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Only need the parts without the checkmark. Suppose mu1 and mu2 are true mean sto

ID: 3393657 • Letter: O

Question

Only need the parts without the checkmark.

Suppose mu1 and mu2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Use the two-sample t test at significance level 0.01 to test Hq: si = 5.02, n = 7, y = 129.8, and s2 = 5.33. Calculate the test statistic and determine the rho-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = rho-value = State the conclusion in the problem context. Reject Ho. The data suggests that the difference between mean stopping distances is less than -10. Reject H0. The data does not suggest that the difference between mean stopping distances is less than -10. Fail to reject H0. The data suggests that the difference between mean stopping distances is less than -10. Fail to reject Ho. The data does not suggest that the difference between mean stopping distances is less than -10.

Explanation / Answer

Set Up Hypothesis
Null: u1 - u2 = -10
Alternate H1: u1 - u2 < -10
Test Statistic
X(Mean)=114.5
Standard Deviation(s.d1)=5.02 ; Number(n1)=7
Y(Mean)=129.8
Standard Deviation(s.d2)=5.33; Number(n2)=7
we use Test Statistic (t) = (X-Y)-(U1-U2)/Sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =114.5-129.8/Sqrt((25.2004/7)+(28.4089/7))
to =-1.9152 ~ -1.92
P-Value:Left Tail - Ha : ( P < -1.92 ) = 0.05163

[ANSWERS]

to=-1.92
P-value : 0.05163