Question

Refer to the accompanying data set and construct a 90​% confidence interval estimate of the mean pulse rate of adult​ females; then do the same for adult males. Compare the results.

Males   Females
87   77
74   92
51   56
60   65
54   54
61   83
51   78
77   85
49   89
62   55
74   34
59   68
66   81
76   79
80   79
63   66
64   66
96   80
45   58
85   61
72   82
62   85
73   72
71   75
53   85
64   92
57   86
77   93
73   92
63   95
64   68
96   89
57   85
67   80
59   77
59   53
67   100
71   73
86   75
60   77

A.Construct a 90​% confidence interval of the mean pulse rate for adult females.

___bpm<μ<___ bpm?

round one decimal place

B.Construct a 90​% confidence interval of the mean pulse rate for adult males.

_____bpm<μ<_____bpm?

C.

A.The confidence intervals do not​ overlap, so it appears that adult females have a significantly higher mean pulse rate than adult males.

B.The confidence intervals do not​ overlap, so it appears that there is no significant difference in mean pulse rates between adult females and adult males.

C.The confidence intervals​ overlap, so it appears that there is no significant difference in mean pulse rates between adult females and adult males.

D.The confidence intervals​ overlap, so it appears that adult males have a significantly higher mean pulse rate than adult females.

Answer 1

We can find the 95% confidence interval for mean using TI-84 calculator .

First enter the male data set into the L1 list of the the TI-84 , Press STAT key ---> 1:Edit and hit enter.

Then press STAT ---> scroll to TESTS ---> Select T interval and hit enter. ( Because population standard deviation σ is not known and instead of we can find sample standard deviation s , so we have to use T interval )

Then scroll to data and hit enter ,

For List enter L1 ( to appear L1 press 2ND and then 1 )

Then directly scroll to C-level

We are given 90% confidence level ,so plug C-Level = 0.9 ,

Then scroll to calculate and hit enter.

B) Therefore 90​% confidence interval of the mean pulse rate for adult males is 63.9 bpm < µ < 70.4

Similar way enter the female data set into the L1 list and follow the same steps again , find the required confidence interval .

A) Therefore 90​% confidence interval of the mean pulse rate for adult females is 72.3 bpm < µ < 79.7

C) A.The confidence intervals do not​ overlap, so it appears that adult females have a significantly higher mean pulse rate than adult males.