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1. (TCO D) The national automobile repair franchise SuperSpeedyService claims it

ID: 2959654 • Letter: 1

Question

1. (TCO D) The national automobile repair franchise SuperSpeedyService claims it can complete a full 50,000 mile warrantee servicing in less than 5.5 hours. You are given the following data from a sample.

Sample size: 50
Population standard deviation: 1.2
Sample mean: 4.6

Formulate a hypothesis test to evaluate the claim.
(Points: 10)
       Ho: µ = 5.5; Ha: µ 5.5
       Ho: µ 5.5; Ha: µ < 5.5
       Ho: µ > 5.5; Ha: µ 5.5
       Ho: µ 4.6; Ha: µ < 4.6


2. (TCO B) Assume that customers patronizing Pete's Gettem While They're Hot hot dog stand are binomially distributed by age (young = 18 or younger, and old = over 18). If ten people visit Pete's on a typical day, determine the following:

Binomial distribution

10

n

0.5

p




X

P(X)

cumulative probability

0

0.00098

0.00098

1

0.00977

0.01074

2

0.04395

0.05469

3

0.11719

0.17188

4

0.20508

0.37695

5

0.24609

0.62305

6

0.20508

0.82813

7

0.11719

0.94531

8

0.04395

0.98926

9

0.00977

0.99902

10

0.00098

1.00000





What is the probability that at least 6 will be young?
(Points: 10)
       83%
       62%
       21%
       38%

10

n

0.5

p

Explanation / Answer

"in less than 5.5 hours" That's the alt so: Ho: µ = 5.5; Ha: µ < 5.5 at least 6 is P(10)-P(5) on there - the compliment of the probability of it being 5 or less. 1-0.62305=.38