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Q1) Consumer watchdog organization wishes to see whether Bank N in northern part of a state has higher default rate than Bank S in southern part of that same state. Researchers for group sample proportion of defaults on loans at both banks. Out of 100 loans for Bank N, they determine 30 have defaulted; out of 100 loans for Bank S, they find 20 have defaulted. Complete hypothesis test using a 5% level for risk with directional research hypothesis.
a) H0:
b) H1:
c) Critical Value: t =
d)Test Statistic (Show procedure.): t =
e) Decision on H0:
f) Conclusion on the problem:
2) Find out the probability that random variable having standard normal distribution is between .87 and 1.28?
Q2) Assume the daily change in price of stock is normally distributed with mean = .20 and standard deviation = .30. What price change is associated with 25th percentile? What Z score is associated with 25th percentile?
Based on the expected value of the lottery ticket, would you pay $1 for a ticket? Round the answer to 3 decimal places. Omit the "tiny_mce_markerquot; sign in your response.)
The area under the standard normal curve between 0 and 2 is twice the area under area between 0 and 1.
Find the sample mean and sample standard deviation for the amount of unspent money returned at the end of the day.
How would the General Counsel's decision in Part (b) change if the cost of selling the second suit were only $200,000? What if the cost were $900000?
What is the probability of making a Type II error if the population mean is 24,000 miles?
Suppose you bid $12000. What is the probability that your bid will be accepted?
Mean threshold values and standard deviations for the three groups are given below. Normal probability plots showed the three populations were well approximated by the Normal distribution.
The dimension is supposed to be 224 mm and the variability of the manufacturing process is unknown. Is there evidence that the mean dimension is not 224 mm?
You draw two cards from a standard deck of 52 cards, but before you draw the second card, you put the first one back and reshuffle the deck.
(a) Write the fitted regression equation, (c) What is your conclusion about the slope.
Perform a hypothesis test by using.04 level of significance to find out if there is a difference between the population means.
The mean number of passengers per flight is 160 with a standard deviation of 20. The aircraft used for the route has 200 seats.
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