brookdalecc.instructure.com Question 3 0/ 1 pts A politician claims that the mea
ID: 3312274 • Letter: B
Question
brookdalecc.instructure.com Question 3 0/ 1 pts A politician claims that the mean salary for managers in his state is equal to the national mean of $82,000. The salaries (in dollars) for a random sample of 10 managers in the state are listed. Assume the population of salaries is normally distributed. At alpha-0.1, is there enough evidence to reject the claim? 74,587 76,098 84,76881,301 87,960 83,177 74,229 75,677 96,887 79,855 Next, calculate the standardized test statistic that you chose in the previous question. Round it to two decimal places. ("when you are in the process of calculating the standardized test statistic, round your mean and standard deviation to the ones place (the nearest whole number) to ensure your answer matches the quiz answer*. Remember, you can use Minitab during Test 3, so use Minitab to calculate the mean and standard deviation...don't waste time doing this by hand!)Explanation / Answer
Given that,
population mean(u)=82000
sample mean, x =81453.9
standard deviation, s =7137.1784
number (n)=10
null, Ho: =82000
alternate, H1: !=82000
level of significance, = 0.1
from standard normal table, two tailed t /2 =1.833
since our test is two-tailed
reject Ho, if to < -1.833 OR if to > 1.833
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =81453.9-82000/(7137.1784/sqrt(10))
to =-0.242
| to | =0.242
critical value
the value of |t | with n-1 = 9 d.f is 1.833
we got |to| =0.242 & | t | =1.833
make decision
hence value of |to | < | t | and here we do not reject Ho
p-value :two tailed ( double the one tail ) - Ha : ( p != -0.242 ) = 0.8142
hence value of p0.1 < 0.8142,here we do not reject Ho
ANSWERS
---------------
null, Ho: =82000
alternate, H1: !=82000
test statistic: -0.242
critical value: -1.833 , 1.833
decision: do not reject Ho
p-value: 0.8142
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.