For each scenario write the letter for what kind of hypothesis test or confidence interval is...

For each scenario write the letter for what kind of hypothesis test or confidence interval is described. A. One sample z-test for a mean B. One sample t-test for a mean C. Matched pairs difference in means D. Two sample t-test for means independent E. One sample z-test for a proportion F. Two sample z-test for p1-p2 G. None of the above i. _______ An anthropology major believes the distribution of homes per city from the Anasazi Indians is normally distributed with a standard deviation of 12 homes. A random sample of 10 Anasazi cities shows an average of 46 homes. He wants an 85% confidence interval for the true overall average.

Expert Solution

For each scenario write the letter for what kind of hypothesis test or confidence interval is described.

A. One sample z-test for a mean

B. One sample t-test for a mean

C. Matched pairs difference in means

D. Two sample t-test for means independent

E. One sample z-test for a proportion

F. Two sample z-test for p1-p2

G. None of the above i.

Option A. An anthropology major believes the distribution of homes per city from the Anasazi Indians is normally distributed with a standard deviation of 12 homes. A random sample of 10 Anasazi cities shows an average of 46 homes. He wants an 85% confidence interval for the true overall average.

Note: Option A is correct. Since population standard deviation is known, Z distribution is used to find confidence interval for the true overall average

Confidence Interval Estimate for the Mean

Data
Population Standard Deviation	12
Sample Mean	46
Sample Size	10
Confidence Level	85%

Intermediate Calculations
Standard Error of the Mean	3.7947
Z Value	-1.4395
Interval Half Width	5.4626

Confidence Interval
Interval Lower Limit	40.5374
Interval Upper Limit	51.4626

milcah answered 3 weeks ago

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