MAT510 Assignment 8

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510_week_10_classwork.xlsx

Sheet1

Brand X Brand Y Brand Z
501 410 488
475 398 467
495 391 483
490 412 484
478 391 498
493 404 491
474 382 481
481 411 502
499 407 511
499 430 524
Sample Size (n) 10 10 10
Mean 489 404 493
Standard Deviation (s) 10.54 13.70 16.40
T - Distribution for Confidence Interval = 95% 2.26 2.26 2.26
Note**(Critical value based on sample size found in book) degrees of freedom pg. 498
Confidence Interval
x(mean) + (t *s)/sqrt(n) 496.04 413.39 504.62
x(mean) - (t *s)/sqrt(n) 480.96 393.81 481.18
Prediction Interval
x(mean) + t * sqrt(s^2 + s^2/n) 513.49 436.08 531.78
x(mean) - t * sqrt(s^2 + s^2/n) 463.51 371.12 454.02
Male Females Total
Resigned 22 12 34
Remained 686 144 830
(n) Total 708 156 864
Confidence Interval for Proportion Resigned 0.03107 0.07692 0.03935
Remained 0.96893 0.92308 0.96065
Proportion Difference (p) -0.93785 -0.84615 -0.92130
Proportion Interval Males (P1) Females (P2) Proportion (+) Proportion (-)
p + 1.96*sqrt (p(1-p)/n) Resigned -0.0449 -0.0468
p - 1.96*sqrt (p(1-p)/n) Remained 0.0468 0.0449
for homework assingment 9 find the non service contract number from the total and service contract numbers