Is there a significant difference between the average sales of large and small firms? Use 5% level of significance. 1. What is the null hypothesis?

a. The average sales of large firms is greater than that of the small firms."

b. The average sales of large and small firms are not significantly different."

c. "The average sales of large and small firms are significantly different."

d."The average sales of large firms is equal to or greater than that of the small firms."]

2. What is the appropriate statistical test?

a."two-tailed pooled variance t-test"

b. "two-tailed separate variance t-test",

c. "one-tailed paired t-test"

d. "one-tailed z-test"

3. What is the test statistic value?

a."13",

b. "28",

c."15",

d."3"]

4. What is the p-value?

a. "0.8675

b. 0.4988

c. 0.0008

d. 0.0001"]

5. What is the decision?

a. Do not reject the alternative hypothesis.

b. Reject the null hypothesis

c. Do not reject the null hypothesis

d. Reject the alternative hypothesis."]

6. What is the conclusion?

a. The average sales of large and small firms are equal

b. The average sale of large firms is greater than or equal to that of small firm

c. There is no significant difference between the average sales of large and small

firms.

d. There is a significant difference between the average sales of large and small firms."]

7. Are the variances of the sales of large and small firms equal?

a. less than

b. equal

c. greater than

d. not equal

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Market	TV	Radio	Newspaper	Sales	Type	FirmSize
1	1	230.1	37.8	69.2	22.1	1	1
2	2	44.5	39.3	45.1	10.4	2	0
3	3	17.2	45.9	69.3	9.3	1	0
4	4	151.5	41.3	58.5	18.5	3	1
5	5	180.8	10.8	58.4	12.9	3	1
6	6	8.7	48.9	75	7.2	1	0
7	7	57.5	32.8	23.5	11.8	2	0
8	8	120.2	19.6	11.6	13.2	3	1
9	9	8.6	2.1	1	4.8	2	0
10	10	199.8	2.6	21.2	10.6	2	1
11	11	66.1	5.8	24.2	8.6	1	0
12	12	214.7	24	4	17.4	3	1
13	13	23.8	35.1	65.9	9.2	2	0
14	14	97.5	7.6	7.2	9.7	3	0
15	15	204.1	32.9	46	19	1	1
16	16	195.4	47.7	52.9	22.4	1	1
17	17	67.8	36.6	114	12.5	2	0
18	18	281.4	39.6	55.8	24.4	2	1
19	19	69.2	20.5	18.3	11.3	3	0
20	20	147.3	23.9	19.1	14.6	1	1
21	21	218.4	27.7	53.4	18	2	1
22	22	237.4	5.1	23.5	12.5	1	1
23	23	13.2	15.9	49.6	5.6	1	0
24	24	228.3	16.9	26.2	15.5	2	1
25	25	62.3	12.6	18.3	9.7	3	0
26	26	262.9	3.5	19.5	12	1	1
27	27	142.9	29.3	12.6	15	2	1
28	28	240.1	16.7	22.9	15.9	3	1
29	29	248.8	27.1	22.9	18.9	1	1
30	30	70.6	16	40.8	10.5	1	0
31	31	292.9	28.3	43.2	21.4	2	1
32	32	112.9	17.4	38.6	11.9	2	1
33	33	97.2	1.5	30	9.6	3	0
34	34	265.6	20	0.3	17.4	3	1
