2 pts) Ten randomly selected people took an IQ test A, and next day they took a

Question

2 pts) Ten randomly selected people took an IQ test A, and next day they took a very similar IQ test B. Their scores are shown in the table below. Person 1 2 3 4 5 67 89 10 Test A 114 109 1229691 7297 104 10883 Test B 115 112 12399897498 107 10782 1. Consider (Test A - Test B). Use a 0.01 significance level to test the claim that people do better on the second test than they do on the first. (Note: You may wish to use a software program, such as Excel, to compute the differences, sample mean difference, and sample standard deviation of differences.) (a) What test method should be used? O A. Two independent samples t O B. Two independent samples z C. Paired data t (b) The test statistic is (C) The critical value is (d) Is there sufficient evidence to support the claim that people do better on the second test? O A. No O B. Yes 2. Construct a 9g% confidence interval for the mean of the differences. Again, use (Test A-Test B)

Explanation / Answer

SolutionA:

Its not independent samples t .because subjects in the first group are also in the second group

Cannot be ztest beacuse sample sizes are not greaterthan 30

Its paired data.

OPTION C paired data ,t

t because sample size <30.

Output form Excel:

Solutionb:

t=1.732051

Solutionc:

p=

Solution:

p>0.01

Fail to reject Null hypothesis

Accept Null hypothesis,

NO sufficient evidence to support claim

ANSWER :NO

t-Test: Paired Two Sample for Means testB testA Mean 100.6 99.6 Variance 235.3778 224.2667 Observations 10 10 Pearson Correlation 0.993038 Hypothesized Mean Difference 0 df 9 t Stat 1.732051 P(T<=t) one-tail 0.058653 t Critical one-tail 2.821438 P(T<=t) two-tail 0.117307 t Critical two-tail 3.249836

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