In: Statistics and Probability
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?
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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)
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