Answers Probability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Preparing to Test a Claim about a Mean

Preparing to Test a Claim about a Mean Answers

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What are the null and alternative hypotheses for this test?

H0: μ = 32 mpg Ha: μ < 32 mpg

H0: = 32 mpg Ha: > 32 mpg

H0: μ = 32 mpg Ha: μ > 32 mpg

H0: = 32 mpg Ha: < 32 mpg

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✔ rejectfail to reject

✔ reject

fail to reject

✔ havedo not have

✔ have

do not have

✔ less thangreater thanequal todifferent from

✔ less than

greater than

equal to

different from

166515

Check the three conditions for this t test for one mean.

Answers:

Random: A random sample of was selected.:10 cars of this make and model

10%: 10 < 10% of:all cars of this make and model

Normal/large sample: n = , but the distribution of the sample:10 is small

Normal/large sample: n = , but the distribution of the sample:shows no skewness or outliers

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✔ all cars of this make and model10 cars of this make and modelall car manufacturersmiles driven

✔ all cars of this make and model

10 cars of this make and model

all car manufacturers

miles driven

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✔ 10 is small10 is large32 is large32 is small

✔ 10 is small

10 is large

32 is large

32 is small

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✔ shows no skewness or outliersis normalis skewed to the rightis skewed to the left

✔ shows no skewness or outliers

is normal

is skewed to the right

is skewed to the left

166527

Check the three conditions:

Answers:

Name the test::t test for one mean

Random: A random sample of was selected.:medium beverages

10%: 30 < 10% of:all medium beverages

Normal/large sample::The sample size is at least 30.

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drink dispensers✔ medium beveragesinspectorsounces

drink dispensers

✔ medium beverages

inspectors

ounces

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drink dispensers✔ all medium beveragesinspectorsounces

drink dispensers

✔ all medium beverages

inspectors

ounces

166530

✔ The sample size is at least 30.The sample size is small.The population is normal.

✔ The sample size is at least 30.

The sample size is small.

The population is normal.

166531

The P-value of this test is approximately 0. What conclusion should be made? Use = 0.05.

Answers:

Because the P-value is = 0.05, we H0. We convincing evidence to conclude that the true mean amount dispensed when the medium button is pressed is 20 ounces.:less than

Because the P-value is = 0.05, we H0. We convincing evidence to conclude that the true mean amount dispensed when the medium button is pressed is 20 ounces.:reject

Because the P-value is = 0.05, we H0. We convincing evidence to conclude that the true mean amount dispensed when the medium button is pressed is 20 ounces.:have

Because the P-value is = 0.05, we H0. We convincing evidence to conclude that the true mean amount dispensed when the medium button is pressed is 20 ounces.:different from

166532

What is the value of the standardized test statistic and P-value? If needed, use the t-table to answer the question.

z = –2.98; 0.005 < P-value < 0.01

t = 2.98; 0.01 < P-value < 0.02

z = 2.98; 0.01 < P-value < 0.02

t = –2.98; 0.005 < P-value < 0. 01

166533

The P-value of this test is between 0.005 and 0.01. What conclusion should be made?

Answers:

Because the P-value is = 0.01, we H0. We convincing evidence to conclude that the true mean highway fuel economy for all cars of this particular make and model is 32 mpg.:less than

Because the P-value is = 0.01, we H0. We convincing evidence to conclude that the true mean highway fuel economy for all cars of this particular make and model is 32 mpg.:reject

Because the P-value is = 0.01, we H0. We convincing evidence to conclude that the true mean highway fuel economy for all cars of this particular make and model is 32 mpg.:have

Because the P-value is = 0.01, we H0. We convincing evidence to conclude that the true mean highway fuel economy for all cars of this particular make and model is 32 mpg.:less than

166534

What are the null and alternative hypotheses for this test?

Answers:

H0: μ:equals 20 ounces

Ha: μ:is different from 20 ounces

where μ = the true mean for all:amount of beverage dispensed

where μ = the true mean for all:20-ounce beverages

166535

What is the value of the standardized test statistic and P-value? If needed, use the t-table to answer the question. Check all that apply.

t = −10.95

t = −2.34

The P-value is approximately 0.

The P-value is between 0.0005 and 0.001.

The P-value is between 0.01 and 0.02.

df = 29

df = 30

166536

The P-value of this test is approximately 0. What conclusion should be made? Use = 0.05.

Answers:

Because the P-value is = 0.05, we H0. We convincing evidence to conclude that the true mean amount dispensed when the medium button is pressed is 20 ounces.:less than

Because the P-value is = 0.05, we H0. We convincing evidence to conclude that the true mean amount dispensed when the medium button is pressed is 20 ounces.:reject

Because the P-value is = 0.05, we H0. We convincing evidence to conclude that the true mean amount dispensed when the medium button is pressed is 20 ounces.:have

Because the P-value is = 0.05, we H0. We convincing evidence to conclude that the true mean amount dispensed when the medium button is pressed is 20 ounces.:different from

166537

equals 20 ounces✔ is different from 20 ouncesequals 18.5 ouncesis different from 18.5 ounces

equals 20 ounces

✔ is different from 20 ounces

equals 18.5 ounces

is different from 18.5 ounces

166538

✔ rejectfail to reject

✔ reject

fail to reject

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