Consider the following hypothesis test: H 0: = 17 H a: 17 A sample of 40 provided a sample mean of 14.13. The population standard deviation is 4. a. Compute the value of the test statistic (to 2 decimals). (If answer is negative, use minus "-" sign.) b. What is the p-value (to 4 decimals)? c. Using = .05, can it be concluded that the population mean is not equal to 17? Answer the next three questions using the critical value approach. d. Using = .05, what are the critical values for the test statistic (to 2 decimals)? ± e. State the rejection

(a)  Test statistics = -4.54

(b) P-value = 1.9999

(c) We conclude that the population mean is equal to 17.

(d) Critical values for the test statistic are -1.96 and 1.96 .

(e) Test statistics is less than -1.96 or more than 1.96 represent the rejection region.

Step-by-step explanation:

We are given that ;

            Null Hypothesis, : = 17    where, = population mean

   Alternate Hypothesis, : 17

Also, a sample of 40 provided a sample mean of 14.13 and the population standard deviation is 4 i.e.;

= 14.13       = 4    and   n = 40

(a) The test statistics used here will be;

        ~ N(0,1)

 Test statistics = = -4.54

(b) P-value = P(Z > -4.54) = P(Z < 4.54) = 1 - P(Z >= 4.54)

From seeing the z % table we observe that the p-value will be less than 0.99995 in one -tail but in two tail case it will be less than 1.9999 .

(c) At 5% level of significance, we will accept null hypothesis because p -value is more than the significance level so we conclude that population mean is equal to 17.

(d) Using significance level of 5%, the critical values for the test statistic are -1.96 and 1.96 .

(e) If our test statistics is less than -1.96 or more than 1.96, then it will lie in the rejection region and we reject null hypothesis.

And since our test statistics is less than -1.96, so we reject and conclude that population mean is not equal to 17.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

step-by-step explanation:

f(gx)=f(1/x+2)

=(1/x+2)+2

=(1+2x)/2+2

=(1+2x+4)/2

= (2x+5)/2