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Question description

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: .

Sample data: n = 15, x & OverBar; = 118, s = 11.

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

μ and

select: student T distribution, normal distribution or 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:

Sample data: n = 19, x O&verBar;= 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 σ is unknown.

Select either: student T distribution, normal distribution or 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:

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 σ is known.

Selec either: student T distribution, normal distribution or 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? Show all of your steps.

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