Question

5. A data set includes data from 400 random tornadoes. The display from technology available below results from using the tomado lengths (miles) to test the claim that the mean tornado length is greater than 2.2 miles. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Click the icon to view the display from technology. What are the null and alterative hypotheses? O A. Hoh=2.2 miles H:HI<2.2 miles OC. How= 2.2 miles H u > 2.2 miles OB. Hp: = 2.2 miles Hyp# 2.2 miles OD. HO <2.2 miles H: = 2.2 miles Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) Slate the final conclusion that addresses the original claim. (1) - – Ho. There is (2) - evidence lo support the claim that the mean tomado length is greater than 2.2 miles 1: Display from Technology Hypothesis test results: : Mean of variable H: 4 = 2.2 HA11>2.2 Variable Sample Mean Length 2.42169 Std. Err. DF T-Stat 0.259544 399 0.854152 P-value 0.1968 (1) (2) Fail to reject Reject O O sufficient not sufficient

Answer 1

5)

H0 : mu = 2.2
HA: mu > 2.2

tets statistic

t = 0.85

p value = 0.197

FAil to reject H0. There is not sufficient evdence

6)

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 4
Alternative Hypothesis, Ha: μ ≠ 4

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (3.95 - 4)/(0.59/sqrt(97))
t = -0.83

P-value Approach
P-value = 0.409

fail to reject null hypothesis.There is not sufficient evdence