You may need to use the appropriate appendix table or technology to answer this question. Suppose that a recent issue of a magazine reported that the average weekly earnings for workers who have not received a high school diploma is $494. Suppose you would like to determine if the average weekly for workers who have received a high school diploma is significantly greater than average weekly earnings for workers who have not received a high school diploma. Data providing the weekly pay for a sample of 50 workers are available in the file named WeeklyHSGradPay. These data are consistent with the findings reported in the article. Weekly Pay 687.73 543.15 789.45 442.26 684.85 661.43 478.3 629.62 486.95 786.47 652.15 652.82 669.81 641.13 577.24 845.68 541.59 553.36 743.25 468.61 821.71 757.82 657.34 506.95 744.93 553.2 827.92 663.85 685.9 637.25 530.54 515.85 588.77 506.62 720.84 503.01 583.18 7,980.24 465.55 593.12 605.33 701.56 491.86 763.4 711.19 631.73 605.89 828.37 477.81 703.06 (a) State the hypotheses that should be used to test whether the mean weekly pay for workers who have received a high school diploma is significantly greater than the mean weekly pay for workers who have not received a high school diploma. (Enter != for ≠ as needed.) H0: Ha: (b) Use the data in the file named WeeklyHSGradPay to compute the sample mean, the test statistic, and the p-value. (Round your sample mean to two decimal places, your test statistic to three decimal places, and your p-value to four decimal places.) sample mean=test statistic=p-value= (c) Use α = 0.05. What is your conclusion? Do not reject H0. We can not conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.Reject H0. We can conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma. Reject H0. We can not conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.Do not reject H0. We can conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma. (d) Repeat the hypothesis test using the critical value approach. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: Find the value of the test statistic. (Round your answer to three decimal places.) State the critical values for the rejection rule. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic≤test statistic≥ State your conclusion. Do not reject H0. We can not conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.Reject H0. We can conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma. Reject H0. We can not conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.Do not reject H0. We can conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.

You may need to use the appropriate appendix table or technology to answer this question. Suppose that a recent issue of a magazine reported that the average weekly earnings for workers who have not received a high school diploma is $494. Suppose you would like to determine if the average weekly for workers who have received a high school diploma is significantly greater than average weekly earnings for workers who have not received a high school diploma. Data providing the weekly pay for a sample of 50 workers are available in the file named WeeklyHSGradPay. These data are consistent with the findings reported in the article. Weekly Pay 687.73 543.15 789.45 442.26 684.85 661.43 478.3 629.62 486.95 786.47 652.15 652.82 669.81 641.13 577.24 845.68 541.59 553.36 743.25 468.61 821.71 757.82 657.34 506.95 744.93 553.2 827.92 663.85 685.9 637.25 530.54 515.85 588.77 506.62 720.84 503.01 583.18 7,980.24 465.55 593.12 605.33 701.56 491.86 763.4 711.19 631.73 605.89 828.37 477.81 703.06 (a) State the hypotheses that should be used to test whether the mean weekly pay for workers who have received a high school diploma is significantly greater than the mean weekly pay for workers who have not received a high school diploma. (Enter != for ≠ as needed.) H0: Ha: (b) Use the data in the file named WeeklyHSGradPay to compute the sample mean, the test statistic, and the p-value. (Round your sample mean to two decimal places, your test statistic to three decimal places, and your p-value to four decimal places.) sample mean=test statistic=p-value= (c) Use α = 0.05. What is your conclusion? Do not reject H0. We can not conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.Reject H0. We can conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma. Reject H0. We can not conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.Do not reject H0. We can conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma. (d) Repeat the hypothesis test using the critical value approach. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: Find the value of the test statistic. (Round your answer to three decimal places.) State the critical values for the rejection rule. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic≤test statistic≥ State your conclusion. Do not reject H0. We can not conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.Reject H0. We can conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma. Reject H0. We can not conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.Do not reject H0. We can conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You may need to use the appropriate appendix table or technology to answer this question.

Suppose that a recent issue of a magazine reported that the average weekly earnings for workers who have not received a high school diploma is $494. Suppose you would like to determine if the average weekly for workers who have received a high school diploma is significantly greater than average weekly earnings for workers who have not received a high school diploma. Data providing the weekly pay for a sample of 50 workers are available in the file named WeeklyHSGradPay. These data are consistent with the findings reported in the article.

Weekly Pay

687.73	543.15	789.45	442.26	684.85	661.43	478.3	629.62	486.95	786.47
652.15	652.82	669.81	641.13	577.24	845.68	541.59	553.36	743.25	468.61
821.71	757.82	657.34	506.95	744.93	553.2	827.92	663.85	685.9	637.25
530.54	515.85	588.77	506.62	720.84	503.01	583.18	7,980.24	465.55	593.12
605.33	701.56	491.86	763.4	711.19	631.73	605.89	828.37	477.81	703.06

(a)

State the hypotheses that should be used to test whether the mean weekly pay for workers who have received a high school diploma is significantly greater than the mean weekly pay for workers who have not received a high school diploma. (Enter != for ≠ as needed.)

H₀:

H_a:

(b)

Use the data in the file named WeeklyHSGradPay to compute the sample mean, the test statistic, and the p-value. (Round your sample mean to two decimal places, your test statistic to three decimal places, and your p-value to four decimal places.)

sample mean=test statistic=p-value=

(c)

Use

α = 0.05.

What is your conclusion?

Do not reject H₀. We can not conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.Reject H₀. We can conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma. Reject H₀. We can not conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.Do not reject H₀. We can conclude that the mean weekly pay for workers who have received a high school diploma is higher than that for workers who have not received a high school diploma.

(d)

Repeat the hypothesis test using the critical value approach.

State the null and alternative hypotheses. (Enter != for ≠ as needed.)

H₀:

H_a:

Find the value of the test statistic. (Round your answer to three decimal places.)

State the critical values for the rejection rule. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤test statistic≥

State your conclusion.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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