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 21 of this year's entering students and finds that their mean IQ score is 119 , with standard deviation of 10 . The college records indicate that the mean IQ score for entering students from previous years is 114 . 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. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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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

of this year's entering students and finds that their mean IQ score is

119

, with standard deviation of

. The college records indicate that the mean IQ score for entering students from previous years is

114

. 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,

, of this year's class is greater than that of previous years?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF

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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