Question

# 1) Determine whether the following hypothesis test involves a sampling distribution of means that is a...

1) Determine whether the following hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither.

Claim about IQ scores of statistics instructors: μ > 100.

Sample data: n = 15, x ¯= 118, s = 11.

The sample data appear to come from a normally distributed population with unknown μand σ.

a) student T-distribution

b) Normal distribution

c) Neither

2)

Determine whether the following hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither.

Claim about daily rainfall amounts in Boston: μ < 0.20 i n c h e s

Sample data: n = 19, x ¯= 0.10in, s = 0.26 in.

The sample data appear to come from a population with a distribution that is very far from normal, and σis unknown.

a) Student T-distribution

b) Normal distribution

c) Neither

3)

Determine whether the following hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither.

Claim about daily rainfall amounts in Boston: μ < 0.20 i n c h e s

Sample data: n = 52, x ¯= 0.10in, s = 0.26 in.

The sample data appear to come from a population with a distribution that is normal, and σis known.

a) Student T- distribution

b) Normal distribution

c) neither

4.)

The U.S. Mint has a specification that pennies have a mean weight of 2.5 g. A sample of 37 pennies has a mean weight of 2.49910 g and a standard deviation of 0.01648 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Do the pennies appear to conform to the specifications of the U.S. Mint?

Which of the following are the correct hypotheses?

a) H 0 μ = 2.5 H 1 μ ≠ 2.5

b) H 0 μ = 2.5 H 1 μ > 2.5

c) H 0 μ = 2.5 H 1 μ < 2.5

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