Q1. For each of the following claims, mention what type of test should be used (one-tail, two-tail) and set up the null and alternate hypothesis. Consider that the critical value is = CV (for example

Q1.

For each of the following claims, mention what type of test should be used (one-tail, two-tail) and set up the null and alternate hypothesis.

Consider that the critical value is = CV (for example 1.96 retrieved from the z-table). For each H0, mentioned the critical (acceptance) range.

a) The Animal Shelter claims that they have more than 99% occupancy.

Type of Test [A]

Ho: [B] Ha: [C]

b) The 99 Cents Store claims that their daily profit is at most $1000.

Type of Test [D]

Ho: [E] Ha: [F]

c) A chemist invents an additive to increase the life of an automobile battery. The mean lifetime of the automobile battery with the additive will be greater than 36 months.

Type of Test [G]

Ho: [H] Ha: [I]

Q2.

A supplier manufactures rubber baby buggy bumpers for the bumper cars. A random sample of 256 bumpers is taken and the sample mean life is 3.5 years with a standard deviation of .5 years. The law requires 95% confidence of operation when scheduling bumper replacement.

What are a) the lower-limit [A] and

b) the upper-limit [B]

of the two-sided confidence interval?

Q3.

A researcher wishes to test the claim that the average cost of tuition and fees at a 4-year college at least $6000. She selects a random sample of 49 colleges and finds the mean to be $5885. The population standard deviation is $250. Is there evidence to support the claim at α = .02?

For your answer include: a) Ho [A] b) Ha [B] c) type of test [C] d) Critical value [D] e) z-value [E] f) decision (fail to or reject Ho) [F]

Q4.

An educator claims that the average salary of substitute teachers in Pennsylvania is at most $160 per day. A random sample of nine school districts is selected, and the daily salaries are shown. Is there evidence to support the claim at α = .05?

148 156 166 155 170 151 158 149 60

Note: For the above set of data, you need to use excel and compute the average and standard dev.

Xbar = [A] Stdev = [B] Ho = [C] Ha = [D] Type of test: [E] Critical value: [F] t-value: [G] Decision: [H]

Q5.

Are these amusement park rides equal in terms of monetary revenue? Test at α = .01 significance level.

Tornado: Average daily revenue = $300.00; standard deviation = 45.0; n = 12

Double Blizzard: Average daily revenue = $320.00; standard deviation = 38.0; n = 17

Your answer should include:

a) df = [A] b) type of test [B] c) critical value [C] d) t-value [D] e) Decision [E]

Q6

IMAGE IN ATTCHMENT

Your answer should address interpretations of the following:

a) r [A]b)p-value [B]c) F-value [C]d)regression equation [D]