Question

Homework: HW 8.4 Testing a Claim About a Standard Deviation Save com HW Score: 49.56%, 5.95 of 12 pts Score: 0.2 of 1 pt % 8.4.12-T Question Help A simple random sample of 30 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.20 mg. Use a 0.05 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.30 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below. a. What are the null and alternative hypotheses? B. Ho: O=0,30 mg Hy: a*0.30 mg O A. Ho: 00.30 mg H: 0 =0.30 mg ©. Họ c > 0.30 mg H: 050.30 mg | Ho -0.30 mg <0.30 mg b. Find the test statistic. x2 - (Round to three decimal places as needed.)
please Find the test statistic, P value, and is this significant?

Answer 1

The statistic software output for this problem is:

One sample variance summary hypothesis test: 02 : Variance of population Ho : o2 = 0.09 HA: 02 +0.09 Hypothesis test results: Variance Sample Var. DF Chi-square Stat P-value 0.04 29 12.888889 0.0086

Test statistics is $\chi^2$   =  12.889

P-value = 0.0086

P-value < 0.05

Reject the null hypothesis .

Significant