And to make decision The number of carbohydrates found in a

The number of carbohydrates found in a random sample of fast food entrees it listed below, lx there sufficient evidence to conclude that the variance differs from 100? Use the 0.10 level of sienifkaoce. Assume the variables are approximate!) normally distributed. State the hypotheses and identify the claim with the correct hypothesis.

Solution

Chi-Square Test of Variance

Data

Null Hypothesis                        s^2=

100

Level of Significance

0.1

Sample Size

15

Sample Standard Deviation

11.9455

Intermediate Calculations

Degrees of Freedom

14

Half Area

0.05

Chi-Square Statistic

19.9773

Two-Tail Test

Lower Critical Value

6.5706

Upper Critical Value

23.6848

p-Value

0.1309

Do not reject the null hypothesis

P=0.1309

Since p=0.1309 > 0.10, do not reject null hypothesis.

Chi-Square Test of Variance
Data
Null Hypothesis                        s^2=	100
Level of Significance	0.1
Sample Size	15
Sample Standard Deviation	11.9455
Intermediate Calculations
Degrees of Freedom	14
Half Area	0.05
Chi-Square Statistic	19.9773
Two-Tail Test
Lower Critical Value	6.5706
Upper Critical Value	23.6848
p-Value	0.1309
Do not reject the null hypothesis