# STATISTICS HOMEWORK

Subject: Mathematics / Statistics

1 Scores on the SAT are normally distributed with a mean of 1,500 and a standard deviation of

300.

a. What percent of scores are greater than 1750?

b. What percent of scores are less than 1150?

c. What percent of scores are between 1400 and 1800?

d. What score would put an applicant in the top 10 percent?

e. What score would put an applicant in the bottom 25 percent? 2 In organizational behaviour research, MBA students are often surveyed to make claims about

the behaviour of organizational managers.

a What is the population and what is the sample? b What type of sampling is this? Why? c Is this a desirable sample to make conclusions about the intended population? 3 What’s the relationship between samples, populations and sampling distributions?

4 Estimate the population standard error from this sample: 5, 2, 7, 3, 4, 8, 2, 3

5 Estimate the population standard error from these sample means: 6, 5, 2, 4, 1, 6, 5, 2, 7, 8, 9 6 According to a random sample of 100 taxpayers, the mean time to prepare, copy and

electronically file the 1040 form is 330 minutes with a standard deviation of 80 minutes.

(a) Construct a 95 percent confidence interval for the mean time of 330 minutes. Interpret your

answer.

(b) What is the percent margin of error for the 95 % confidence interval?

(c) Show that the percent margin of error is greater for a 99 % confidence interval. 7 In each of the following situations, is the test significant?

a a=.01;p=.06

b a=.05;p=.15

c a=.10;p=.05

Draw appropriate conclusions for each of the following situations:

Does our branch office order fewer office supplies than other branches?

a = .01; p = .04

Is customer satisfaction at our store different from our chain’s national standards?

a = .10; p = .09

Is there a difference in employee performance between our two locations?

a = .05; p = .04

State the alternative hypothesis for the given null:

a H0:??5

b H0:?=2

c H0:??12 11 State the null hypothesis for the given alternative:

a H1:?<5

b H1:?>35

c H1:?=?200

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