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Can you explain the following questions.. 1 - 7 A consumer testing service teste

ID: 3264622 • Letter: C

Question

Can you explain the following questions.. 1 - 7

A consumer testing service tested whether the average baking time of whole wheat bread in gas ovens was less than the average baking time of whole wheat bread in electric ovens. Ten loaves of whole wheat bread were prepared and five were randomly assigned to be baked in the five randomly selected gas ovens and five were randomly assigned to be baked in the five randomly selected electric ovens.

What is the response variable in this scenario, and is it quantitative or categorical?

A poultry specialist is conducting an experiment to determine whether the mean cholesterol content of egg yolks is affected by adding certain chemicals to the feed given to the hens laying those eggs. The 120 laying hens available for the study will be randomly allocated to three groups. Each group of hens will be fed a ration with a different chemical additive and the cholesterol content of their eggs will be measured.

1. Suppose a 95% confidence interval for the mean tail length of all giant pandas who weigh 110 kilograms is (12.32 cm, 13.88 cm). Which of the following could be the corresponding 95% prediction interval for the tail length of an individual giant panda who weighs 110 kilograms? (Hint: y = 13.1.) a (11.54 cm, 13.10 cm) b (11.16 cm, 14.48 cm) c (12.57 cm, 13.63 cm) d (11.94 cm, 14.26 cm) Use this information to answer the next three questions.

A consumer testing service tested whether the average baking time of whole wheat bread in gas ovens was less than the average baking time of whole wheat bread in electric ovens. Ten loaves of whole wheat bread were prepared and five were randomly assigned to be baked in the five randomly selected gas ovens and five were randomly assigned to be baked in the five randomly selected electric ovens.

2. What is the explanatory variable, and is it quantitative or categorical? type of oven (gas versus electric) which is categorical baking time which is quantitative baking time which is categorical type of oven (gas versus electric) which is quantitative type of bread which is categorical type of bread which is quantitative 3. A consumer testing service tested whether the average baking time of whole wheat bread in gas ovens was less than the average baking time of whole wheat bread in electric ovens. Ten loaves of whole wheat bread were prepared and five were randomly assigned to be baked in the five randomly selected gas ovens and five were randomly assigned to be baked in the five randomly selected electric ovens.

What is the response variable in this scenario, and is it quantitative or categorical?

baking time which is quantitative type of bread which is categorical type of oven (gas versus electric) which is quantitative baking time which is categorical type of oven (gas versus electric) which is categorical type of bread which is quantitative 4. Which procedure should be used for this test? chi-square test analysis of variance two-sample z-test for proportions one-sample z-test for proportion regression analysis two-sample t-test for means matched pairs t-test for mean difference one-sample t-test for mean (but not matched pairs) Use this information to answer the next three questions.

A poultry specialist is conducting an experiment to determine whether the mean cholesterol content of egg yolks is affected by adding certain chemicals to the feed given to the hens laying those eggs. The 120 laying hens available for the study will be randomly allocated to three groups. Each group of hens will be fed a ration with a different chemical additive and the cholesterol content of their eggs will be measured.

5. What is the explanatory variable, and is it quantitative or categorical? number of laying hens in each group which is categorical cholesterol content of the hens’ eggs which is categorical cholesterol content of the hens’ eggs which is quantitative number of laying hens in each group which is quantitative type of chemical additive to the group of hens’ feed which is categorical type of chemical additive to the group of hens’ feed which is quantitative breed of chicken which is categorical breed of chicken which is quantitative 6. What is the response variable, and is it quantitative or categorical? cholesterol content of the hens’ eggs which is categorical breed of chicken which is quantitative cholesterol content of the hens’ eggs which is quantitative breed of chicken which is categorical number of laying hens in each group which is categorical type of chemical additive to the group of hens’ feed which is categorical number of laying hens in each group which is quantitative type of chemical additive to the group of hens’ feed which is quantitative 7. Which procedure should be used for this test? matched pairs t-test for mean difference one-sample t-test for mean (but not matched pairs) regression analysis two-sample t-test for means chi-square test analysis of variance one-sample z-test for proportion two-sample z-test for proportions

Explanation / Answer

Please post 1 question at a time

1. The average of the upper and lower bound should still be Y^ = 13.1

For which of option is the average still 13.1?

a. 11.54+13.1/2 <13.1
b. 11.16 +14.48/2 != 13.1
c. 12.57+13.63/2 = 13.1. Wrong answer altough 13.1. Please see below reason.
d. 11.94+14.26/2 = 13.1. Right answer.

For a sample the range is smaller.for individual it is bigger.
Therefore, the range here should be more than (12.32,13.88), which is the CI for sample ( of sample mean as given in Qn)

If you want to see mathematically, Range of CI = Xbar +/- Z*sigma/sqrt(n)
Case1:n = 1 (for individual) , some range,
Case2:n > 1 ( for sample) , some range less than Case 1

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