Stat – Questions

Consider the following hypotheses:

H₀: μ ≤ 210

H_A: μ > 210

Approximate the p-value for this test based on the following sample information. Use Table 2.

= 216; s = 26; n = 40

	0.05 < p-value < 0.10
	0.10 < p-value < 0.20
	0.01 < p-value < 0.025

= 216; s = 26; n = 45

	0.10 < p-value < 0.20
	0.05 < p-value < 0.1
	0.01 < p-value < 0.10

= 216; s = 16; n = 40

	0.05 < p-value < 0.10
	0.10 < p-value < 0.20
	0.01 < p-value < 0.025

= 214; s = 16; n = 40

	0.10 < p-value < 0.20
	0.05 < p-value < 0.10
	0.01 < p-value < 0.025

Determine the critical values for the following tests of the population mean with an unknown population standard deviation. The analysis is based on 18 observations drawn from a normally distributed population at a 1% level of significance. Use Table 2. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

		Critical Value
a.	H₀: μ ≤ 52 versus H_A: μ > 52
b.	H₀: μ = 9.2 versus H_A: μ ≠ 9.2	±
c.	H₀: μ ≥ 5.6 versus H_A: μ < 5.6
d.	H₀: μ = 10 versus H_A: μ ≠ 10	±

Consider the following hypotheses:

H₀: μ = 8

H_A: μ ≠ 8

The population is normally distributed. A sample produces the following observations:


6	9	8	7	7	11	10

Use the p-value approach to conduct the test at a 5% level of significance. Use Table 2.

Click here for the Excel Data File

a.	Find the mean and the standard deviation. (Round intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.)


Mean
Standard deviation

b.	Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.)

Test statistic

Approximate the p-value of the test statistic.

	0.10 < p-value < 0.20
	p-value > 0.20
	0.05 < p-value < 0.10

What is the conclusion?

	Reject H₀ since the p-value is greater than α.
	Reject H₀ since the p-value is smaller than α.
	Do not reject H₀ since the p-value is greater than α.
	Do not reject H₀ since the p-value is smaller than α.

A machine that is programmed to package 1.20 pounds of cereal is being tested for its accuracy. In a sample of 36 cereal boxes, the mean and standard deviation are calculated as 1.22 pounds and 0.06 pound, respectively. Use Table 2.

Select the null and the alternative hypotheses to determine if the machine is working improperly, that is, it is either underfilling or overfilling the cereal boxes.

	H₀: µ = 1.20; H_A: µ ≠ 1.20
	H₀: µ ≥ 1.20; H_A: µ < 1.20
	H₀: µ ≤ 1.20; H_A: µ > 1.20

b.	Calculate the value of the test statistic. (Round your intermediate calculations to 4 decimal places and final answer to a whole number.)

Test statistic

c-1.

Approximate the p-value.

	0.1 < p-value < 0.2
	0.01 < p-value < 0.025
	0.05 < p-value < 0.10

c-2.

What is the conclusion?

	Reject H₀ since the p-value is greater than α.
	Reject H₀ since the p-value is smaller than α.
	Do not reject H₀ since the p-value is greater than α.
	Do not reject H₀ since the p-value is smaller than α.

d-1.

Calculate the critical value(s) at a 5% level of significance. (Round your answer to 3 decimal places.)

Critical value(s)

d-2.

Can you conclude that the machine is working improperly?

	Yes
	No

A mortgage specialist would like to analyze the average mortgage rates for Atlanta, Georgia. He studies the following sample APR quotes. These are the annual percentage rates (APR) for 30-year fixed loans. If he is willing to assume that these rates are randomly drawn from a normally distributed population, can he conclude that the mean mortgage rate for the population exceeds 4.2%? Test the hypothesis at a 10% level of significance. Use Table 2.

Financial Institution	APR
G Squared Financial	4.125%
Best Possible Mortgage	4.250
Hersch Financial Group	4.250
Total Mortgages Services	4.375
Wells Fargo	4.375
Quicken Loans	4.500
Amerisave	4.750

SOURCE: MSN Money.com; data retrieved October 1, 2010.

