Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time faculty? An article reported that for a sample of 125 courses taught by full-time faculty, the mean course GPA was 2.7186 and the standard deviation was 0.67342, whereas for a sample of 88 courses taught by part-timers, the mean and standard deviation were 2.8639 and 0.53241, respectively. Does it appear that true average course GPA for part-time faculty differs from that for faculty teaching full-time? Test the appropriate hypotheses at significance level 0.01.State the relevant hypotheses.H0: ?full-time − ?part-time = 0Ha: ?full-time − ?part-time < 0H0: ?full-time − ?part-time = 0Ha: ?full-time − ?part-time ≠ 0 H0: ?full-time − ?part-time = 0Ha: ?full-time − ?part-time > 0H0: ?full-time − ?part-time = 0Ha: ?full-time − ?part-time ≥ 0H0: ?full-time − ?part-time = 0Ha: ?full-time − ?part-time ≤ 0Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)z=P-value=State the conclusion in the problem context.Reject H0. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.Fail to reject H0. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time. Reject H0. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.Fail to reject H0. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.You may need to use the appropriate table in the Appendix of Tables to answer this question. Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time faculty? An article reported that for a sample of 125 courses taught by full-time faculty,the mean course GPA was 2.7186 and the standard deviation was 0.67342, whereas for a sample of 88 courses taught by part-timers, the mean and standard deviation were 2.8639 and 0.53241, respectively.Does it appear that true average course GPA for part-time faculty differs from that for faculty teaching full-time? Test the appropriate hypotheses at significance level 0.01.State the relevant hypotheses.O Ho: Hfull-time - Hpart-time = 0Ha: Hfull-time - Hpart-time <0O Ho: Hfull-time= 0Hpart-timeHa: Hfull-time - Hpart-time + 0O Ho: Hfull-time - Hpart-time= 0H: Hfull-timePpart-time> 0O Ho: Hfull-time= 0Hpart-timeHa: Hfull-time - Hpart-time > 0O Ho: Hfull-time - "part-time = 0Ha: Hfull-time - Hpart-time < 0Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)z =P-value =State the conclusion in the problem context.O Reject Ho. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.O Fail to reject Ho. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.O Reject Ho. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.O Fail to reject Ho. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.You may need to use the appropriate table in the Appendix of Tables to answer this question.

Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time faculty? An article reported that for a sample of 125 courses taught by full-time faculty, the mean course GPA was 2.7186 and the standard deviation was 0.67342, whereas for a sample of 88 courses taught by part-timers, the mean and standard deviation were 2.8639 and 0.53241, respectively. Does it appear that true average course GPA for part-time faculty differs from that for faculty teaching full-time? Test the appropriate hypotheses at significance level 0.01. State the relevant hypotheses. O Ho: Htull-time - Hpart-time= 0 Ha: Hfull-time - "part-time <0 O Ho: Htull-time - Hpart-time = 0 Ha: Htull-time - Hpart-time * 0 O Ho: Hfull-time - "part-time =0 H: Hfull-time - Hoart-time > 0 O Ho: Hfull-time - "part-time =D Ha: Hfull-time - Hpart-time 2 0 O Ho: Hull-time - Hpart-time = 0 H3: Hfull-time - Hpart-time <0 Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) p-value = State the conclusion in the problem context. O Reject Ho. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time. O Fail to reject Ho. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time. O Reject H,. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time. O Fail to reject H,. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time. You may need to use the appropriate table in the Appendix of Tables to answer this question.

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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Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time faculty? An article reported that for a sample of 125 courses taught by full-time faculty, the mean course GPA was 2.7186 and the standard deviation was 0.67342, whereas for a sample of 88 courses taught by part-timers, the mean and standard deviation were 2.8639 and 0.53241, respectively. Does it appear that true average course GPA for part-time faculty differs from that for faculty teaching full-time? Test the appropriate hypotheses at significance level 0.01.

State the relevant hypotheses.

H₀: ?_full-time − ?_part-time = 0
H_a: ?_full-time − ?_part-time < 0H₀: ?_full-time − ?_part-time = 0
H_a: ?_full-time − ?_part-time ≠ 0 H₀: ?_full-time − ?_part-time = 0
H_a: ?_full-time − ?_part-time > 0H₀: ?_full-time − ?_part-time = 0
H_a: ?_full-time − ?_part-time ≥ 0H₀: ?_full-time − ?_part-time = 0
H_a: ?_full-time − ?_part-time ≤ 0

Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

z=P-value=

State the conclusion in the problem context.

Reject H₀. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.Fail to reject H₀. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time. Reject H₀. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.Fail to reject H₀. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.

You may need to use the appropriate table in the Appendix of Tables to answer this question.

Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time faculty? An article reported that for a sample of 125 courses taught by full-time faculty,
the mean course GPA was 2.7186 and the standard deviation was 0.67342, whereas for a sample of 88 courses taught by part-timers, the mean and standard deviation were 2.8639 and 0.53241, respectively.
Does it appear that true average course GPA for part-time faculty differs from that for faculty teaching full-time? Test the appropriate hypotheses at significance level 0.01.
State the relevant hypotheses.
O Ho: Hfull-time - Hpart-time = 0
Ha: Hfull-time - Hpart-time <0
O Ho: Hfull-time
= 0
Hpart-time
Ha: Hfull-time - Hpart-time + 0
O Ho: Hfull-time - Hpart-time
= 0
H: Hfull-time
Ppart-time
> 0
O Ho: Hfull-time
= 0
Hpart-time
Ha: Hfull-time - Hpart-time > 0
O Ho: Hfull-time - "part-time = 0
Ha: Hfull-time - Hpart-time < 0
Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
z =
P-value =
State the conclusion in the problem context.
O Reject Ho. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.
O Fail to reject Ho. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.
O Reject Ho. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.
O Fail to reject Ho. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.
You may need to use the appropriate table in the Appendix of Tables to answer this question.

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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