Question

Question 7. t-Test A report based on a study conducted in 2003, reported on the body temperature (in Fahrenheit) μ re give versus H.. 986. using a-005. Test the hypothesis Ho

data from 5-7.csv

Subject	Temp in F
1	97.8
2	97.2
3	97.4
4	97.6
5	97.8
6	97.9
7	98
8	98
9	98
10	98.1
11	98.2
12	98.3
13	98.3
14	98.4
15	98.4
16	98.4
17	98.5
18	98.6
19	98.6
20	98.7
21	98.8
22	98.8
23	98.9
24	98.9
25	99

Answer 1

Let X1,X2,...,X25 denote the 25 observations on female body temperatures.Assuming that the body temperature follows a normal distribution we conduct a t test for the given data. The code and output are given below

Here we reject H0 on the basis of the given data.

x-c (97.8,97.2,97., 97.6, 97.8,97.9,98, 98, 98, 98.1,98.2,98.3,98.3,98.4,98.4,98.4,98.5,98.6,98.6, 98.7,93.8,98.8, 98.9, 93.9, 99) > Xb-mean (x) muo- 98.6 n-length (x) > t-abs ((sqrt (n)(xb-muo))/s) 1 3.484907 qt (0.975,n-1) [1] 2.063899

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