Question

QUESTION 1:

Researchers claim that women speak significantly more words per day than men. One estimate is that a woman uses about 20,000 words per day while a man uses about 7,000. To investigate such claims, one study used a special device to record the conversations of male and female university students over a four- day period. From these recordings, the daily word count of the 20 men in the study was determined. Here are their daily word counts:

28416	10087	15925	21689	37788
10568	12876	11079	17806	13175
8911	6489	8144	7021	4437
10048	4001	12638	10976	5252

What value we should remove from observation for applying t procedures?

A 90% confidence interval (±±10) for the mean number of words per day of men at this university is from  to  words.

Is there evidence at the 10% level that the mean number of words per day of men at this university differs from 7000?

QUESTION 2:

You are testing H₀: µ = 100 against H_a: µ < 100 based on an SRS of 16 observations from a Normal population. The data give x¯¯¯x¯ = 9.5 and s = 5.9.

The value of the t statistic (±0.01) is  

Answer 1

1.

A 90% confidence interval (±±10) for the mean number of words per day of men at this university is = (9640, 16093)

Since confidence interval does not include 7000, so at 10% level of significance, we can conclude that the mean number of words per day of men at this university significantly differs from 7000.

2.