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researchers claim that women speak more words per day than men. One estimate is that a...

researchers claim that women speak more words per day than men. One estimate is that a woman uses about 15,500 words per day while a man uses about 11,500. To investigate such claims, one study used a special device to record the conversations of male and female university students over a 4-day period. Samples of 18 men were selected to provide evidence that the mean number of words per day of men at this university differs from 11,500. The sample statistics are x - bar = 13,575 and Sx = 4,090. What type of test statistic is this?

A. t* test statistic

B. z* test statistic

C. neither one

D. either one

Part b If t*, what is the degree of freedom?

A. it is a z* statistic

B. 18

C. 17

D. 19

Part c What are the null and alternative hypotheses?

A. H_o: μ = 13,575 vs. H_a: μ ≠ 13,575

B. H_o: μ = 11,500 vs. H_a: μ >11,500

C. H_o: μ = 15,500 vs. H_a: μ ≠ 11,500

D. H_o: μ = 11,500 vs. H_a: μ ≠ 11,500

Part d What is the test statistic for this study?

A. 2.10

B. 2.15

C. 2.19

D. 2.07

Part e Between what two p-values does this test statistic lie?

A. .10 and .05

B. .025 and .02

C. .05 and .025

D. .05 and .04

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

degree of freedom

......

.............

Standard Error , SE = s/√n =   4090.0000   / √    18   =   964.0222      
t-test statistic= (x̅ - µ )/SE = (   13575.000   -   11500   ) /    964.0222   =   2.15

option(B)

.............

p-Value   =   0.0460

THANKS

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