Question 1
A country report claims that the mean monthly expenses for a family of 4 is US$2,500
per month. You believe that the mean cost is more than US$2,500 per month. You
randomly selected a sample of 300 families of 4 and found out the mean cost is US$2,750
with a standard deviation of $350. Assuming that the population is normally distributed,
test, at the 10% level of significance, whether the report is underestimating the mean
monthly expenses for a family of 4, by answering the following:
(a) State the null and alternative hypotheses for the test.
(b) Calculate the test statistics.
(c) Determine the rejection region(s) for the test.
(d) State the conclusion for the test giving reasons for your answer.
Question 2
Six months after graduating from college, randomly selected graduates were surveyed to
determine their level of job pressure. The data was inputted into MINITAB Version 17.0
for analysis to determine whether level of job pressure is independent of gender. The
following output, Exhibit 1, was generated using MINTAB:
Page 29 of 31
Exhibit 1
Chi-Square Test for Association: Age (years), Degree of Job
Pressure
Rows: Age (Years) Columns: Degree of Job Pressure
Low Medium High All
Less than 20 22 18 24 64
20.84 21.58 *
0.06424 0.59346 0.27173
20 - 39 52 48 46 146
47.55 49.23 49.23
0.41687 0.03054 **
40 - 59 60 65 61 186
60.57 62.71 62.71
0.00545 0.08343 0.04677
60 and Above 36 45 45 126
41.03 42.48 42.48
0.61768 0.14915 0.14915
All 170 176 176 522
Cell Contents: Count
Expected count
Contribution to Chi-square
Chi-Square = 2.640, DF = ***, P-Value = 0.852
(a) State the null and alternative hypotheses for the test.
(b) Determine the missing values “*”, “**” and “***”.
(c) State the conclusion for the test giving reasons for your answer.
Solution Preview
This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.
2)
A) H₀:μ₁=μ₂=μ₃=μ₄;
Ha:μ₁≠μ₂≠μ₃≠μ₄
B) The summation of the expected counts for this test are approximately equal to the summation of the counts for each row. So for *: 20.84+21.58+*=64, where *=21.58.
The summation of the contributions to Chi-square can be calculated to find the missing value. So for **: .06424+.59346+.27173+.41687+.03054+**+.00545+.08343+.04677+.61768+.14915+.14915=2.64, where **=.21153...
This is only a preview of the solution. Please use the purchase button to see the entire solution
$15.00 for this solution
Sorry, there was an error processing your request
Sorry, there was a problem with your payment. Please try again or try another payment method.
PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.
Please let us know the date by which you need help from your tutor or the date and time you wish to have an online tutoring session.
Request Speed
Normal response time: Our most experienced, most successful tutors are provided for maximum expertise and reliability.
Fast response time: Used only for emergencies when speed is the single most important factor.
Why do we ask for this?
We require your email address so that we can send you an email alert when the tutor responds to your message.
We respect your privacy. Your email address will not be used for any other purpose.
You may read our privacy policy for more info.
Please use a personal email address
Please use an email address that does not end in .edu.
This is not a free service
You will get a negotiable price quote with no obligation.
Homework Due Date
Please let us know the date by which you need help from your tutor or the date and time you wish to have an online tutoring session.
Request Speed
Normal response time: Our most experienced, most successful tutors are provided for maximum expertise and reliability.
Fast response time: Used only for emergencies when speed is the single most important factor.
Why do we ask for this?
We require your email address so that we can send you an email alert when the tutor responds to your message.
We respect your privacy. Your email address will not be used for any other purpose.
You may read our privacy policy for more info.
This is not a free service
You will get a negotiable price quote with no obligation.
Homework Library
Warning: If you try using the HL in an unethical manner, expect to fail your class. All HL items are old, recycled materials and are therefore not original. We intend them to be used only for the purpose of studying and learning.