A researcher measures human calcitonin (HCT) levels in men with rheumatoid arthritis. The researcher randomly selects 26 men with rheumatoid arthritis and measures the sample mean HCT level of 33.8 pg/mL and a sample standard deviation of 10.4 pg/mL. Assume that HCT for individuals with rheumatoid arthritis follows a normal distribution. Construct a 92% confidence interval for the mean HCT level in men with rheumatoid arthritis. Be sure to: ˆ State the value for α. ˆ State whether you should use z or t and find the appropriate value. ˆ State the parameter your confidence interval is for. ˆ Find the confidence interval (to 2 decimals). ˆ Write a verbal interpretation of your confidence interval. (For example: We are xx% confident...)

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A researcher measures human calcitonin (HCT) levels in men with rheumatoid arthritis. The researcher randomly selects 26 men with rheumatoid arthritis and measures the sample
mean HCT level of 33.8 pg/mL and a sample standard deviation of 10.4 pg/mL. Assume that
HCT for individuals with rheumatoid arthritis follows a normal distribution. Construct a 92%
confidence interval for the mean HCT level in men with rheumatoid arthritis. Be sure to:
ˆ State the value for α.
ˆ State whether you should use z or t and find the appropriate value.
ˆ State the parameter your confidence interval is for.
ˆ Find the confidence interval (to 2 decimals).
ˆ Write a verbal interpretation of your confidence interval. (For example: We are xx%
confident...)

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