Question

Fill in the blanks and provide the z or t multiplier for each Confidence Interval (CI) and/or sample size calculation associated with each scenario. Use the exact table value

a 96% CI for the mean BMI of College seniors ts using a sample size of 100
a 97% CI for the proportion of cancer survivors with a 5 year survival time using 60 patients
the minimal sample size(s) required to compute a 90% confidence interval for the difference in proportions of male and female smokers.
a 95% CI for the mean birth weight of male infanta using a sample of 20 babies
a 99% CI for the difference in mean GPAs between male and female students with samples of size 15from each group

Answer 1

when sample size greater than or equal to 30 then we'll use z test.

and when sample size less than 30 we use t-test.

(a) z- multiplier, since sample size > 30

(b) z- multiplier, since sample size > 30

(c) z -multiplier, for proportion we use z-test

(d) t -multiplier, since sample size < 30.

(e) t - multiplier, since sample size for both the sample is less than 30.