Question

A simple random sample of 25 filtered 100 mm cigarettes is​obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.4 mg and a standard deviation of 3.23 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 ​mg, which is the mean for unfiltered king size cigarettes.Please select all TRUE statements from those givem below.1. For this hypothesis test the P-value = .0072. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than21.1 mg.3. For this hypothesis test; H0; 1.1 H1: 21.14. For this hypothesis test the test statistic is t = -2.6325. service.php?service=cache&name=55e1f2083

Answer 1

h0:u ≥ 21.1

h1: u < 21.1

t statistics = -2.632

pvalu = 0.007

there is sufficient evidence to support claim

Explanation:

null hypothesis

h0 = u≥21.1

alternative = u < 21.1

to get test statistics

barx - u / s/√n

= 19.4 - 21.1 / 3.23/√25

= -2.632

we calculate for the p value given this test statistics and the degree of freedom = 25-1 = 24

lest tailed p value = 0.0073 this is approximately 0.007

p value is less than the level of significance so we reject h0

we conclude that we have enough evidence to support h1, mean tar conent is less than 21.1