To answer questions 1-3, please read the following:

What distribution should be used for hypothesis tests for mean

1) Use normal distribution if

standard deviation of the population is known and

population isnormally distributed

or

standard deviation of the population known and

sample size greater than 30

2) Use t distribution if

standard deviation of the population is not known and population is normally distributed

or

standard deviation of the population is not known and

sample size is greater than 30

3) Use a nonparametric method or bootstrapping if population is not normally distributed and sample size is less than or equal 30

Solve the following to answer questions 4-9

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?

Flag question: Question 1Question 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>100.

Sample data: n = 15,xx= 118, s = 11.

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

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

Flag question: Question 2Question 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:<0.20inches<0.20inches

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

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

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

Flag question: Question 3Question 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:<0.20inches<0.20inches

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

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

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

Flag question: Question 4Question 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)H0=2.5H12.5H0=2.5H12.5

b) H0=2.5H1>2.5H0=2.5H1>2.5

c) H0=2.5H1<2.5H0=2.5H1<2.5

Group of answer choices

a

c

b

Flag question: Question 5Question 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?

Group of answer choices

t distribution with 36 degrees of freedom

normal distribution

t distribution with 2.5 degrees of freedom

t distribution with 37 degrees of freedom

Flag question: Question 6Question 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)2.0282.028

b)2.0282.028

c)2.0282.028

Group of answer choices

c

a

b

Flag question: Question 7Question 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 question: Question 8Question 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 question: Question 9Question 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 conform to the specifications of the U.S. Mint.

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

c) The sample data support the claim that the pennies conform to the specifications of the U.S. Mint.

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

Group of answer choices

b

No answer text provided.

c

d

a