Computers In some vehicles calculate various quantties related to performance. O

Question

Computers In some vehicles calculate various quantties related to performance. One of these the fuel emclency, or gas mleage, usually expressed as mlles per gallon (MPG). We would lke to est the clalm that the mean MPG for Honda ls less than the mean MPG for Toyota. The data Chapter 9 quz MPG data" recorded the MPG values for 10 Honda vehicles and 10 Toyota vehlcles. DO NOT 3esume equal populatilon standard devlations. Assume population 1 ls Honda vehlcles and populatlon 2 ls Toyota vehicles. Open the data (Chapters qulz MPG data), which ls also avallable (below) to anewer questions 9-10 Honda Toyota 15.8 19.4 13.6 226 15.6 19.4 19.1 22.4 14.6 15.6 18.7 22.521 17.2 14.8 20.6 19.5 18.3 21.6 10. What ls the P-value? (Use STATCRUNCH; keep 2 declmal places.) (After completing and submitting the qulz, please, spend a few minutes to analyze the concluslon of this teet which ls found In the Feedback section of this question.)

Explanation / Answer

Here I write R-code for given problem. In which I perform

t test for equallity of two population mean.

The R-code is given as:

x=c(15.8,13.6,15.6,19.1,22.4,15.6,22.5,17.2,20.6,18.3)

y=c(19.4,22.6,19.4,18,14.6,18.7,21,14.8,19.5,21.6)

t.test(x,y,alternative="less",var.equal=FALSE)

And the output is as:

Here p-value is 0.2472

Here p-value is greater than 0.05 thus we accept null hypothesis

that mean of MPG for honda and mean of MPG for toyota are equal

at 5% level of significance.

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