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Use the information below for the next set of questions. In the following study, a single...

Use the information below for the next set of questions.

In the following study, a single sample's mean is being compared to a population with a known mean but an unknown variance. Decide whether the result is significant.

Sample size (N)=16

Population mean (μ)= 100.31

Estimated Population Standard Deviation (S)= 2.00

Sample Mean (M)=100.98

Tails= 1 (high predicted)

Significance level (α)=.05

1. What is the null hypothesis for this​ test?

A. The mean for the first population (the population from which the sample is​ taken) is the same​ as, or greater​ than, the mean for the second (known) population​.

B. The mean for the first population (the population from which the sample is​ taken) is different than the mean for the second (known) population​

C. The mean for the first population (the population from which the sample is​ taken) is the same​ as, or less​ than, the mean for the second (known) population.​

D. The mean for the first population (the population from which the sample is​ taken) is the same as the mean for the second (known) population.​

2. What is the research hypothesis for this​ test?

A. The mean for the first population (the population from which the sample is​ taken) is greater than the mean for the second (known) population​.

B. The mean for the first population (the population from which the sample is​ taken) is different than the mean for the second (known) population​.

C. The mean for the first population (the population from which the sample is​ taken) is the same​ as, or greater​ than, the mean for the second (known) population​.

D. The mean for the first population (the population from which the sample is​ taken) is less than the mean for the second (known) population​.

3. Determine the cutoff sample​ score(s).

The cutoff sample​ score(s) is(are) ______.

4. Determine the t score.

(write you answer to two decimal places).

t = _____.

5. Decide whether the result is significant. Choose the correct answer below.

A. The result is not significant because the t score is more extreme than the cutoff sample score.

B. The result is significant because the t score is less extreme than the cutoff sample score.

C. The result is significant because the t score is more extreme than the cutoff sample score.

D. The result is not significant because the t score is less extreme than the cutoff sample score.
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