In: Statistics and Probability
1.The cholesterol levels of a random sample of 100 men are measured. The sample mean is 188 and the sample standard deviation is 40. Which of the following provides a 95% confidence interval for the population mean?
A.188 ± (1.96)(40) |
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B.188 ± (1.96)(4) |
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C.188 ± (1.96)(400) |
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D.188 ± (1.96)(0.4) |
2.The cholesterol levels of a random sample of 100 men are measured. The sample mean is 188 and the sample standard deviation is 40. Which of the following provides a 99% confidence interval for the population mean?
A.188 ± (2.58)(0.4) |
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B.188 ± (2.58)(40) |
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C.188 ± (2.58)(4) |
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D.188 ± (2.58)(400) |
3.The cholesterol levels of a random sample of 100 men are measured. The sample mean is 188 and the sample standard deviation is 40. Which of the following provides a 90% confidence interval for the population mean?
Question 3 options:
A.188 ± (1.64)(40) |
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B.188 ± (1.64)(400) |
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C.188 ± (1.64)(4) |
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D.188 ± (1.64)(0.4) |
4.)If a significance test gives a P-value of 0.004, |
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Solution:
1. The cholesterol levels of a random sample of 100 men are measured. The sample mean is 188 and the sample standard deviation is 40. Which of the following provides a 95% confidence interval for the population mean?
Answer: B.188 ± (1.96)(4)
Explanation:
2.The cholesterol levels of a random sample of 100 men are measured. The sample mean is 188 and the sample standard deviation is 40. Which of the following provides a 99% confidence interval for the population mean?
Answer: C.188 ± (2.58)(4)
Explanation:
3.The cholesterol levels of a random sample of 100 men are measured. The sample mean is 188 and the sample standard deviation is 40. Which of the following provides a 90% confidence interval for the population mean?
Answer: C.188 ± (1.64)(4)
Explanation:
4.)If a significance test gives a P-value of 0.004,
Answer: B.we do have good evidence against the null hypothesis.
5.)If a significance test gives P-value 0.65,
Answer: C.we do not have good evidence against the null hypothesis.