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Statistics Case Study 1 Essay

Statistics
Case Study-1

AgeWeeks Employed
5521
3018
2311
5236
4119
2512
427
4525
256
4021
2513
2511
5934
4927
3318
3520

a.
AgeWeeks Employed
Mean37.75Mean18.6875
Standard Error2.974195Standard Error2.

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188452
Median37.5Median18.5
Mode25Mode21
Standard Deviation11.89678Standard Deviation8.753809
Sample Variance141.5333Sample Variance76.

62917
Kurtosis-1.17143Kurtosis-0.21626
Skewness0.337402Skewness0.522601
Range36Range30
Minimum23Minimum6
Maximum59Maximum36
Sum604Sum299
Count16Count16
Confidence Level(99.0%)8.

764138Confidence Level(99.0%)6.44877

b. 99% confidence interval estimate for mean age of newly hired employees;

37.75 V 8.76 = 28.

99
to
37.75 + 8.76 = 46.51

c. Hypothesis:

Decision Rule: Reject Ho if t > t-critical
Do not reject Ho if t < t-critical

t-critical = t0.01,15 =2.

602

0.771 < 2.602
Therefore, at a 99% Confidence Level the Null Hypothesis can not be rejected and we can not state that Riversides mean duration of employment weeks is any greater than the mean duration of employment weeks within the rest of California.

d. Is there a relationship between the age of a newly employed individual and the number of weeks of employment?

By using a scatter plot and plotting the number of weeks employed in respect to the ages of the workers, you can see that the points are distributed along a straight line. The number of weeks employed increase positively as the age of the worker increases.

Therefore it is safe to say that there is a positive correlation between the ages of newly employed workers and the number of weeks they are employed.

Textbook Exercise 7.6, The Trash Bag Case

Text Problem 7.6:

n =40
mean =50.575
std dev. =1.

6438

a.
95% =0.509408783m =50.06559122
m =51.08440878

99% =0.669478969m =49.

90552103
m =51.24447897

b.Yes, we can be 95% confident that the trash bags are at least 50 pounds in strength because the lower confidence level is slightly more than 50 at 50.06 pounds.

c.No, we can not be 99% confident that the trash bags are at least 50 pounds in strength because the lower confidence level is slightly less than 40 at 49.

9 pounds.

d.Even though I can not say for sure with 99% confidence that the trash bags have a 50 pound strength, the lower confidence level is very close at 49.9 pounds. Since no other trash bag on the market has a breaking strength of 50 pounds, I think that I can say in good confidence that this bag is the strongest bag on the market.

Textbook Problem 8.

76:

a. ,do not reject, the manufacturers claim is true
, reject the null, the manufacturers claim is false

b. Sample size is > 30 so therefore we can use z-statistics.
(316/400 V 0.95)/0.95*(1-0.

95)/4001/2 = -14.683

So, if given a significant level (N), if z-stat < -ZN, then reject null hypothesis and accept alternative hypothesis.

a-ZNAction on null hypothesis
0.10-1.282Reject
0.05-1.

645Reject
0.01-2.326Reject
0.001-3.090Reject

From the above information it can be concluded that the manufacturers claim is false.

c.

Not really because the manufacturer claims that their television sets last at least 5 years without needing repairs but the sample collected was from consumers that owned their sets for 5 years and not beyond. In order for the results of the survey to have practical importance we would need to sample consumers that have owned their sets for 5 or more years.

Palmer vs. Woods:

Woods,1999 Palmer,1960
mean =69.56mean =69.95
N=84N=112
std dev.

=2.5std dev. =2.5 .

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Statistics Case Study 1 Essay
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Statistics Case Study-1 AgeWeeks Employed 5521 3018 2311 5236 4119 2512 427 4525 256 4021 2513 2511 5934 4927 3318 3520 a. AgeWeeks Employed Mean37.75Mean18.6875 Standard Error2.974195Standard Error2.

188452 Median37.5Median18.5 Mode25Mode21 Standard Deviation11.89678Standard Deviation8.753809 Sample Variance141.5333Sample Variance76.

62917 Kurtosis-1.17143Kurtosis-0.21626 Skewness0.337402Skewness0.522601 Range36Range30 Minimum23Minimum6 M

2019-02-12 07:52:22
Statistics Case Study 1 Essay
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