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An IQ test is developed such that the mean quotient is 100 and standard deviation is 12. It is given to a random sample of 50 children in one area. The average mark was 105. Does this provide evidence, at the 5% level, that children from this area are generally more intelligent? a) State the null and alternative hypothesis b) Is this a one or two tailed test? c) Compute the value of the test statistic d) Determine the critical value(s) using the z-table. e) What is your decision regarding Ho? Give your reason. f) Comment on the result of your hypothesis testing.

An IQ test is developed such that the mean quotient is 100 and standard deviation is 12. It is given to a random sample of 50 children in one area. The average mark was 105. Does this provide evidence, at the 5% level, that children from this area are generally more intelligent? a) State the null and alternative hypothesis b) Is this a one or two tailed test? c) Compute the value of the test statistic d) Determine the critical value(s) using the z-table. e) What is your decision regarding Ho? Give your reason. f) Comment on the result of your hypothesis testing.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An IQ test is developed such that the mean quotient is 100 and standard deviation is 12. It is given to a random sample of 50 children in one area. The average mark was 105. Does this provide evidence, at the 5% level, that children from this area are generally more intelligent? a) State the null and alternative hypothesis b) Is this a one or two tailed test? c) Compute the value of the test statistic d) Determine the critical value(s) using the z-table. e) What is your decision regarding Ho? Give your reason. f) Comment on the result of your hypothesis testing.
Transcribed Image Text:An IQ test is developed such that the mean quotient is 100 and standard deviation is 12. It is given to a random sample of 50 children in one area. The average mark was 105. Does this provide evidence, at the 5% level, that children from this area are generally more intelligent? a) State the null and alternative hypothesis b) Is this a one or two tailed test? c) Compute the value of the test statistic d) Determine the critical value(s) using the z-table. e) What is your decision regarding Ho? Give your reason. f) Comment on the result of your hypothesis testing.
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