QUESTION 6 Suppose we would like to test the claim that the average age of Douglas College students is 22 years old. We randomly select n=40 students and determine that their mean age is 23.5 with sample standard deviation s=3.5 years. Why will it be accurate to use the t distribution in conducting a hypothesis test on the population mean? 0 a. Because both np and n(1-p) are greater than 5 O b. Because ages of Douglas College students are skewed to the right 0 c. Because our sample size n is sufciently large and the population standard deviation 0 is unknown 0 d. Because we know the population standard deviation 0 QUESTION 7 (previous question continued) What is the value of the test statistic for this sample? Round to four decimal places. QUESTION 8 (previous question continuing...) What is the P-value for the sample data in the previous question? Use StatCrunch and round to four decimal places. QUESTION 9 (previous question continuing...) What is the correct conclusion of this hypothesis test? O a. We have sufficient evidence to support the claim, at the 5% significance level, that the average age of Douglas College students is 22 years old. O b. We have insufficient evidence to support the claim, at the 5% significance level, that the average age of Douglas College students is 22 years old. O c. We have sufficient evidence to reject the claim, at the 5% significance level, that the average age of Douglas College students is 22 years old. Od. We have insufficient evidence to reject the claim, at the 5% significance level, that the average age of Douglas College students is 22 years old.QUESTION 10 Suppose we would like to test the claim that the average age of Douglas College students is more than 22 years old. We randomly select n= 250 students and determine that their mean age is X= 22.5 with sample standard deviation s = 4.1 years. What is the value of the t-statistic for this sample? Round to four decimal places. QUESTION 11 (previous question continuing...) What is the P-value for the sample data in the previous question? Round to four decimal places. QUESTION 12 (previous question continuing...) What is the correct conclusion of this hypothesis test? O a. We have sufficient evidence to support the claim, at the 5% significance level, that the average age of Douglas College students is more than 22 years old. O b. We have insufficient evidence to support the claim, at the 5% significance level, that the average age of Douglas College students is more than 22 years old. O c. We have sufficient evidence to reject the claim, at the 5% significance level, that the average age of Douglas College students is more than 22 years old. O d. We have insufficient evidence to reject the claim, at the 5% significance level, that the average age of Douglas College students is more than 22 years old