University of Oklahoma Statistics Questions please check that picture which I uploaded and see if you can answer it thank you for your time 3:59 4G 64 Done

University of Oklahoma Statistics Questions please check that picture which I uploaded and see if you can answer it thank you for your time 3:59
4G 64
Done S-task-3_23eaa8706a2635e…
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Question#1:
15 Marks
The ranks of two sets of variables (Heights and Weights) are given below. Calculate the
Spearman rank difference correlation coefficient R.
Heights
2
6
8
4
7
4
9
4
1
9
Weights
9
1
9
4
5
9
2
7
6
3
Question#2:
12×5=10 Marks
(a) Find the probability that a standard normal variable takes on a value between -1.59 and 3.0.
Also draw its graph.
(b) An employee takes time of her trip from her home to office as normally distributed with a
mean of 21 minutes and a standard deviation of 7 minutes. What proportion of her trip takes
between 25 and 29 minutes? Draw the graph also.
Question #3:
13×5=15 Marks
(a) A researcher reports that the average salary of a professor is more than 24000 RO. A sample
of 36 professors has a mean salary of 25000 RO. The standard deviation of the population is
2500 RO. At a = 10% test the claim that professor earns more than 24000 RO per annum.
(b) A shoe making company claims that the average cost of men’s athletic shoes is less than 200
RO. A sample of 30 pairs of shoes has a mean cost of 205 RO. Standard deviation of is 250
RO. At a = 0.05 test the claim that the cost of the shoes is less than 200 RO.
(c) A local hospital doctor’s team reports that the average cost of treatment of heart disease is 800
RO. To see if the average cost of treatment is different at a particular hospital, a researcher
selected a random sample of 40 patients and found that the average cost of treatment is 400
RO. The standard deviation of the population is 350 RO. At a = 0.05 test the claim of the
hospital doctors.
*** END OF EXAM***
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