> +-*5@ 0bjbj22 ,BXX(8H4|l(C0z(,,,///////$1R4b//,,/"""^8,,/"/"<"@"V)@~*,*m@)-00C0*xq4: lq4~*((q4~*""+?//((d!^((KFUPMTerm 041Date: 1/1/2005Mathematical SciencesSTAT 211Duration: 10 minutesQuiz# 8Name:ID#:Section#:Serial#:1. We want 95 percent confidence and will select a sample of 10 men and 10 women for some study. The sample results are:
Men Women
n1 = 10 students n2 = 10 students
EMBED Equation.3 = 2.7 hours EMBED Equation.3 = 2.4 hours
s1 = .30 hours s2 = .40 hours
Based on these data, the lower limit for the difference between population means is -.15 hr.
Answer: False
2. In a random sample of 126 families with two parents, 21 indicated that they had a computer with no Internet access. In a second sample of 70 families with one parent, 30 said that they had a computer but no Internet access. The 90% C.I. estimate for the difference in population proportions is [-0.3735, -0.1503].
Answer: True
3. A company has developed a device that can be attached to car engines that they believe will increase the miles per gallon that cars will get. The owners are interested in estimating the difference between mean mpg for cars using the device versus those that are not using the device. The following data represent the mpg for samples of cars from each population.
Without26.924.420.820.820.22628.125.6With device22.623.428.42929.320
Given this data, the critical value if the owners wish to have a 90% C.I. estimate is:
a. t = 2.015 b. t = 1.7823 c. z = 1.645 d. None of the above.
Answer: B
4. A random sample of 400 business school graduates showed that 75 had gone to graduate school while in a random sample of 500 non-business graduates, 137 had gone on to graduate school. Based on a 95% confidence level, the upper limit of the C.I. estimate?
a. 0.2340 b. 0.1034 c. -0.031 d. None of the above.
Answer: C
5. It is believed that males tend to favor the practice to a higher degree than do females. To test this, random samples of male fans and female fans were selected and the following results were obtained:
Male Fans Female Fans
Sample Size 300 100
Number Preferring 234 57
Construct a 90% confidence interval for the proportion difference of males and females?
With My Best Wishes
KFUPMTerm 041Date: 1/1/2005Mathematical SciencesSTAT 211Duration: 10 minutesQuiz# 8Name:ID#:Section#: 1 2 4 Serial#:Show your work in detail and write neatly and eligibly
1. Increasing the size of the samples in a study to estimate the difference between two population means will increase the level of confidence that a decision maker can have regarding the interval estimate.
Answer: False
2. A total of 188 homes responded to the survey question with 38 saying that they had a computer with no Internet access. The 95 percent confidence interval estimate for the true population proportion is approximately [0.1447, 0.2595].
Answer: True
3. A company has developed a device that can be attached to car engines, which they believe will increase the miles per gallon that cars will get. The following data represent the mpg for random samples of cars from each population.
Without26.924.420.820.820.22628.125.6With device22.623.428.42929.320Assuming unequal population variances, the upper limit for a 95 % C.I. estimate for the difference in mean mpg?
a. Approximately 3.88 mpg b. About 5.44 mpg
c. Just under 25.0 d. None of the above.
Answer: B
4. A company sampled 80 male customers and 100 female customers and found 6 complaints from male customers and 5 from females. Using a 95% confidence level, which of the following statements is true?
a. The confidence interval estimate ranges from approximately -0.0468 to 0.0968.
b. Based on the sample information, the shop owners cannot conclude that a difference exists between males and females in terms of proportion of complaints that are made.
c. Both a and b are true. d. Neither a nor b are true.
Answer: C
5. A maker of toothpaste is interested in testing whether the proportion of adults (over age 18) who use their toothpaste and have no cavities within a six-month period is any different than the proportion of children (18 and under) who use the toothpaste and have no cavities within a six-month period. The following results were observed.
Adults Children
Sample Size 100 200
Number with 0 cavities 83 165
Find a 99% C.I. estimate for the difference proportion between adults and children.
With My Best Wishes
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