A random sample of 30 males between ages 25 – 40 is taken for a health and fitness study. Following are their wieghts in kilograms: 75, 72, 83, 76, 65, 88, 67, 76, 78, 89, 86, 74, 78, 89, 88, 78, 77, 83, 84, 69, 72, 74, 78, 75, 61, 86, 85, 84, 81, 79 It was also asked of them if they exercise daily, and only 13 of them answered yes. Based on the above sample data: (a) What can you conclude about the average weight of males aged 25 – 40 years at 90% confidence level? (b) What is the interval for average weight of this population if you want to make a claim at 98% confidence level? (c) What is the proportion of this population that exercises daily? Give a 95% confidence interval.
A random sample of 30 males between ages 25 – 40 is taken for a health and fitness study. Following are their wieghts in kilograms: 75, 72, 83, 76, 65, 88, 67, 76, 78, 89, 86, 74, 78, 89, 88, 78, 77, 83, 84, 69, 72, 74, 78, 75, 61, 86, 85, 84, 81, 79 It was also asked of them if they exercise daily, and only 13 of them answered yes. Based on the above sample data: (a) What can you conclude about the average weight of males aged 25 – 40 years at 90% confidence level? (b) What is the interval for average weight of this population if you want to make a claim at 98% confidence level? (c) What is the proportion of this population that exercises daily? Give a 95% confidence interval.
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Please solve parts (a), (b), (c).
![A random sample of 30 males between ages 25 – 40 is taken for a health and fitness study.
Following are their wieghts in kilograms:
75, 72, 83, 76, 65, 88, 67, 76, 78, 89,
86, 74, 78, 89, 88, 78, 77, 83, 84, 69,
72, 74, 78, 75, 61, 86, 85, 84, 81, 79
It was also asked of them if they exercise daily, and only 13 of them answered yes.
Based on the above sample data:
(a) What can you conclude about the average weight of males aged 25 – 40 years at 90%
confidence level?
(b) What is the interval for average weight of this population if you want to make a claim
at 98% confidence level?
(c) What is the proportion of this population that exercises daily? Give a 95% confidence
interval.
(d) Now the tricky part: Suppose it is known that the average weight of this population
is exactly 80 kg. Based on the above sample, what would be the proportion of this
population that has a weight higher than 86 kg with a confidence level of 95%. Give
a confidence interval for this proportion at this confidence level. ( Hint: Find out the
confidence interval for the population standard deviation first).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6e5235d-cc56-4f68-840e-f71794a0997d%2Fc23c7090-c7a4-46db-8c16-9d6baaa1d9ac%2F3u78g6o_processed.png&w=3840&q=75)
Transcribed Image Text:A random sample of 30 males between ages 25 – 40 is taken for a health and fitness study.
Following are their wieghts in kilograms:
75, 72, 83, 76, 65, 88, 67, 76, 78, 89,
86, 74, 78, 89, 88, 78, 77, 83, 84, 69,
72, 74, 78, 75, 61, 86, 85, 84, 81, 79
It was also asked of them if they exercise daily, and only 13 of them answered yes.
Based on the above sample data:
(a) What can you conclude about the average weight of males aged 25 – 40 years at 90%
confidence level?
(b) What is the interval for average weight of this population if you want to make a claim
at 98% confidence level?
(c) What is the proportion of this population that exercises daily? Give a 95% confidence
interval.
(d) Now the tricky part: Suppose it is known that the average weight of this population
is exactly 80 kg. Based on the above sample, what would be the proportion of this
population that has a weight higher than 86 kg with a confidence level of 95%. Give
a confidence interval for this proportion at this confidence level. ( Hint: Find out the
confidence interval for the population standard deviation first).
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