Problem5 (Use the Formula sheet and the Tables to answer this question, You should not use Mega- and Select the letter f

Post by **answerhappygod** » Mon Nov 15, 2021 10:18 am

: Problem5 Use The Formula Sheet And The Tables To Answer This Question You Should Not Use Mega And Select The Letter F 1 (86.91 KiB) Viewed 56 times

Problem5 (Use the Formula sheet and the Tables to answer this question, You should not use Mega- and Select the letter from (a, b, c ord) below that corresponds to the correct answer.) In order to determine the productivity of newly hired salesmen. It is believed that the productivity of the newly hired salesmen is different from 470 boxes. To test this belief at the 5% significance level. A random sample of 40 salesmen has a mean of 450 boxes and a standard deviation of 50 boxes. Hypothesis Test: Mean vs. Hypothesized Value 470.00 hypothesized value 450.00 mean boxes 50.00 std. dev. 7.91 std. error n df t .0156 p-value (two-tailed) confidence interval 90% lower confidence interval 90.% upper Complete the missing values of above the Mega-Stat output, and use it to solve the following questions: 1. Write the null Ho and alternative hypotheses H1 C a) HO: u - 470, Hl: u > 470 b) HO: 4 - 470, Hl: u < 470 c) y - 470. H: 470

2. Verify the assumptions you need to make the test. a) z- test: n=40>30 + standard deviation of the population is unknown b) t-test: n=40>30+ standard deviation of the population is known c) t-test : n=40>30+ standard deviation of the population is unknown 3. Test the hypothesis is (a) using P-value a) p-value = 0.0156 < 0.05 we reject HO, the mean is different from 470 b) p-value = 0.0156 < 0.05 we reject HO, the mean is different from 450 c) p-value = 0.0156 < 0.05 we reject HO, the mean is equal to 470 4. Write the decision in statement of the test you did in (c) a)There is sufficient enough evidence to conclude that the productivity of the newly hired salesmen different from 450 boxes b)There is sufficient enough evidence to conclude that the productivity of the newly hired salesmen different from 470 boxes c)There is sufficient enough evidence to conclude that the productivity of the newly hired sales men is 470 boxes 5. Find Critical value of the statistical test in part (a), with 5% significance level (using the tables) a) df= 40, critical value= 2.023 b) df=39, critical value=2.021 c) df= 39, critical value= 2.023 6. Calculate the Test statistic t (Use formula sheet) a) t= -2.5298 b) t= 2.5298 c) z=-2.5298

7. Test the hypothesis is (a) using Test statistic t a) The value of the test statistics -2.5298 is less than -2.023, we reject the null hypothesis, then the claim is true b) The value of the test statistics -2.5298 is more than -2.023, we reject the null hypothesis, then the claim is true c) The value of the test statistics -2.5298 is less than -2.023, we fail to reject the null hypothesis, then we don't have evidence to conclude that the claim is true 8. Estimate the population mean with 95% confidence (Use formula sheet) c) UL = 434.99, LL = 465.99 b) LL = 434.0067 , UL = 465.99 c) UL = 434.0067 , LL = 465.99 9. Test the hypothesis is (a) using the confidence interval method a) Since 450 fall inside the C.I. therefore, we would reject H0 and the claim is true b) Since 450 fall outside the C.I. therefore, we would reject H0 and the claim is true c) Since 470 fall outside the C.I. therefore, we would reject H0 and the claim is true