1. If repeated samples of 31 female first-year college students were obtained an

Question

1. If repeated samples of 31 female first-year college students were obtained and for each sample an approximate 95% confidence interval was made, 95% of the intervals would be expected to contain the population mean weight gain of all female first-year college students.

Question 1 options (choose one):

2. Grandma’s birthday is coming up and my kids are both excited to get her the perfect gift. We have 2 different colors of wrapping paper at home, Green and Red. Child A loves Green and Red and gravitates toward Red 60% of the time and Child B also loves Green and Red but gravitates toward Red 30% of the time. If on Grandma’s birthday she gets a gift that is wrapped in Red wrapping paper she will conclude that Child A gave her the gift, and if she gets a gift that is wrapped in Green wrapping paper, she will conclude that Child B gave her the gift.

Statistically speaking, the following hypotheses and rejection rule have been stated:

H0: The gift comes from Child A; that is, the P(wrapping paper is Red | gift comes from Child A) = 0.60.
Ha: The gift comes from Child B; that is, the P(wrapping paper is Red | gift comes from Child B) = 0.30.

When grandma gets her gift, her decision rule wll be: Reject H0 if the wrapping paper is Green and thus fail to reject H0 if the wrapping paper is Red.

For this situation, what is the value of , the significance level (also known as the probability of incorrectly rejecting the null hypothesis)?

Question 2 options (choose one):

A.) 0.05

B.) 0.10

C.) 0.20

D.) 0.30

E.) 0.40

F.) 0.60

G.) 0.70

Continuing on: For this situation, what is the power of the test (also known as the probability of correctly rejecting the null hypothesis)?

Question options:

A.) 0.05

B.) 0.10

C.) 0.20

D.) 0.30

E.) 0.40

F.) 0.60

G.) 0.70

Continuing on again: For this situation, what is the probability of committing a Type II error?

Question options:

A.) 0.05

B.) 0.10

C.) 0.20

D.) 0.30

E.) 0.40

F.) 0.60

G.) 0.70

Explanation / Answer

dear student please post the question one at a time.

1) true.

say we repeatedly drew samples of the same size from a population and constructed 95% confidence intervals for each sample, and we repeated this process 1000 times. Then we would expect 95%, or 950, of these confidence intervals to contain the true population parameter. In reality, though, we typically construct only one such confidence interval and thus we are X-% confident that this interval has captured the true parameter.

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