Question

It is believed that the average age students is 26. Using a 0.05 level of significance, should the findings of the Class Survey support the belief that the average age is 26. The population standard deviation is 6.5. data set:(age)

31
30
21
20
44
43
23
25
30
28
19
21
21
37
26
20
19
22
28
40
20
48
19
20
36
20
20
19
19
21
47
19
21
19
17
19
20
20
32
23
18
21
22
20
19
35
21
42
20
19

Find the following information for the “Age” data set from the Class Survey:

Sample Mean

Sample Standard Deviation

State the null and alternative hypotheses.

What is the population mean?

What is the sample mean?

What is the sample size?

What is the test statistic?

What is the p-value?

What is your decision based on the p-value (reject the null or fail to reject the null)?

Answer 1

Language: R #R version 3.3.2 age c(17, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21,21, 21, 22, 22, 23, 23, 25, 26, 28, 28, 30, 30, 31, 32, 35, 36 37, 40, 42, 43, 44, 47, 48) mean(age) sd(age) Run it (Shift+Enter) Put on a wall Save it [Show input Absolute running time: 0.28 sec, cpu time: 0.53 sec, memory peak: 30 Mb, absolute service time: 0,29 sec [1] 25.28 [1] 8.557226

Popwation mean (u): 26 n so 2 5. 28 Sample me cn ( X) sample standard deviation(s) Population standard deviation Co) - 6.$ Cgiven) There fore we will cun d is know , Here n 30 2 test Use Test , HI: Ho Test statis+ie, 2 - 25.28 26 2. G S o.2 o, 9193 2 = o.783 -value o. 4 336 (from 2- (गपण Here, p-value > o.os ale fail to Teject the null hypothesis