first starting to smoke is greater than (>) 18.1 The mean age of first starting to smoke is not equal to () 19 The mean age of first starting to smoke is greater than (> ) 19 The mean age of first starting to smoke is less than (< ) 19 The mean age of first starting to smoke is equal to () 19 Enter the correct answer by selecting the appropriate letter without a decimal point. ___e___ 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. ___0.34___ What is the appropriate distribution to use to answer the question? a b c d e Uniform Distribution Normal Distribution t Distribution Chi Square Distribution F Distribution Enter the correct answer by selecting the appropriate letter without a decimal point. ___b___ What is the numerical value of the Test Statistic? Enter answer rounded to 2 decimal places. ___-2.71___ What is the numerical value of the Pvalue? Enter answer rounded to 3 or 4 place places with a zero to the left of the decimal place. Do not enter answer as a percent. ___0.0034___ 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 or equal to 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. Enter the correct answer by selecting the appropriate letter without a decimal point. ___b___ What is the appropriate decision based upon your analyses of the data? Enter the correct answer by selecting the appropriate letter without a decimal point. a b c There is sufficient evidence reject the null hypothesis. There is insufficient evidence to reject the null hypothesis. There is insufficient evidence to make a decision based upon the data. Enter the correct answer by selecting the appropriate letter without a decimal point. ___a___ Question 5 Illowsky 7 / 20 points Page 505 Ex 80 (Problem and Data Modified) Your statistics instructor claims that 60% of students that take her Elementary Statistics class go through life feeling more enriched. You believe the actual number of students that took her Elementary Statistics class that feel more enriched is less than 60%. You decide to check her conjecture by randomly survey 64 of her past students. In your random survey of 64 of her previous students 33 of the students felt more enriched. At a significance level of 5% does the data support your belief? What is the null hypothesis for this hypothesis test? a The number of students that took her class and feel more enriched is less than or equal to 60%. b The number of students that took her class and feel more enriched is less than 60%. c The number of students that took her class and feel more enriched is more than or equal to 60% d The number of students that took her class and feel more enriched is more than 60%. e The number of students that took her class and feel more enriched is not equal to 60%. Enter the correct answer by selecting the appropriate letter without a decimal point. ___c___ What is the alternate hypothesis for this hypothesis test? a The number of students that took her class and feel more enriched is less than or equal to 60%. b The number of students that took her class and feel more enriched is less than 60%. c The number of students that took her class and feel more enriched is more than or equal to 60% d The number of students that took her class and feel more enriched is more than 60%. e The number of students that took her class and feel more enriched is not equal to 60%. Enter the correct answer by selecting the appropriate letter without a decimal point. ___e___ 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. ___0.05___ What is the appropriate distribution to use to answer the question? a b c d e Uniform Distribution Normal Distribution t Distribution Chi Square Distribution F Distribution Enter the correct answer by selecting the appropriate letter without a decimal point. ___b___ What is the numerical value of the Test Statistic? Enter answer as a decimal rounded to 2 places. ___1.12___ What is the numerical value of the Pvalue? Enter answer rounded to 3 places with a zero to the left of the decimal place. Do not enter answer as a percent. ___0.130___ 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 or equal to the significant level of the test. c. The data supports the alternate hypothesis if the Pvalue equals the significant level of the test. d. The data supports the alternate hypothesis if the Pvalue does not equal the significant level of the test. Select the correct answer and enter the appropriate letter without a decimal point. ___a___ What is the appropriate decision based upon your analyses of the data? Enter the correct answer by selecting the appropriate letter without a decimal point. a b c There is sufficient evidence reject the null hypothesis. There is insufficient evidence to reject the null hypothesis. There is insufficient evidence to make a decision based upon the data. Enter the correct answer by selecting the appropriate letter without a decimal point. ___c___