Need help with subparts c, e The personal director of an engineering company believes that there is a significant positive correlationbetween the distance (in miles) an employee travels to work, x, and the number of minutes per month theemployee is late, y. The sample data from a random sampling of 10 employees is shown in the table below.Is the personal director correct? Use a = 5%.x77 18 22 25 28 36 43 44 5344 3 303959 11(a) State the hypotheses:Ho: The Select an answerv of miles traveled to work and minutes late per monthSelect an answerSymbols: O pO Z0 µ1 - 0 20 µO H0 po Hz - ?vHa: The Select an answerv of miles traveled to work and minutes late per monthSelect an answerSymbols: O po Hz, -z,0 Hz0 po µO H0 0 H1 - 12 ?(b) State the decision rule:Select an answerv at ao% if the p-value of thesample statisticva is less than or equal to 0.05(c) Experiment:Symbol of the sample statistic:OpOpOPi- PaOz - 2No244.6.Q. Symbols: O pO 01- 0 0 µO 0 pO Pz - PVHa: The Select an answerv of miles traveled to work and minutes late per monthSelect an answer vSymbols: O po Hz, -0 0 pO µ0 H0 z0 H1 42 ?(b) State the decision rule:Select an answerv at a5o% if the p-value of thesample statisticless than or equal to 0.05(c) Experiment:Symbol of the sample statistic:OpOpOPi- P2OE - 2Value of the sample statistic rounded to 2 decimal places: 2.69P-value of the sample statistic rounded to 4 decimal places: 0.0137(d) Conclusion: Reject HO and accept Ha v d at a = 5(e) Answer the question: Is the personal director correct?O No, because p-value is greater than alpha.O No, because the p-value is less than alpha.O Yes, because the p-value is less than alpha.O Yes, because the p-value is greater than alpha.8.

(c) Step-by-step procedure to find the sample correlation coefficient using Excel: In Excel sheet,…

Symbols: O pO 0 p-0 OO HO pO Hon- v of miles traveled to work and minutes late per month Ha: The Select an answer Select an answer Symbols: O po Pa, -0 0p0 µ0 H0 20 H p2 ?V (b) State the decision rule: v at a= 5 % if the p-value of the Select an answer sample statistic is less than or equal to 0.05 (c) Experiment: Symbol of the sample statistic: Op Op OPi - P2 OF Value of the sample statistic rounded to 2 decimal places: 2.69 P-value of the sample statistic rounded to 4 decimal places: 0.0137 (d) Conclusion: Reject HO and accept Ha v at a - 5 (e) Answer the question: Is the personal director correct? O No, because p-value is greater than alpha. O No, because the p-value is less than alpha. O Yes, because the p-value is less than alpha. O Yes, because the p-value is greater than alpha.

Symbols: O pO 0 p-0 OO HO pO Hon- v of miles traveled to work and minutes late per month Ha: The Select an answer Select an answer Symbols: O po Pa, -0 0p0 µ0 H0 20 H p2 ?V (b) State the decision rule: v at a= 5 % if the p-value of the Select an answer sample statistic is less than or equal to 0.05 (c) Experiment: Symbol of the sample statistic: Op Op OPi - P2 OF Value of the sample statistic rounded to 2 decimal places: 2.69 P-value of the sample statistic rounded to 4 decimal places: 0.0137 (d) Conclusion: Reject HO and accept Ha v at a - 5 (e) Answer the question: Is the personal director correct? O No, because p-value is greater than alpha. O No, because the p-value is less than alpha. O Yes, because the p-value is less than alpha. O Yes, because the p-value is greater than alpha.

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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Question

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Need help with subparts c, e

The personal director of an engineering company believes that there is a significant positive correlation
between the distance (in miles) an employee travels to work, x, and the number of minutes per month the
employee is late, y. The sample data from a random sampling of 10 employees is shown in the table below.
Is the personal director correct? Use a = 5%.
x77 18 22 25 28 36 43 44 53
44 3 303959 11
(a) State the hypotheses:
Ho: The Select an answer
v of miles traveled to work and minutes late per month
Select an answer
Symbols: O pO Z0 µ1 - 0 20 µO H0 po Hz - ?v
Ha: The Select an answer
v of miles traveled to work and minutes late per month
Select an answer
Symbols: O po Hz, -z,0 Hz0 po µO H0 0 H1 - 12 ?
(b) State the decision rule:
Select an answer
v at a
o% if the p-value of the
sample statistic
va is less than or equal to 0.05
(c) Experiment:
Symbol of the sample statistic:
Op
Op
OPi- Pa
Oz - 2
No
24
4.
6.
Q.

Symbols: O pO 01- 0 0 µO 0 pO Pz - PV
Ha: The Select an answer
v of miles traveled to work and minutes late per month
Select an answer v
Symbols: O po Hz, -0 0 pO µ0 H0 z0 H1 42 ?
(b) State the decision rule:
Select an answer
v at a
5
o% if the p-value of the
sample statistic
less than or equal to 0.05
(c) Experiment:
Symbol of the sample statistic:
Op
Op
OPi- P2
OE - 2
Value of the sample statistic rounded to 2 decimal places: 2.69
P-value of the sample statistic rounded to 4 decimal places: 0.0137
(d) Conclusion: Reject HO and accept Ha v d at a = 5
(e) Answer the question: Is the personal director correct?
O No, because p-value is greater than alpha.
O No, because the p-value is less than alpha.
O Yes, because the p-value is less than alpha.
O Yes, because the p-value is greater than alpha.
8.

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