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A principal at a certain school claims that the students in his school are above average intelligence. A random sample of thirty students IQ scores have a mean score of 112.5. Is there sufficient evidence to support the principal's claim? The mean population IQ is 100 with a standard deviation of 15.

A principal at a certain school claims that the students in his school are above average intelligence. A random sample of thirty students IQ scores have a mean score of 112.5. Is there sufficient evidence to support the principal's claim? The mean population IQ is 100 with a standard deviation of 15.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Perform Hypothesis Testing A principal at a certain school claims that the students in his school are above average intelligence. A random sample of thirty students IQ scores have a mean score of 112.5. Is there sufficient evidence to support the principal's claim? The mean population IQ is 100 with a standard deviation of 15.
Transcribed Image Text:Perform Hypothesis Testing A principal at a certain school claims that the students in his school are above average intelligence. A random sample of thirty students IQ scores have a mean score of 112.5. Is there sufficient evidence to support the principal's claim? The mean population IQ is 100 with a standard deviation of 15.
1. Describe the population parameter of interest. 2. Formulate the hypotheses: Null hypothesis and Alternative hypothesis. That is, state a null hypothesis, Ho, in such a way that a Type I error can be calculated. Check the assumptions. Is the sample size large enough for the central limit theorem (CLT) to apply? Do small samples come from normally distributed populations? Are the samples randomly selected? 3. 4. Choose significant level for a ● Is the test two-tailed or one-tailed? Get the critical values from the test statistic table. Establish the critical regions 5. Select the appropriate test statistic Compute the test statistic 6. State the decision rule for rejecting or accepting the null hypothesis. 7. Compare the test statistic and the critical value. ● Based on the decision rule, decide whether to reject or accept Ho Interpret the result
Transcribed Image Text:1. Describe the population parameter of interest. 2. Formulate the hypotheses: Null hypothesis and Alternative hypothesis. That is, state a null hypothesis, Ho, in such a way that a Type I error can be calculated. Check the assumptions. Is the sample size large enough for the central limit theorem (CLT) to apply? Do small samples come from normally distributed populations? Are the samples randomly selected? 3. 4. Choose significant level for a ● Is the test two-tailed or one-tailed? Get the critical values from the test statistic table. Establish the critical regions 5. Select the appropriate test statistic Compute the test statistic 6. State the decision rule for rejecting or accepting the null hypothesis. 7. Compare the test statistic and the critical value. ● Based on the decision rule, decide whether to reject or accept Ho Interpret the result
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