03 Jun Question Please complete problems 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Question
Please complete problems 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
For Exercises 14, answer the questions: (a) Is this a one- or two-tailed test? (b) What is the decision
rule? (c) What is the value of the test statistic? (d) What is your decision regarding H0? (e) What is the pvalue? Interpret it.
2. A sample of 36 observations is selected from a normal population. The sample mean is 12, and the
population standard deviation is 3. Conduct the following test of hypothesis using the .02 significance
level.
4. A sample of 64 observations is selected from a normal population. The sample mean is 215, and the
population standard deviation is 15. Conduct the following test of hypothesis using the .03 significance
level.
For Exercises 58: (a) State the null hypothesis and the alternate hypothesis. (b) State the decision rule.
(c) Compute the value of the test statistic. (d) What is your decision regarding H0? (e) What is the pvalue? Interpret it.
6. The waiting time for customers at MacBurger Restaurants follows a normal distribution with a mean
of 3 minutes and a standard deviation of 1 minute. At the Warren Road MacBurger, the qualityassurance department sampled 50 customers and found that the mean waiting time was 2.75 minutes.
At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?
8. At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, You
can average $80 a day in tips. Assume the population of daily tips is normally distributed with a
standard deviation of $3.24. Over the first 35 days she was employed at the restaurant, the mean daily
amount of her tips was $84.85. At the .01 significance level, can Ms. Brigden conclude that her daily tips
average more than $80?
10.
Given the following hypothesis:
Ho : u=400
H1:u does not equal 400
A random sample of 12 observations is selected from a normal population. The sample mean was 407
and the sample standard deviation 6. Using the .01 significance level:
a. State the decision rule.
b. Compute the value of the test statistic.
c. What is your decision regarding the null hypothesis?
12.The management of White Industries is considering a new method of assembling its golf cart. The
present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for
a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of
the sample was 2.7 minutes. Using the .10 level of significance, can we conclude that the assembly time
using the new method is faster?
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