Aconsumer group claims that the mean acceleration time from 0 to 60 miles per hour for a sedan is "7.9" seconds. a random sample of 33 sedans has a mean acceleration time from 0 to 60 miles per hour of 7.6 seconds. assume the population standard deviation is 2.3 seconds. find the standardized test statistic and the corresponding p-value.

Given claim : A consumer group claims that the mean acceleration time from 0 to 60 miles per hour for a sedan is "7.9" seconds.

Let be the population mean.

Then, the null hypothesis and alternative hypothesis will be :-

, since the alternative hypothesis is two=tailed , so the test is a two-tailed test.

Test statistic for population mean :-

Given :

Then, we have

Hence, the standardized test statistic=

The p-value (two tailed)=

l.ln.lln.k.nkl

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