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(a) Find the p-value. (Round to three or more decimal places.) (b) Can we conclude that the mean IQ score of this year's class is greater than that of previous years? OYes O No

(a) Find the p-value. (Round to three or more decimal places.) (b) Can we conclude that the mean IQ score of this year's class is greater than that of previous years? OYes O No

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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Nm 13

**Statistical Analysis of IQ Scores in Entering Classes** In a bid to recruit top students, a college administrator has made a claim asserting that the mean IQ score of this year’s entering class surpasses that of previous years. This hypothesis was tested by examining a random sample of 17 students from the current entering class. The sample yielded a mean IQ score of 116, with a standard deviation of 12. Historical records indicate that the mean IQ score for previous entering classes was 110. ### Objective Determine whether, at the 0.10 level of significance, there is enough evidence to conclude that the population mean IQ score of this year’s class is indeed higher than that of previous years. Assume the IQ scores are approximately normally distributed. **Instructions:** 1. **Carry out a one-tailed test.** 2. **Ensure all intermediate calculations are accurate to three or more decimal places.** 3. Refer to statistical formulas if necessary. ### Tasks: - **(a)** Calculate the p-value. (Round the result to three or more decimal places.) - **Answer:** [ ] - **(b)** Conclusion: Can we confidently state that the mean IQ score of this year's class is greater than that of previous years? - **Options:** - Yes - No ### Additional Information: A chart is provided to assist with statistical symbols: - \( \mu \): Population mean - \( \sigma \): Population standard deviation - \( x \): Sample mean - \( S \): Sample standard deviation - \( n \): Sample size - \( p \): P-value Feel free to consult a list of formulas to aid in your calculations and understanding of this statistical analysis.
Transcribed Image Text:**Statistical Analysis of IQ Scores in Entering Classes** In a bid to recruit top students, a college administrator has made a claim asserting that the mean IQ score of this year’s entering class surpasses that of previous years. This hypothesis was tested by examining a random sample of 17 students from the current entering class. The sample yielded a mean IQ score of 116, with a standard deviation of 12. Historical records indicate that the mean IQ score for previous entering classes was 110. ### Objective Determine whether, at the 0.10 level of significance, there is enough evidence to conclude that the population mean IQ score of this year’s class is indeed higher than that of previous years. Assume the IQ scores are approximately normally distributed. **Instructions:** 1. **Carry out a one-tailed test.** 2. **Ensure all intermediate calculations are accurate to three or more decimal places.** 3. Refer to statistical formulas if necessary. ### Tasks: - **(a)** Calculate the p-value. (Round the result to three or more decimal places.) - **Answer:** [ ] - **(b)** Conclusion: Can we confidently state that the mean IQ score of this year's class is greater than that of previous years? - **Options:** - Yes - No ### Additional Information: A chart is provided to assist with statistical symbols: - \( \mu \): Population mean - \( \sigma \): Population standard deviation - \( x \): Sample mean - \( S \): Sample standard deviation - \( n \): Sample size - \( p \): P-value Feel free to consult a list of formulas to aid in your calculations and understanding of this statistical analysis.
Expert Solution
Step 1

a) The test hypotheses are:

Null hypothesis:

H0: μ = 110.

Alternative hypothesis:

H1: μ > 110.

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