The census data states that one city has 52% women, 48% men with an average weight...
The census data states that one city has 52% women, 48% men with an average weight of 150 lbs, with an SD of 10. If possible, test all hypotheses at the 5% significance level.
a) You wish to test if the percent of women is correct, against the alternate that there is a lower percentage of women. You take a simple random sample of 10 people and find that 50% are women.
b) You wish to test if the weight is correct, against the alternate that the average is actually larger. You take a simple random sample of 10 people, which has an average weight of 160 lbs, with an SD of 15. You may assume weights follow normal curves.
c) You want to know if a district in the city has a larger average weight. You take a simple random sample of 10 people from the district, which has an average 155 with an SD of 15. (Note this problem has the same numbers as part b). What is different?)
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The census data states that one city has 52% women, 48% men with
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Ethnic
Origin
Census
Percent
Sample
Result
Black
10%
128
Asian
3%
45
Anglo
38%
478
Latino/Latina
41%
492
Native American
6%
60
All others
2%
12
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was questioned by some government officials. A random sample of
1215 people living in the city was used to check the report, and
the results are shown below.
Ethnic
Origin
Census
Percent
Sample
Result
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10%
128
Asian
3%
45
Anglo
38%
478
Latino/Latina
41%
492
Native American
6%
60
All others
2%
12
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