Click here for the Excel Data File

Use the p-value approach.

a-1.

Select the null and the alternative hypotheses.

	H₀: µ ≥ 4.2; H_A: µ < 4.2
	H₀: μ = 4.2; H_A: μ ≠ 4.2
	H₀: µ ≤ 4.2; H_A: µ > 4.2

a-2.

Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.)

Test statistic

a-3.

Approximate the p-value.

	0.025 < p-value < 0.05
	0.1 < p-value < 0.2
	0.05 < p-value < 0.1

a-4.

What is the conclusion?

	Reject H₀ since the p-value is greater than α.
	Reject H₀ since the p-value is smaller than α.
	Do not reject H₀ since the p-value is greater than α.
	Do not reject H₀ since the p-value is smaller than α.

Use the critical value approach.

b-1.

Calculate the critical value. (Round your answer to 3 decimal places.)

Critical value

b-2.

Make a conclusion for the hypothesis test.

	The mean mortgage rate for the sample exceeds 4.2%.
	The mean mortgage rate for the sample does not exceed 4.2%.
	The mean mortgage rate for the population exceeds 4.2%.
	The mean mortgage rate for the population does not exceed 4.2%.

In order to conduct a hypothesis test of the population proportion, you sample 320 observations that result in 128 successes.

Use the p-value approach to conduct the following tests at α = 0.05. Use Table 1.

H₀: p ≥ 0.45; H_A: p < 0.45.

a-1.

Calculate the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.)

Test statistic

a-2.

Calculate the p-value. (Round “z” value to 2 decimal places and final answer to 4 decimal places.)

p-value

a-3.

What is the conclusion?

	Reject H₀ since the p-value is greater than α.
	Reject H₀ since the p-value is smaller than α.
	Do not reject H₀ since the p-value is greater than α.
	Do not reject H₀ since the p-value is smaller than α.

H₀: p = 0.45; H_A: p ≠ 0.45.

b-1.

Calculate the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.)

Test statistic

b-2.

Calculate the p-value. (Round “z” value to 2 decimal places and final answer to 4 decimal places.)

p-value

b-3.

What is the conclusion?

	Reject H₀ since the p-value is greater than α.
	Reject H₀ since the p-value is smaller than α.
	Do not reject H₀ since the p-value is greater than α.
	Do not reject H₀ since the p-value is smaller than α.

The margarita is one of the most common tequila-based cocktails, made with tequila mixed with triple sec and lime or lemon juice, often served with salt on the glass rim. A common ratio for a margarita is 2:1:1, which includes 50% tequila, 25% Triple Sec, and 25% fresh lime or lemon juice. A manager at a local bar is concerned that the bartender does not use the correct proportions in more than 50% of margaritas. He secretly observes the bartender and finds that he used the correct proportions in only 10 out of 30 margaritas. Use the critical value approach to test if the manager’s suspicion is justified at α = 0.05. Let prepresent incorrectly used proportions. Use Table 1.

Select the null and the alternative hypotheses.

	H₀: p ≤ 0.50; H_A: p > 0.50
	H₀: p = 0.50; H_A: p ≠ 0.50
	H₀: p ≥ 0.50; H_A: p < 0.50

b.	Calculate the sample proportion. (Round your answer to 3 decimal places.)

Sample proportion

c.	Calculate the value of test statistic. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

Test statistic

d.	Calculate the critical value. (Round your answer to 2 decimal places.)

Critical value

What is the conclusion?

	The manager’s suspicion is justified since the value of the test statistic falls in the rejection region.
	The manager’s suspicion is not justified since the value of the test statistic falls in the rejection region.
	The manager’s suspicion is justified since the value of the test statistic does not fall in the rejection region.
	The manager’s suspicion is not justified since the value of the test statistic does not fall in the rejection region.

