In auto racing a pit stop is is where a racing vehicle stops for new tires and repairs and other mechanical adjustments. the efficiency of a pit crew that makes these adjustments can effect the outcome of a race. a pit crew that its mean pit stop time ( for 4 new tireds and fuel) is 13 seconds. a random sample of 32 pit stops has a sample mean of 12.9 seconds. assume that the populations standard deviation is is 0.19 seconds. using α= 0.01 level of significance, test the pit crew's claim. a. state the hypotheses. b. find the critical value(s). c. compute the test statistic. d. make the decision. d. summarize the results.

a) : t=13 seconds

   : t<13 seconds

b) At α= 0.01, one-tailed critical value is -2.33

c) Test statistic is −2,98

d) since -2.98<-2.33, we can reject the null hypothesis. There is significant evidence that mean pit stop time for the pit crew is less than 13 seconds at α= 0.01.

Step-by-step explanation:

according to the web search, the question is missing some words, one part should be like this:

"A pit crew claims that its mean pit stop time ( for 4 new tires and fuel) is less than 13 seconds."

Let t be the mean pit stop time of the pit crew.

: t=13 seconds

: t<13 seconds

At α= 0.01, one-tailed critical value is -2.33

Test statistic can be calculated using the equation:

where

Then ≈ −2,98

since -2.98<-2.33, we can reject the null hypothesis. There is significant evidence that mean pit stop time for the pit crew is less than 13 seconds at α= 0.01.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !