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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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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