Only need the parts without the checkmark Suppose mu1 and mu

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.

Solution

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