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Name: A college professor claims that the entering class this year appears t
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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 random sample of 19 of this years entering students and finds their mean IQ score is 116, with a standard deviation

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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A college professor claims that the entering class this year appears to be smarter than entering classes from previous years. He tests random sample of 19 of this years entering students and finds their mean IQ score is 116, with a standard deviation of 10. The college records indicate that the mean IG score for entering students from previous years is 110. If we assume that the IQ scores of this years 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 years class is greater than that of the previous years? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.

(a) State the null hypothesis H, and the alternative hypothesis H,.
1'
Ho
H 0
:
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the critical value. (Round to three or more decimal places.)
(e) 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?
O Yes O 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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