An examination in biology has been taken by biology majors and also by some students from other majors. It is widely believed that the scores for both groups are normally distributed. A random sample of 29 examinations completed by biology majors and an independent random sample of 18 examinations completed by students from other majors are selected. Among sampled students, the biology majors scored a mean of 532.6 points with a variance of 10899.36 , and the students from other majors scored a mean of 496.9 points with a variance of 19909.21 . Can we conclude, at the 0.05 significance level, that the population variance of scores of biology majors, σ21 , is less than σ22 , the population variance of scores of other majors? 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 p-value: (Round to at least three decimal places.) Can we conclude that the variance of all scores of biology majors is less than the variance of all scores of other majors? Yes No

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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An examination in biology has been taken by biology majors and also by some students from other majors. It is widely believed that the scores for both groups are normally distributed. A random sample of

examinations completed by biology majors and an independent random sample of

examinations completed by students from other majors are selected. Among sampled students, the biology majors scored a mean of

532.6

points with a variance of

10899.36

, and the students from other majors scored a mean of

496.9

points with a variance of

19909.21

. Can we conclude, at the

0.05

significance level, that the population variance of scores of biology majors,

σ21

, is less than

σ22

, the population variance of scores of other majors?

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 p-value: (Round to at least three decimal places.)
Can we conclude that the variance of all scores of biology majors is less than the variance of all scores of other majors?	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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