Hypothesis Tests

CompetencyGiven a real-life application, develop a hypothesis test for a population parameter and its interpretation.InstructionsScenario (Information repeated for deliverable 01, 03, and 04)A major client of your company is interested in the salary distributions of jobs in the state of Minnesota that range from $25,000 to $200,000 per year. As a Business Analyst, your boss asks you to research and analyze the salary distributions. You are given a spreadsheet that contains the following information:A listing of the jobs by title The salary (in dollars) for each jobIn prior engagements, you have already explained to your client about the basic statistics and discussed the importance of constructing confidence intervals for the population mean. Your client says that he remembers a little bit about hypothesis testing, but he is a little fuzzy. He asks you to give him the full explanation of all steps in a hypothesis testing and wants your conclusion about a claim that the average salary for all jobs in the state of Minnesota is less than $65,000.Background information on the DataThe data set in the spreadsheet consists of 364 records that you will be analyzing from the Bureau of Labor Statistics. The data set contains a listing of several jobs titles with yearly salaries ranging from approximately $25,000 to $200,000 for the state of Minnesota.What to SubmitYour research and analysis should be presented on the Word document provided. All calculations and work should be provided on a separate Excel workbook that should be submitted to your boss as well.
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deliverable_4_questions.docx

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Salary
64,150
99,870
103,000
85,610
47,760
117,030
52,970
62,690
112,270
77,690
41,570
42,470
92,010
138,050
39,970
48,860
56,010
95,530
67,150
61,080
82,160
80,300
51,570
73,850
79,040
37,570
73,230
63,020
46,970
46,990
77,820
79,050
57,890
101,320
71,230
43,020
46,600
68,080
64,880
63,160
70,200
62,290
41,910
58,540
66,100
48,550
source: http://www.bls.gov/
60,660
46,530
65,460
38,570
77,020
37,470
42,560
48,530
76,160
73,260
54,360
67,480
82,570
58,630
75,860
36,650
57,590
58,710
40,600
59,650
43,790
35,070
134,890
69,320
70,550
118,780
129,520
81,640
103,110
101,250
58,970
75,400
79,730
76,000
89,730
51,670
64,220
65,640
85,110
42,760
65,680
34,490
60,340
68,290
75,060
44,800
61,210
45,850
90,280
72,270
44,610
69,990
77,140
59,700
45,880
49,280
93,100
60,860
53,230
78,570
102,480
83,100
50,070
57,530
47,920
52,820
38,450
54,440
60,910
60,370
60,980
75,790
89,830
78,330
66,250
56,110
91,480
59,180
88,700
46,100
79,070
57,460
58,320
42,190
73,020
48,760
78,600
66,160
73,710
51,920
59,230
56,670
37,040
68,410
42,110
80,210
37,260
84,550
118,800
61,250
66,230
29,350
69,490
75,230
50,050
69,860
49,590
46,790
63,170
68,030
56,880
88,320
58,520
48,200
58,250
46,110
50,090
61,620
53,980
42,690
59,690
90,080
59,660
97,620
32,220
56,220
63,070
84,260
73,700
53,150
69,700
82,080
75,050
49,790
82,450
54,130
67,470
57,380
57,580
62,210
74,990
77,140
71,420
105,090
58,220
51,310
85,780
53,180
95,250
41,700
87,480
45,990
58,180
63,450
60,720
61,460
49,730
58,140
54,980
70,360
63,480
114,090
42,830
82,900
54,340
59,040
65,910
66,570
62,840
41,270
71,340
59,470
41,940
67,230
72,710
77,480
112,490
57,230
63,840
124,920
45,830
98,820
64,450
57,700
53,270
78,580
51,210
65,770
95,800
60,120
50,010
46,580
43,350
58,870
46,160
46,410
53,150
95,550
45,660
38,030
55,680
37,560
62,590
59,110
57,150
106,490
82,280
110,620
81,290
59,630
106,870
69,470
75,110
49,330
72,420
47,550
80,060
115,660
72,980
45,420
37,880
54,820
45,700
88,560
58,860
127,730
70,570
53,390
78,840
106,710
102,460
73,560
58,840
69,560
190,620
63,770
87,540
41,170
53,250
56,790
69,590
89,190
74,300
55,050
40,540
62,370
61,110
47,710
58,050
89,580
67,820
99,240
56,750
45,000
61,760
104,950
78,720
59,410
63,510
56,580
60,630
56,520
74,240
38,800
56,640
35,370
47,440
74,460
53,290
66,240
34,160
54,150
56,660
92,070
115,240
55,530
62,690
103,370
60,750
66,840
48,010
48,680
69,300
37,720
72,830
73,680
61,750
53,450
72,100
90,620
102,840
58,390
55,730
67,900
58,030
61,020
61,920
68,080
55,890
84,400
63,110
43,440
60,810
64,700
61,700
42,500
55,470
104,300
60,730
98,540
90,730
70,080
82,470
52,550
64,600
59,080
58,300
59,520
Deliverable 04 Worksheet
1. Describe the 8 steps in the process for hypothesis testing. Explain the decision criteria for
rejecting the null hypothesis for both the p-value method and the critical value method.
Answer and Explanation:
Enter your step-by-step answer and explanations here.
The remaining problems refer to the following scenario:
A claim is made that the average salary for all jobs in Minnesota is less than $65,000. You
are going to test the claim using � = 0.05 and assume that your data is normally
distributed and the population standard deviation (ð??) is not known.
2. Write the null and alternative hypotheses symbolically and identify which hypothesis is the
claim. Then identify if the test is left-tailed, right-tailed, or two-tailed and explain why.
Answer and Explanation:
Enter your step-by-step answer and explanations here.
3. Identify and explain which test statistic you will use for your hypothesis test: z or t? Find
the value of the test statistic.
Answer and Explanation:
Enter your step-by-step answer and explanations here.
4. What is the critical value? Describe the rejection region.
Answer and Explanation:
Enter your step-by-step answer and explanations here.
5. Using the critical value approach, should you reject the null hypothesis or not reject the
null hypothesis? Explain. After making your decision, restate it in non-technical terms and
make a conclusion about the original claim.
Answer and Explanation:
Enter your step-by-step answer and explanations here.
6. Calculate the p-value for this hypothesis test, and state the hypothesis conclusion based
on the p-value. Does this match your results from the critical value method?
Answer and Explanation:
Enter your step-by-step answer and explanations here.

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