The next two questions are going to ask you to perform a complete hypothesis test. So even though your submitted answer will be only the conclusion, I'm expecting you to work through all parts of each test. It's good practice for homework/exams.
5. To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son 7 inches and obtains the following data. Can you conclude that sons are statistically significantly taller than their fathers? You can assume heights are normally distributed. Use a 5% significance level.
able[[Dad,70.3,67.1,70.9,66.8,72.8,70.4,71.8,70.7,69.9,70.8,70.2,70.4,72.4],[Son,74.1,69.2,66.9,69.2,68.9,70.2,70.4,69.3,75.8,72.3,69.2,68.6,73.9]]
a. p-value <alpha , so reject the null hypothesis. There is sufficient evidence to conclude that sons are taller than their fathers.
b. p-value <alpha , so fail to reject the null hypothesis. There is not sufficient evidence to conclude that sons are taller than their fathers.
c. p-value >alpha , so reject the null hypothesis. There is sufficient evidence to conclude that sons are taller than their fathers.
d. p-value >alpha , so fail to reject the null hypothesis. There is not sufficient evidence to conclude that sons are taller than their fathers.
6. A beverage manufacturer wants to test the claim that an aluminum can will chill faster than a glass bottle. A sample of 22 glass bottles takes an average of 113.8 minutes to chill to serving temperature with a standard deviation of 3.9 minutes. A sample of 15 aluminum cans takes an average of 102.4 minutes with a standard deviation of 8.3 minutes. At a 5% significance level, what conclusion do you reach? You can assume normality.
a. p-value <alpha , so reject the null hypothesis. There is sufficient evidence to conclude that aluminum cans chill faster than glass bottles.
b. p-value >alpha , so fail to reject the null hypothesis. There is not sufficient evidence to conclude that aluminum cans chill faster than glass bottles.
c. p-value >alpha , so reject the null hypothesis. There is sufficient evidence to conclude that aluminum cans chill faster than glass bottles.
d. p-value <alpha , so fail to reject the null hypothesis. There is not sufficient evidence to conclude that aluminum cans chill faster than glass bottles.
The next two questions are going to ask you to perform a complete hypothesis test. So even though your submitted answer will be only the conclusion, I'm expecting you to work through all parts of each test.It's good practice for homework/exams.
5. To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Can you conclude that sons are statistically significantly taller than their fathers? You can assume heights are normally distributed Use a 5% significance level.
Da
70.3 67.1 70.9 66.8 72.8 70.4 71.8 70.7 69.9 70.8 70.2 70.4 72.4
74.1 69.2 66.9 69.2 68.9 70.2 70.4 69.3 75.8 72.3 69.2 68.6 73.9
a. p-value < a,so reject the null hypothesis.There is sufficient evidence to
conclude that sons are taller than their fathers.
b. p-value < a,so fail to reject the null hypothesis. There is not sufficient evidence to conclude that sons are taller than their fathers c. p-value > a, so reject the null hypothesis. There is sufficient evidence to conclude that sons are taller than their fathers. d.p-value > a,so fail to reject the null hypothesis. There is not sufficient evidence to conclude that sons are taller than their fathers.
6.A beverage manufacturer wants to test the claim that an aluminum can will chill faster than a glass bottle. A sample of 22 glass bottles takes an average of 113.8 minutes to chill to serving temperature with a standard deviation of 3.9 minutes. A sample of 15 aluminum cans takes an average of 102.4 minutes with a standard deviation of 8.3 minutes. At a 5% significance level, what conclusion do you reach? You can assume normality. a.p-value < a, so reject the null hypothesis. There is sufficient evidence to conclude that aluminum cans chill faster than glass bottles b.p-value > a, so fail to reject the null hypothesis.There is not sufficient evidence to conclude that aluminum cans chill faster than glass bottles c.p-value > a, so reject the null hypothesis.There is sufficient evidence to conclude that aluminum cans chill faster than glass bottles d. p-value < a, so fail to reject the null hypothesis. There is not sufficient evidence to conclude that aluminum cans chill faster than glass bottles
