Mathematics :Statistics and Probability Assignment

Mathematics :Statistics and Probability Assignment

Subject: Mathematics    / Statistics
Question
1. An employed information service claims that the mean annual pay for a full time male worker
over age 25 and without a high school diploma is @22,300. The annual pay for a random sample
of 10 full time male workers without a high school diploma is listed. At alpha = 0.05 test the
claim that the mean salary is $22,300.
20,654 21,328, 22355 22795 16,912 19,156 23,193 24,180 26,285
2. A microwave oven repairer says that the mean repair cost for damaged microwave oven is less
than $100. You work for the repairer and ask to test this claim. You find a random sample of five
microwave ovens has a mean repair cost of $75 and a standard deviation of $12.50. At alpha
=0.01 do you have enough evidence to support the repair’s claim. 3. An environmentalist estimates that the mean waste recycled by adults in the United States is
more than 1 pound per person per day. You want to test this claim. You find that the mean
waster recycled per person per day for a random sample of 12 adults in the United States is s1.2
pounds and the standard deviation is 0.3 pounds at alpha =0.07 can you support this claim.
4. The ages of eight cows (in years) and their milk production (in gallons) per week
Ages (x)
Milk production 4
4
6
7
7
8
10 11
37.0 35.4 33.3 33.1 32.3 33.7 30.2 29.6 Calculate the correlation effect 5. A large appliance company estimates that the varieties of the life of its appliances is 3. You work
for a consumer advocacy group and are asked to test this claim. You find that a random sample
of their lives of 27 of the company’s appliances has a variance of 2.8. At alpha =0.10 do you have
enough evidence to reject the company’s claim? 6. Find the standard normal probability
a. P(Z is greater than -2.10)
b. P(Z is less than 3.22)
c. P(-2.33 is less than Z is less than 2.33)
d. P(Z is less than -1.75 or Z is greater than -0.75)