Multiple Choice Select the Best Letter Response A, B, C, or D 1. The National Co

Question

Multiple Choice Select the Best Letter Response A, B, C, or D

1. The National Coffee Association reported that 64% of U.S. Adults drink coffee daily. A random sample of 150 U.S. Adults is selected. Find the probability that the proportion of the sampled adults who drink coffee is between 0.58 and 0.68.  (keep at least 5 decimal places for intermediate calculations and round the Z to two decimal places)

0.7831

0.9842

0.2356

0.5689

2. At a cell phone assembly plant, 82% of the cell phone keypads pass inspection. A random sample of 170 keypads is analyzed. Find the probability that less than 85% of the sample keypads pass inspection.

0.8461

0.8324

0.8023

0.8200

4. Which of the following must be true in order to approximate the sampling distribuion of sample proportion with the normal model?

np=10   and n(1-p)=10

np10   and n(1-p)10

np 10   and n(1-p) 10   

np10   and n(1-p) 10  

5. Assume that blood pressure readings are normally distributed with mean 123 and a standard deviation of 9.6. If 144 people are randomly selected, find the probability that their mean blood pressure will be less than 125.

0.0062

0.9998

0.9938

0.8615

7. The GPA of the graduating seniors of a certain university is normally distributed with a mean of 3 and standard deviation of 0.33. Would it be unusual for a graduating senior to have a GPA of 2.2 or lower?

No, the probability of having a GPA of 2.2 or lower is greater than .05

No, the probability of having a GPA of 2.2 or lower is less than .05

Yes, the probability of having a GPA of 2.2 or lower is less than .05

Yes, the probability of having a GPA of 2.2 or lower is greater than .05

8. The mean gas mileage for a hybrid car is 44 miles per gallon. Suppose that the gasoline mileage is normally distributed with a standard deviation of 3 miles per gallon. Determine the 85th percentile of gas mileage. (Round to one decimal place)

46.6

44.9

44.3

47.1

9. The average credit card debt for college seniors is $3500. The debt is normally distributed with a standard deviation of $1000. What percentage of college seniors have more than $2500 in credit card debt?

84.13%

86.42%

13.58%

15.87%

10. As reported by a recent survey, the fast-food restaurant with the best drive-through time had a mean time spent in the drive-through of = 64.5seconds. Assuming drive-through times are normally distributed with =2.6 seconds. What proportion of cars spend between 60 and 70 seconds in the drive through?

0.8485

0.9412

1.025

0.9820

11. The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 3 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 2.2 minutes.

0.9861

0.2562

0.2119

0.3841

True or False?

12. The standard normal distribution has a mean of 0 and a standard deviation of 1

True

False

13. For a standard normal distribution, P( Z < -0.55) = P(Z > 0.55)

True

False

0.7831

0.9842

0.2356

0.5689

Explanation / Answer

In case you have any Qns please drop a comment:

Here are complete answers to each part

1.

p = .64
n = 150

P(.58<X<.68) = ?
=P( (.58-.64)/sqrt(.64*.36/150) <Z<(.68-.64)/sqrt(.64*.36/150))
=P(-1.53<Z<1.02)
=.8461-.0630
=.7831

A is the right answer

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