When consumers apply for credit, their credit is rated using FICO (Fair, Isaac, and Company) scores.A random sample of 18 credit ratings is obtained.The mean FICO scores of the sample is 660.3 and the sample standard deviation is 95.9.Using a 0.05 significance level to test the claim that the mean FICO scores of the population is 700, the required minimum score for a car loan at Century Bank.The population standard deviation is not known.

Question 37(5 points)

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Match each item with its corresponding value.

Question 37 options:

1

2

3

4

5

0.05

1

2

3

4

5

660.3

1

2

3

4

5

95.9

1

2

3

4

5

18

1

2

3

4

5

700

1.

Population mean

2.

Sample mean

3.

Sample standard deviation

4.

Sample size

5.

Significance level

Question 38(2 points)

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Which test should you conduct?

Question 38 options:

One mean t-test

Chi-square Goodness of Fit

Analysis of Variance

One mean z-test

Question 39(2 points)

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What is the null hypothesis?

Question 39 options:

H_o:700

{"version":"1.1","math":"$\mu \ne 700$"}

H_o:=700

{"version":"1.1","math":"$\mu =700$"}

Question 40(2 points)

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What is the alternative hypothesis?

Question 40 options:

Ha:700

{"version":"1.1","math":"$\mu \ne 700$"}

H_a:=700

{"version":"1.1","math":"$\mu =700$"}

Question 41(3 points)

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What is the test statistic? Round answers to two decimal places.

Question 41 options:

3.88

-3.88

1.76

-1.76

Question 42(3 points)

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What is the corresponding p-value of the test statistic?Round answer to 3 decimal places

Question 42 options:

0.001

0.097

0.079

-0.097

Question 43(2 points)

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What is the conclusion when you compare the p-value and the level of significance (alpha)?

Question 43 options:

Reject the null hypothesis

Fail to reject the null hypothesis

Question 44(3 points)

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What is the conclusion based on the original claim?

Question 44 options:

At the 0.05 significance level, themean FICO score is not 700.

At the 0.05 significance level, the mean FICO scores is 700.