Question

A sample of eleven plants gave the following shoot lengths.A simple random sample of 14 people from a certain population gives body mass indices as shown in the table.can we conclude that the BMI is not 35?let significance level be 0.05

Answer 1

Subject BMI Subject BMI

1 23 8 24

2 25 9 32

3 21 10 57

4 37 11 23

5 39 12 26

6 21 13 31

7 23 14 45

for BMI:

$\overline{x}=30.5,s=10.64$

$H_0:\mu=35$ , BMI is 35

$H_a:\mu\neq35$ , BMI is not 35

$t=\frac{\overline{x}-\mu}{s/\sqrt n}=\frac{30.5-35}{10.64/\sqrt{14}}=-1.582$

$df=n-1=13$

critical value:

$t_{crit}=2.160$

Since $|t|<t_{crit}$ we accept null hypothesis. BMI is 35