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an engineering research center claims that through the use of a new computer control system, automo- biles should achieve, on average, an additional 3 miles per gallon of gas. a random sample of 100 automo- biles was used to evaluate this product. the sample mean increase in miles per gallon achieved was 2.4, and the sample standard deviation was 1.8 miles per gallon. test the hypothesis that the population mean is at least 3 miles per gallon. find the p-value of this test, and interpret your findings.

Sagot :

The test is proved that hypothesis that the population mean is atleast 3-miles per gallon.

What is hypothesis?

A hypothesis is the proposed explanation for any kind of  phenomenon.

So here are the values of X  BAR i=2.4. S is 1.8.

Our sample n =100.

The null hypothesis here is that mu is greater than or equal to 3.

Against the alternative hypothesis that  is less than three. Now the calculated value for the test statistic is going to be the  equal to X bar is in (-)  knots. That's 2.4 -3. divided by S over  2^2 of end. So 1.8 divided by the square root of the  100 gives us negative 3.33. So we can refer to that box of the T distribution and we are  get the value. The p value for the test is going to be less than 0.5. Therefore we have the  strong evidence that the not hypothesis is going to be the  read checked it.  So  therefore we can reject to the  null hypothesis and then it can accept the alternative by the  hypothesis that  is less than three. Where it is  here is the mean of the population, the noting the average increase per gallon.

To know more about the hypothesis click-

https://brainly.com/question/606806

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