In a population, the average IQ is assumed to be 120. To test this assumption a sample of 16 people is selected from this population. The average IQ of this sample is found to be 105 with a standard deviation of 20. Assuming that the IQ scores of the population are normally distributed, we want to test the claim (alternative hypothesis) that population mean is greater than 120. Find the t-value for this sample. You are not asked to do a hypothesis test in this problem. For this reason, level of significance is not given. You only need to find the t-value for the hypothesis test. In your answer, only 1 digit after the decimal will be enough. For example, your answer could be a number like -0.7 or 12.8. (So, the answer might be negative.)

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In a population, the average IQ is assumed to be 120.
To test this assumption a sample of 16 people is selected from this population.
The average IQ of this sample is found to be 105 with a standard deviation of 20.
Assuming that the IQ scores of the population are normally distributed, we want to test
the claim (alternative hypothesis) that population mean is greater than 120.
Find the t-value for this sample.
You are not asked to do a hypothesis test in this problem. For this reason, level of significance
is not given. You only need to find the t-value for the hypothesis test.
In your answer, only 1 digit after the decimal will be enough. For example, your answer could
be a number like -0.7 or 12.8. (So, the answer might be negative.)
Transcribed Image Text:In a population, the average IQ is assumed to be 120. To test this assumption a sample of 16 people is selected from this population. The average IQ of this sample is found to be 105 with a standard deviation of 20. Assuming that the IQ scores of the population are normally distributed, we want to test the claim (alternative hypothesis) that population mean is greater than 120. Find the t-value for this sample. You are not asked to do a hypothesis test in this problem. For this reason, level of significance is not given. You only need to find the t-value for the hypothesis test. In your answer, only 1 digit after the decimal will be enough. For example, your answer could be a number like -0.7 or 12.8. (So, the answer might be negative.)
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