Question

1.The Insurance Institute for Safety conducts tests with crashes of this year’s Canyonero SUV. The institute is examining low speed impact and is testing how much it costs to make repairs to the car when the car crashes when it is moving at around 20 mph. The car manufacturer claims that the mean repair costs are less than $4, 500.The institute takes a random sample of several Canyoneros and examines the cost to repair the cars when they crash into another car at a speed of 20 mph. Their results for the repair costs, in dollars, are as follows:{5200, 4350, 6012, 6782, 4605, 5690, 6131, 6700, 4960, 6204}.Assume that the cost to repair the car is approximately normally distributed.

PLEASE ANSWER THE FOLLOWING USING R STUDIO

a.Compute the p-value of your test statistic using the “pt()” function in R Studio. Interpret this value with a complete sentence.

b.Use the “t.test()” function in R Studio to quickly verify your result from part a

Answer 1

1) the t test result is :

as the test statistics is 4.234 and thus the p value is 0.001097 which is less than 0.05 , we reject the null hypothesis and conclude that mean repair costs are less than $4500.

I HOPE I WAS HELPFUL AND HAVE CLEARED YOUR DOUBTS.

THANKYOU