homework questions

Flag this QuestionQuestion 11 pts

Determine whether the following hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither (please make sure that you read the instructions for that quiz, you might find it helpful to answer this question).

Claim about IQ scores of statistics instructors: :100″>
$\mu >100$.

Sample data: n = 15,
$\bar{x}$= 118, s = 11.

The sample data appear to come from a normally distributed population with unknown
$\mu$and
$\sigma$.

[ Select ] [“Student T-Distribution“, “Normal Distribution“, “Neither“]

Flag this QuestionQuestion 21 pts

Determine whether the following hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither (please make sure that you read the instructions for that quiz, you might find it helpful to answer this question).

Claim about daily rainfall amounts in Boston:
$\mu <0.20inches$

Sample data: n = 19,
$\bar{x}$= 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
$\sigma$is unknown.

[ Select ] [“Student T-distribution“, “Normal distribution“, “Neither“]

Flag this QuestionQuestion 31 pts

Determine whether the following hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither (please make sure that you read the instructions for that quiz, you might find it helpful to answer this question).

Claim about daily rainfall amounts in Boston:
$\mu <0.20inches$

Sample data: n = 52,
$\bar{x}$= 0.10in, s = 0.26 in.

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

[ Select ] [“Student T-Distribution“, “Normal Distribution“, “Neither“]

Flag this QuestionQuestion 41 pts

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)
$H_0\mu =2.5H_1\mu \ne 2.5$

b) 2.5″>
$H_0\mu =2.5H_1\mu >2.5$

c)
$H_0\mu =2.5H_1\mu <2.5$

Flag this QuestionQuestion 51 pts

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?

What distribution should we use for the hypotheses testing?

Flag this QuestionQuestion 61 pts

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?

What is the critical value?

a)
$\pm 2.028$

b)
$2.028$

c)
$-2.028$

Flag this QuestionQuestion 71 pts

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?

Calculate the test statistic. Round your answer to the nearest thousandths.

Flag this QuestionQuestion 81 pts

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?

We [ Select ] [“Fail to reject“, “reject“] null hypothesis.

Flag this QuestionQuestion 91 pts

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 is a correct conclusion:

a) There is sufficient evidence to warrant rejection of the claim that the pennies do not conform to the specifications of the U.S. Mint.

b) There is not sufficient evidence to warrant rejection of the claim that the pennies do not conform to the specifications of the U.S. Mint.

c) The sample data support the claim that the pennies do not conform to the specifications of the U.S. Mint.

d) There is not sufficient sample evidence to support the claim that the pennies do not conform to the specifications of the U.S. Mint,