A college professor claims that the entering class this year appears to be smarter than entering classes from previous years. He tests a random sample of 16 of this year's entering students and finds that their mean IQ score is 116, with a standard deviation of 15. The college records indicate that the mean IQ score for entering students from previous years is 112. If we assume that the IQ scores of this year's entering class are normally distributed, is there enough evidence to conclude, at the 0.05 level of significance, that the mean IQ score, μ, of this year's class is greater than that of previous years? Perform a one-tailed test and answer questions. Carry your intermediate computations to at least three decimal places and round your answers. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one) Z t Chi square F The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.05 level of significance: (Round to at least three decimal places.) Can we conclude, using the 0.05 level of significance, that the mean IQ score of this year's class is greater than that of previous years? Yes No

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Description: A college professor claims that the entering class this year appears to be smarter than entering classes from previous years. He tests a random sample of 16 of this year's entering students and finds that their mean IQ score is 116, with a standard d

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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A college professor claims that the entering class this year appears to be smarter than entering classes from previous years. He tests a random sample of 16 of this year's entering students and finds that their mean IQ score is 116, with a standard deviation of 15. The college records indicate that the mean IQ score for entering students from previous years is 112. If we assume that the IQ scores of this year's entering class are normally distributed, is there enough evidence to conclude, at the 0.05 level of significance, that the mean IQ score, μ, of this year's class is greater than that of previous years?

Perform a one-tailed test and answer questions.

Carry your intermediate computations to at least three decimal places and round your answers.


The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one) Z t Chi square F

The value of the test statistic: (Round to at least three decimal places.)
The critical value at the 0.05 level of significance: (Round to at least three decimal places.)
Can we conclude, using the 0.05 level of significance, that the mean IQ score of this year's class is greater than that of previous years?	Yes	No

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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