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In: Statistics and Probability

QUESTION 1: Researchers claim that women speak significantly more words per day than men. One estimate...

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:

28401 10093 15933 21682 37778
10573 12881 11063 17791 13180
8910 6495 8145 7018 4430
10050 4000 12646 10971 5247

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 9000?

No

Yes

QUESTION 2:

Cola makers test new recipes for loss of sweetness during storage. Trained tasters rate the sweetness before and after storage. Here are the sweetness losses ( sweetness before storage minus sweetness after storage) found by 10 tasters for one new cola recipe:

1.8 0.4 0.6 2 -0.6
2.4 -1.2 1.1 1.2 2.2

Take the data from these 10 carefully trained tasters as an SRS from a large population of all trained tasters.

Is there evidence at the 5% level that the cola lost sweetness? If the cola has not lost sweetness, the ratings after should be the same as before it was stored.

The test statisic is t =  (±±0.001)

Yes
No

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