State the final conclusion that addresses the original claim. Choose the correct

Question

State the final conclusion that addresses the original claim. Choose the correct answer below.

(A)  Fail to l to reject H0 There is Insufficient Evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.

(B) Reject H0. There is Insufficient Evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.

(C) Fail to reject H0. There is Sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1mg.

The P-value is=

(Round to three decimal places as needed.)

The P-value is  

(A) Between 0.01 and 0.05

(B) Greater than 0.1

(C) Between 0.05 and 0.1

Explanation / Answer

Solution:-

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: > 21.1

Alternative hypothesis: < 21.1

Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the sample mean is too small.

Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

SE = s / sqrt(n)

S.E = 0.77

DF = n - 1 = 25 - 1

D.F = 24

t = (x - ) / SE

t = - 1.169

where s is the standard deviation of the sample, x is the sample mean, is the hypothesized population mean, and n is the sample size.

The observed sample mean produced a t statistic test statistic of - 1.169. We use the t Distribution Calculator to find P(t < - 1.169) = 0.121

Thus the P-value in this analysis is 0.121.

Interpret results. Since the P-value (0.121) is greater than the significance level (0.05), we cannot reject the null hypothesis.

Fail to l to reject H0 There is Insufficient Evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.

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