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given: n = 16 observed sample mean x¯ = 8.9 observed sample variance s2 = 25 μ0 = 10.5 part a) find the observed test statistic for testing H0: μ=μ0 versus H1: μ≠μ0  part b) the p-value and significance at the 5% level part c) the confidence interval at 95%

given: n = 16 observed sample mean x¯ = 8.9 observed sample variance s2 = 25 μ0 = 10.5 part a) find the observed test statistic for testing H0: μ=μ0 versus H1: μ≠μ0  part b) the p-value and significance at the 5% level part c) the confidence interval at 95%

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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given:
n = 16
observed sample mean x¯ = 8.9
observed sample variance s2 = 25
μ0 = 10.5

part a) find the observed test statistic for testing H0: μ=μ0 versus H1: μ≠μ0 

part b) the p-value and significance at the 5% level

part c) the confidence interval at 95%

Suppose we next want to compute a 95% confidence interval for u. What is the lower endpoint of this 95% confidence interval? Give answer to three decimal places. Answer: Answer saved What is the upper endpoint of this 95% confidence interval? Give answer to three decimal places. Answer:
Transcribed Image Text:Suppose we next want to compute a 95% confidence interval for u. What is the lower endpoint of this 95% confidence interval? Give answer to three decimal places. Answer: Answer saved What is the upper endpoint of this 95% confidence interval? Give answer to three decimal places. Answer:
Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. We would like to test Ho : µ = µo versus H1 : µ + µo. What test statistic should you should use to test Ho versus H, ? Select one: X-Ho O a. T= n tn-1 O b. W = (n-1)s? O c. Z = ΤΗ N 0, 1) 2. Clear my choice
Transcribed Image Text:Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. We would like to test Ho : µ = µo versus H1 : µ + µo. What test statistic should you should use to test Ho versus H, ? Select one: X-Ho O a. T= n tn-1 O b. W = (n-1)s? O c. Z = ΤΗ N 0, 1) 2. Clear my choice
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