35	35	95.7	1.4	7.4	9.5	1	0
36	36	290.7	4.1	8.5	12.8	2	1
37	37	266.9	43.8	5	25.4	3	1
38	38	74.7	49.4	45.7	14.7	3	0
39	39	43.1	26.7	35.1	10.1	2	0
40	40	228	37.7	32	21.5	1	1
41	41	202.5	22.3	31.6	16.6	1	1
42	42	177	33.4	38.7	17.1	1	1
43	43	293.6	27.7	1.8	20.7	2	1
44	44	206.9	8.4	26.4	12.9	2	1
45	45	25.1	25.7	43.3	8.5	3	0
46	46	175.1	22.5	31.5	14.9	3	1
47	47	89.7	9.9	35.7	10.6	3	0
48	48	239.9	41.5	18.5	23.2	3	1
49	49	227.2	15.8	49.9	14.8	2	1
50	50	66.9	11.7	36.8	9.7	2	0
51	51	199.8	3.1	34.6	11.4	2	1
52	52	100.4	9.6	3.6	10.7	1	1
53	53	216.4	41.7	39.6	22.6	1	1
54	54	182.6	46.2	58.7	21.2	1	1
55	55	262.7	28.8	15.9	20.2	3	1
56	56	198.9	49.4	60	23.7	3	1
57	57	7.3	28.1	41.4	5.5	3	0
58	58	136.2	19.2	16.6	13.2	2	1
59	59	210.8	49.6	37.7	23.8	2	1
60	60	210.7	29.5	9.3	18.4	2	1
61	61	53.5	2	21.4	8.1	1	0
62	62	261.3	42.7	54.7	24.2	1	1
63	63	239.3	15.5	27.3	15.7	1	1
64	64	102.7	29.6	8.4	14	2	1
65	65	131.1	42.8	28.9	18	1	1
66	66	69	9.3	0.9	9.3	2	0
67	67	31.5	24.6	2.2	9.5	1	0
68	68	139.3	14.5	10.2	13.4	2	1
69	69	237.4	27.5	11	18.9	3	1
70	70	216.8	43.9	27.2	22.3	2	1
71	71	199.1	30.6	38.7	18.3	3	1
72	72	109.8	14.3	31.7	12.4	2	1
73	73	26.8	33	19.3	8.8	3	0
74	74	129.4	5.7	31.3	11	2	1
75	75	213.4	24.6	13.1	17	1	1
76	76	16.9	43.7	89.4	8.7	1	0
77	77	27.5	1.6	20.7	6.9	1	0
78	78	120.5	28.5	14.2	14.2	1	1
79	79	5.4	29.9	9.4	5.3	1	0
80	80	116	7.7	23.1	11	2	1
81	81	76.4	26.7	22.3	11.8	2	0
82	82	239.8	4.1	36.9	12.3	2	1
83	83	75.3	20.3	32.5	11.3	2	0
84	84	68.4	44.5	35.6	13.6	2	0
85	85	213.5	43	33.8	21.7	2	1
86	86	193.2	18.4	65.7	15.2	1	1
87	87	76.3	27.5	16	12	1	0
88	88	110.7	40.6	63.2	16	1	1
89	89	88.3	25.5	73.4	12.9	1	0
90	90	109.8	47.8	51.4	16.7	1	1
91	91	134.3	4.9	9.3	11.2	1	1
92	92	28.6	1.5	33	7.3	3	0
93	93	217.7	33.5	59	19.4	3	1
94	94	250.9	36.5	72.3	22.2	3	1
95	95	107.4	14	10.9	11.5	3	1
96	96	163.3	31.6	52.9	16.9	3	1
97	97	197.6	3.5	5.9	11.7	2	1
98	98	184.9	21	22	15.5	2	1
99	99	289.7	42.3	51.2	25.4	2	1
100	100	135.2	41.7	45.9	17.2	1	1
101	101	222.4	4.3	49.8	11.7	1	1
102	102	296.4	36.3	100.9	23.8	1	1
103	103	280.2	10.1	21.4	14.8	2	1
104	104	187.9	17.2	17.9	14.7	2	1
105	105	238.2	34.3	5.3	20.7	2	1
106	106	137.9	46.4	59	19.2	3	1
107	107	25	11	29.7	7.2	2	0
108	108	90.4	0.3	23.2	8.7	3	0
109	109	13.1	0.4	25.6	5.3	2	0
110	110	255.4	26.9	5.5	19.8	1	1
111	111	225.8	8.2	56.5	13.4	2	1
112	112	241.7	38	23.2	21.8	1	1
113	113	175.7	15.4	2.4	14.1	2	1
114	114	209.6	20.6	10.7	15.9	1	1
115	115	78.2	46.8	34.5	14.6	2	0
116	116	75.1	35	52.7	12.6	3	0
117	117	139.2	14.3	25.6	12.2	2	1
118	118	76.4	0.8	14.8	9.4	2	0
