Question

In: Statistics and Probability

1 A researcher wanted to know whether losing one night sleep can affect problem solving. A...

A researcher wanted to know whether losing one night sleep can affect problem solving. A sample of n = 25 college students was given a problem-solving task at noon on one day and again at noon on the following day. The students were not permitted any sleep between the two tests. For each student, the difference between the first and the second score was recorded: M_D = 5 and standard deviation of the difference score was s = 10.

Do the data indicate a significant change in problem solving ability? Use a two-tailed test with α = .01.

The alternative hypothesis in words is

Group of answer choices

a.Problem solving ability improves after losing on night sleep

b. Problem solving ability is reduced after losing one night of sleep

c. There is no significant difference in problem solving ability between the two conditions: before and after losing one night of sleep

d. There is a significant difference in problem solving ability between the two conditions: before and after losing one night of sleep

1a)

The null hypothesis in symbols is

Group of answer choices

a.H0: µ1≠ µ2

b. H0: µ1> µ2

c. H0: µD= 0

d. H0: µD≠ 0

e. H0: µD> 0

f. H0: MD = 4.7

g. H0: MD ≠ 4.7

h. H0: µD≤ 0

1b) The critical t-values are

Group of answer choices

a. ±2.064

b. ±2.797

c. ±1.711

d. ±2.492

1c)The t-statistic is

1d)

Your decision is

Group of answer choices

a. Reject the null hypothesis and conclude that there is a significant difference in problem solving ability between the two conditions: before and after losing one night of sleep

b. Reject the null hypothesis and conclude that there is no significant difference in problem solving ability between the two conditions: before and after losing one night of sleep

c. Fail to reject the null hypothesis and conclude that there is no significant difference in problem solving ability between the two conditions: before and after losing one night of sleep

d. Fail to reject the null hypothesis and conclude that there is a significant difference in problem solving ability between the two conditions: before and after losing one night of sleep

1e)

Compute r² to measure the size of the treatment effect.

r² is

1f)

Report the results in APA. Include r² as a measure of the effect size.

Solutions

Expert Solution

Hope this will help you . Thank you.

orchestra answered 1 year ago

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