Question

For each of the following questions, report 1) the appropriate statistical test or estimation procedure to use, 2) the null and alternate hypotheses, 3) the test statistic, 4) the P value, 5) whether you accept or reject the null, then 6) a sentence or two about what the results mean. Don’t forget to check assumptions and transform if necessary.

tim_sec	age	sex	BMI
13615	young	M	18
18784	young	M	20
14256	young	M	23
10905	young	M	19
12077	young	M	22
16401	young	F	21
14216	young	F	25
15402	young	F	28
15326	young	F	26
12047	young	F	24
14677	mid	M	24
16090	mid	M	26
14086	mid	M	27
16461	mid	M	30
20808	mid	M	32
15357	mid	F	34
16771	mid	F	32
15036	mid	F	28
16297	mid	F	27
17636	mid	F	34
14528	old	M	35
17034	old	M	30
14935	old	M	29
14996	old	M	26
22146	old	M	35
17260	old	F	34
25399	old	F	39
18647	old	F	32
15077	old	F	26
25898	old	F	31

Answer 1

1) the appropriate statistical test or estimation procedure to use,

One-Way ANOVA test

2) the null and alternate hypotheses,

Method

Null hypothesis	All means are equal
Alternative hypothesis	Not all means are equal
Significance level	α = 0.05

3) the test statistic,

16.84

4) the P value,

0.000

5) whether you accept or reject the null, then

Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.

6) a sentence or two about what the results mean.

Therefore, we can conclude that not all means are equal.