Question

Months	Sales	LastRate	Location
398	290	8	Suburban
45	243	9	Urban
25	289	6.5	Urban
378	207	4.5	Rural
64	275	6	Rural
373	275	5.5	Urban
41	209	6	Urban
84	265	9	Urban
27	290	8	Suburban
36	319	7	Urban
99	327	7.5	Suburban
68	154	6.5	Suburban
18	356	5.5	Urban
29	321	6.5	Urban
28	307	7.5	Suburban
45	213	6.5	Suburban
122	273	5.5	Suburban
51	239	4.5	Suburban
24	259	6	Rural
48	250	7	Suburban
78	319	7	Urban
111	295	10	Urban
89	237	7	Suburban
427	334	7	Suburban
84	172	4.5	Urban
28	260	5.5	Urban
94	221	4.5	Urban
146	289	4	Urban
45	329	7.5	Urban
79	314	6.5	Suburban
22	298	7.5	Suburban
155	213	7.5	Urban
83	219	5	Suburban
77	193	5.5	Urban
39	282	5	Urban
310	223	7	Urban
51	294	7	Rural
73	303	7	Urban
197	214	5	Suburban
328	193	5	Urban
81	144	6	Urban
419	256	6.5	Suburban
83	178	4	Suburban
271	252	5.5	Urban
253	232	6.5	Suburban
102	309	5.5	Suburban
359	291	6	Urban
119	185	3	Suburban
133	216	8	Rural
25	314	5	Suburban
50	284	6	Suburban
56	307	9	Urban
27	300	3.5	Urban
47	199	7	Urban
86	342	8.5	Suburban
53	219	5.5	Suburban
35	193	6.5	Suburban
80	243	8	Urban
82	204	9	Suburban
90	192	6.5	Rural
61	168	6	Suburban
32	251	7	Suburban
20	210	5.5	Suburban
307	272	7	Urban
58	335	9.5	Suburban
72	274	1.5	Rural
66	333	7	Urban
74	263	7.5	Rural
44	297	4	Urban
31	238	9	Rural
113	191	3.5	Urban
130	323	8.5	Rural
110	298	6.5	Suburban
12	245	6.5	Rural
88	225	5.5	Suburban
49	165	6	Urban
13	262	7.5	Urban
41	242	5	Suburban
120	260	6	Rural
33	162	4.5	Urban
25	165	6.5	Rural
29	233	6	Suburban
265	263	6	Suburban
55	187	3.5	Urban
25	297	7.5	Suburban
77	337	7	Suburban
49	316	6.5	Urban
44	213	6	Suburban
82	169	7	Rural
108	240	10	Rural
73	259	8	Rural
102	305	6	Suburban
11	241	4.5	Suburban
39	218	6.5	Urban
6	294	4	Suburban
130	196	5.5	Suburban
130	273	5.5	Urban
12	178	5	Suburban
45	171	4.5	Urban
338	342	7.5	Urban

A one-sample hypothesis involves comparing a sample statistic to a hypothesized value using a standard error. You can predict the results of a test by inspecting a histogram of your data. For the following hypotheses, you could conduct the complete test. However, the results for this test are conclusive enough that you could answer the question just from looking the appropriate graph(s).

Data: Sales Associate Audit, n = 100

Hypotheses:

H0: μMonths = 240

H1: μMonths ≠ 240

Which of the following conclusions is correct?

• The sample mean is FAR from the hypothesized value. Given this sample size, this is very STRONG evidence against the null.

• The sample mean is very CLOSE to the hypothesized value. Given this sample size, this is very STRONG evidence against the null.

• The sample mean SUPPORTS this one-tailed hypothesis. The rejection zone and sample mean are on opposite sides. No test is necessary.

• The sample mean is very CLOSE to the hypothesized value. Given this sample size, this is very WEAK evidence against the null.

• The sample mean is FAR from the hypothesized value. Given this sample size, this is very WEAK evidence against the null.

Answer 1

df = n-1

= 99

p-value ~ 0 < 0.05(assumed significance level) i.e. we can reject H0.

Hence the correct option would be:

The sample mean is FAR from the hypothesized value. Given this sample size, this is very STRONG evidence against the null.

Please upvote if you have liked my answer, would be of great help. Thank you.