Question

11a. Given the test statistic was (t = -1.24) and the alternative hypothesis was u < -1.22 and n was 36 what would the range of P-Values be? (3 points).

11b. Given the test statistic was (z = 2.30) and the alternative hypothesis was p > 0.47, determine the P-Value. (3 points)

12. A poll of 2,108 randomly chosen adults showed 93% of them own cell phones. The claim was 91% of all adults own a cell phone.

a. Based on the results above, state your decision and show how you arrived at it. (4 points)

b. State your conclusion. (3 points)

c. Write a confidence statement that correctly interprets the confidence interval. (3 points)

d. In terms of your data, discuss the type of error you could have made and why. (Type I or Type II) 3 points

13.  Assume that females have pulse rates that are normally distribute with a mean of 70 beats per minute and a standard deviation of 15 beats per minute.

a. Find the probability that if one adult is randomly selected her pulse rate will be more than 74 beats per minute. (4 points) Please show me all your work.

b. Find the probability if 25adults are randomly selected the mean pulse rate will be less than 68 beats per minute. (4 points)

c. Determine the pulse rate for a female at the 55^thpercentile. (4 points)

Answer 1

11a. Given : t-stat=-1.24 , n=36

The alternative hypothesis is ,

Now , df=degrees of freedom=n-1=36-1=35

Therefore , the p-value is given by ,

p-value= ; The Excel function is , =TDIST(1.24,35,1)

Therefore , the range of the p-value is ,

0.10<p-value<0.20

11b. Given : z-stat = 2.30) and the alternative hypothesis was p > 0.47

Therefore , the p-value is ,

p-value=

; from standard normal distribution table