A politician claims that he is supported by a clear majority of voters. In a recent survey, 24 out of 40 randomly selected voters indicated that they would vote for the politician. Use a 5% significance level for the test. Use Table 1.

Select the null and the alternative hypotheses.

	H₀: p = 0.50; H_A: p ≠ 0.50
	H₀: p ≤ 0.50; H_A: p > 0.50
	H₀: p ≥ 0.50; H_A: p < 0.50

b.	Calculate the sample proportion. (Round your answer to 2 decimal places.)

Sample proportion

c.	Calculate the value of test statistic. (Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.)

Test statistic

d.	Calculate the p-value of the test statistic. (Round intermediate calculations to 4 decimal places. Round “z” value to 2 decimal places and final answer to 4 decimal places.)

p-value

What is the conclusion?

	Reject H₀; the politician is supported by a clear majority
	Reject H₀; the politician is not supported by a clear majority
	Do not reject H₀; the politician is supported by a clear majority
	Do not reject H₀; the politician is not supported by a clear majority

A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life of just 5 hours. The manufacturer claims that while the new touch phone is more expensive, its battery life is more than twice as long as that of the leading product. In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours. Use Table 2.

Select the relevant null and the alternative hypotheses.

	H₀: μ ≥ 10; H_A: μ < 10
	H₀: μ = 10; H_A: μ ≠ 10
	H₀: μ ≤ 10; H_A: μ > 10

b.	Compute the value of the appropriate test statistic. (Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.)

Test statistic

c.	Calculate the critical value to test the phone manufacturer’s claim at α = 0.05. (Round your answer to 3 decimal places.)

Critical value

d-1.

Approximate the p-value.

	0.005 < p-value < 0.01
	0.025 < p-value < 0.05
	0.01 < p-value < 0.025

d-2.

What is the conclusion?

	Reject H₀; the battery life is more than 10 hours
	Reject H₀; the battery life is not more than 10 hours
	Do not reject H₀; the battery life is more than 10 hours
	Do not reject H₀; the battery life is not more than 10 hours

10.

A retailer is looking to evaluate its customer service. Management has determined that if the retailer wants to stay competitive, then it will have to have at least a 90% satisfaction rate among its customers. Management will take corrective actions if the satisfaction rate falls below 90%. A survey of 1,200 customers showed that 1,068 were satisfied with their customer service. Use Table 1.

Select the hypotheses to test if the retailer needs to improve its services.

	H₀: p ≥ 0.90; H_A: p < 0.90
	H₀: p ≤ 0.90; H_A: p > 0.90
	H₀: p = 0.90; H_A: p ≠ 0.90

b.	What is the value of the appropriate test statistic? (Negative value should be indicated by a minus sign. Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.)

Test statistic

c.	Compute the p-value. (Round “z” value to 2 decimal places and final answer to 4 decimal places.)

p-value

What is the conclusion?

	The management will take corrective action.
	The management will not take corrective action.

"96% of our customers have reported a 90% and above score. You might want to place an order with us."

Affordable prices

You might be focused on looking for a cheap essay writing service instead of searching for the perfect combination of quality and affordable rates. You need to be aware that a cheap essay does not mean a good essay, as qualified authors estimate their knowledge realistically. At the same time, it is all about balance. We are proud to offer rates among the best on the market and believe every student must have access to effective writing assistance for a cost that he or she finds affordable.

Caring support 24/7

If you need a cheap paper writing service, note that we combine affordable rates with excellent customer support. Our experienced support managers professionally resolve issues that might appear during your collaboration with our service. Apply to them with questions about orders, rates, payments, and more. Contact our managers via our website or email.

Non-plagiarized papers

“Please, write my paper, making it 100% unique.” We understand how vital it is for students to be sure their paper is original and written from scratch. To us, the reputation of a reliable service that offers non-plagiarized texts is vital. We stop collaborating with authors who get caught in plagiarism to avoid confusion. Besides, our customers’ satisfaction rate says it all.

Home

About Us

Professional Writing Services

Contact Custom Essay Writers

Order Custom Essay