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Q1. A small bank has two cashiers dealing with customers wanting to withdraw or deposit cash. For each cashier, the time to deal with a customer is a random variable having a normal distribution with mean 150s and standard deviation 45s.
A. Find the probability that the time taken for a randomly chosen customer to be dealt with by a cashier is more than 180s.
B. One of the cashier deals with two customers, one straight after the other.
1. An LU professor is interested in whether there is a difference between undergraduate students and graduate students in the amount of time spent praying each day. The professor gathers information from random samples of undergraduate and graduate students on the LU campus. The amount of time praying is normally distributed and is measured on an interval/ratio scale.
Graduate Undergraduate
15 9
17 11
10 9
13 6
11 5
17 6
a. What statistical test should be used to analyze the data?
b. Is this a one- or two tailed test?
c. Identify H0 and Ha for this study.
d. Conduct the appropriate analysis. Should H0 be rejected?
A random sample of 90 students at a private high school is tested and a mean SAT score of 1030 is obtained. The average score for public high school student is 1000 (σ= 200).
Compute Z obt
3. A researcher hypothesizes that people who listen to music via headphones have greater hearing loss and will thus score lower on a hearing test than those in the general population. On a standard hearing test, the overall mean for the general population is 22.5. The researcher gives this same test to a random sample of 12 individuals who regularly use headphones. Their scores on the test are 15, 14, 20, 20, 25, 22, 21, 19, 16, 17, 21, 22.
c. What are H0 and Ha for this study?
d. Compute t obt
e. Should H0 be rejected? What should the researcher conclude?
A researcher hypothesized that the pulse rates of long-distance athletes differ from those of other athletes. He believed that the runners’ pulses would be slower. He obtained a random sample of 10 long-distance runners. He measured their resting pulses. Their pulses were 45, 45, 64, 50, 58, 49, 47, 55, 50, 52 beats per minute. The average resting pulse of athletes in the general population is normally distributed with a pulse rate of 60 beats per minute.
c. What are H0 and Ha for this study?
d. Find tcv from appendix A in Jackson’s text.
e. Compute t obt
f. Should H0 be rejected? What should the researcher conclude?
1. A researcher is interested in whether students who attend private high schools have higher average SAT Scores than students in the general population. A random sample of 90 students at a private high school is tested and and a mean SAT score of 1030 is obtained. The average score for public high school student is 1000 (σ= 200).
b. What are H0 and Ha for this study?
c. Compute Z obt
d. What is the Z critical value (Z cv ) using a 0.05 alpha level?
e. Should H0 be rejected? What should the researcher conclude?
f. Determine the 95 % confidence interval for the population mean, based on the sample mean.
Given that x=2 and y= -3,calculate the value of xy2
2zy/y2=14/y
2 - s when s = -2
If one of the zeroes of the polynomial 5x2 + 13x +k is reciprocal of the other, then
find the value of k.
