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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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I need help with a stat problem, section 7.2 and 7.3, thank you (please help with TI-84 commands)

You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than

students. You want to test this claim. You randomly select

classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At

α=0.10,

can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.

38 29 29 31 30 41 25 23 30 27 31 33 36 31 29 32 27 23

(a) write the claim mathematically and identify Ho and Ha.

(b) use technology to find the P-value.

P= _____________(round to 3 decimal places)

Which of the following is correct?

A. reject Ho because the P value is less than the significance level.

B. reject Ho because the P value is greater than the significance level.

C. fail to reject Ho because the P value is greater than the significance level.

C. faile to reject Ho because the P value is less than the significance level.

(d) Interpret the decision in the context of the orginal claim.

A. At the 10% level of significance, there is sufficient evidence to support the claim that the mean class size for full time faculty is more than 32 students.

B. At the 10% level of significance, there is not sufficient evidence to support the claim that the mean class size for full time faculty is more than 32 students.

C. AT the 10% level of significance, there is sufficient evidence to support the claim that the mean class size for full time faculty is fewer than 32 students.

D. AT the 10% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 32 students.

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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