# mathematics

 uestion 13.13. If p=.9 and n=40, then we can conclude that the sampling distribution of  the proportions is approximately a normal distribution. (Ch8) (Points : 8)

True
False

 Question 14.14. The standard deviation of the sampling distribution of the sample mean is the same as the population standard deviation. (Ch8) (Points : 8)

True
False

 Question 15.15. If events A and B are mutually exclusive, then P(A and B) is always equal to zero. (Ch5) (Points : 8)

True
False

 Question 16.16. If a null hypothesis is rejected at a significance level of .01, it will ______ be rejected at a significance level of .05 (Ch10) (Points : 12)

Always
Sometimes
Never

 Question 17.17. The internal auditing staff of a local manufacturing company performs a sample audit each quarter to estimate the proportion of accounts that are delinquent more than 90 days overdue. The historical records of the company show that over the past 8 years 14 percent of the accounts are delinquent. For this quarter, the auditing staff randomly selected 250 customer accounts. What is the probability that at least 30 accounts will be classified as delinquent? (Ch8) (Points : 12)

31.86%
18.14%
81.86%
63.72%
75.84%

 Question 18.18. The price-to-earning ratio for firms in a given industry is distributed according to normal distribution. In this industry, a firm with a standard normal variable value of Z=1: (Ch7) (Points : 12)

Has an above average price-to-earning ratio
Has an below average price-to-earning ratio
Has an average price-to-earning ratio
May have an average or below average price-to-earnings ratio

 Question 19.19. In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3 inches with a standard deviation of .3 inches. What is the 95% confidence interval for the true mean length of the bolt? (Ch9) (Points : 12)

2.904 to 3.396
2.308 to 3.692
2.412 to 3.588
2.770 to 3.231
2.884 to 3.086

 Question 20.20. The point estimate of the variance in a regression model is (Ch13) (Points : 12)

SSE
β(0)
β(1)
MSE

 Question 21.21. The mean life of pair of shoes is 40 months with a standard deviation of 8 months. If the life of the shoes is normally distributed, how many pairs of shoes out of one million will need replacement before 36 months? (Ch7) (Points : 12)

500,000
808,500
191,500
308,500

 Question 22.22. When determining the sample size, if the value found is not an integer initially, the next highest integer value will ____________ be chosen. (Ch9) (Points : 12)

Always
Sometimes
Never

 Question 23.23. The _______ of two events X and Y is another event that consists of the sample space outcomes belonging to  both event X and Y. (Ch5) (Points : 12)

Sample space outcome
Conditional Probability

Complement of events
Long-run relative frequency
Intersection

 Question 24.24. A multiple-choice test has 30 questions and each one has five possible answers, of which one is correct. If all answers were guesses, find the probability of getting exactly four correct answers. (Ch6) (Points : 12)

0.0604
0.1325
0.2552
0.8000

 Question 25.25. In a two-sided hypothesis test if the p value is less than the significance level alpha: (Ch10) (Points : 12)

His rejected
His not rejected
Hmay or may not be rejected depending on the sample size n
Additional information is needed and no conclusion can be reached about whether H0should be rejected

 Question 26.26. A standard normal distribution has a mean of _____ and standard deviation of _____.   (Ch7) (Points : 12)

Zero, Zero
Zero, One
One, One
One, Zero

 Question 27.27. The average customer waiting time at a fast food restaurant has been 7.5 minutes. The customer waiting time has a normal distribution. The manager claims that the use of a new system will decrease average customer waiting time in the store. What is the null and alternative hypothesis for this scenario? (Ch10) (Points : 12)

H0:µ =7.5 and HA: µ≠ 7.5
H0:µ ≤ 7.5 and HA: µ > 7.5
H0:µ ≥ 7.5 and HA: µ < 7.5
H0:µ <7.5 and HA: µ ≥ 7.5
H0:µ > 7.5 and HA: µ ≤ 7.5

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