119	119	125.7	36.9	79.2	15.9	3	1
120	120	19.4	16	22.3	6.6	2	0
121	121	141.3	26.8	46.2	15.5	3	1
122	122	18.8	21.7	50.4	7	2	0
123	123	224	2.4	15.6	11.6	1	1
124	124	123.1	34.6	12.4	15.2	1	1
125	125	229.5	32.3	74.2	19.7	2	1
126	126	87.2	11.8	25.9	10.6	2	0
127	127	7.8	38.9	50.6	6.6	3	0
128	128	80.2	0	9.2	8.8	3	0
129	129	220.3	49	3.2	24.7	1	1
130	130	59.6	12	43.1	9.7	2	0
131	131	0.7	39.6	8.7	1.6	3	0
132	132	265.2	2.9	43	12.7	3	1
133	133	8.4	27.2	2.1	5.7	2	0
134	134	219.8	33.5	45.1	19.6	1	1
135	135	36.9	38.6	65.6	10.8	1	0
136	136	48.3	47	8.5	11.6	2	0
137	137	25.6	39	9.3	9.5	3	0
138	138	273.7	28.9	59.7	20.8	3	1
139	139	43	25.9	20.5	9.6	2	0
140	140	184.9	43.9	1.7	20.7	1	1
141	141	73.4	17	12.9	10.9	1	0
142	142	193.7	35.4	75.6	19.2	2	1
143	143	220.5	33.2	37.9	20.1	3	1
144	144	104.6	5.7	34.4	10.4	3	0
145	145	96.2	14.8	38.9	11.4	2	0
146	146	140.3	1.9	9	10.3	1	1
147	147	240.1	7.3	8.7	13.2	1	1
148	148	243.2	49	44.3	25.4	1	1
149	149	38	40.3	11.9	10.9	1	0
150	150	44.7	25.8	20.6	10.1	2	0
151	151	280.7	13.9	37	16.1	2	1
152	152	121	8.4	48.7	11.6	3	1
153	153	197.6	23.3	14.2	16.6	3	1
154	154	171.3	39.7	37.7	19	3	1
155	155	187.8	21.1	9.5	15.6	2	1
156	156	4.1	11.6	5.7	3.2	1	0
157	157	93.9	43.5	50.5	15.3	1	0
158	158	149.8	1.3	24.3	10.1	2	1
159	159	11.7	36.9	45.2	7.3	3	0
160	160	131.7	18.4	34.6	12.9	3	1
161	161	172.5	18.1	30.7	14.4	2	1
162	162	85.7	35.8	49.3	13.3	1	0
163	163	188.4	18.1	25.6	14.9	1	1
164	164	163.5	36.8	7.4	18	2	1
165	165	117.2	14.7	5.4	11.9	3	1
166	166	234.5	3.4	84.8	11.9	1	1
167	167	17.9	37.6	21.6	8	1	0
168	168	206.8	5.2	19.4	12.2	2	1
169	169	215.4	23.6	57.6	17.1	2	1
170	170	284.3	10.6	6.4	15	3	1
171	171	50	11.6	18.4	8.4	3	0
172	172	164.5	20.9	47.4	14.5	1	1
173	173	19.6	20.1	17	7.6	1	0
174	174	168.4	7.1	12.8	11.7	1	1
175	175	222.4	3.4	13.1	11.5	2	1
176	176	276.9	48.9	41.8	27	2	1
177	177	248.4	30.2	20.3	20.2	2	1
178	178	170.2	7.8	35.2	11.7	3	1
179	179	276.7	2.3	23.7	11.8	3	1
180	180	165.6	10	17.6	12.6	3	1
181	181	156.6	2.6	8.3	10.5	3	1
182	182	218.5	5.4	27.4	12.2	3	1
183	183	56.2	5.7	29.7	8.7	2	0
184	184	287.6	43	71.8	26.2	2	1
185	185	253.8	21.3	30	17.6	1	1
186	186	205	45.1	19.6	22.6	2	1
187	187	139.5	2.1	26.6	10.3	1	1
188	188	191.1	28.7	18.2	17.3	2	1
189	189	286	13.9	3.7	15.9	1	1
190	190	18.7	12.1	23.4	6.7	1	0
191	191	39.5	41.1	5.8	10.8	3	0
192	192	75.5	10.8	6	9.9	2	0
193	193	17.2	4.1	31.6	5.9	1	0
194	194	166.8	42	3.6	19.6	2	1
195	195	149.7	35.6	6	17.3	3	1
196	196	38.2	3.7	13.8	7.6	2	0
197	197	94.2	4.9	8.1	9.7	1	0
198	198	177	9.3	6.4	12.8	2	1
199	199	283.6	42	66.2	25.5	2	1
200	200	232.1	8.6	8.7	13.4	1	1