A fitness app claims that after 3 months of their program, participants increase their muscle mass by at least 7 pounds. A study looked at 200 participants' mass before and after the program, with the results given to the left.

What is the null hypothesis to examine their claim? H₀: ____

What is the alternative hypothesis to examine their claim? H₁: ____

Which of the two hypotheses corresponds to the claim? _____

3.1 What is the sample mean of change in mass? ____

3.2 What is the sample standard deviation of the mass change? ____

3.3 What is the bound of the critical region, for = 0.05 ? _________

3.4 What is the test static for the mean change in mass? _____

3.5 Is the null hypothesis rejected? _____

3.6 Is the claim supported? _____

Participant number	Before program	After program	Mass change
1	141	141
2	191	194
3	206	204
4	136	149
5	186	199
6	166	171
7	151	150
8	151	159
9	156	164
10	186	185
11	131	146
12	201	189
13	136	145
14	176	184
15	151	150
16	166	166
17	181	184
18	181	196
19	206	194
20	111	124
21	146	144
22	136	130
23	151	143
24	156	159
25	151	150
26	141	142
27	161	175
28	206	210
29	156	163
30	191	190
31	191	184
32	131	133
33	171	184
34	131	138
35	191	179
36	131	131
37	181	194
38	171	183
39	201	200
40	131	149
41	111	124
42	176	192
43	206	219
44	136	139
45	171	192
46	186	187
47	191	197
48	151	153
49	141	129
50	156	166
51	201	189
52	191	194
53	151	167
54	116	105
55	191	182
56	141	132
57	131	149
58	136	142
59	191	188
60	121	132
61	206	201
62	131	151
63	121	125
64	136	143
65	146	146
66	206	213
67	166	162
68	196	193
69	191	212
70	141	138
71	186	196
72	141	161
73	191	195
74	191	180
75	141	137
76	156	171
77	141	139
78	126	130
79	121	137
80	181	191
81	151	166
82	201	191
83	131	128
84	126	145
85	146	163
86	191	210
87	146	147
88	171	180
89	146	156
90	126	143
91	131	132
92	166	183
93	136	129
94	156	147
95	186	193
96	206	210
97	181	170
98	146	140
99	181	175
100	206	222
101	146	168
102	116	108
103	171	172
104	141	132
105	161	153
106	166	161
107	196	214
108	136	155
109	136	139
110	126	115
111	161	181
112	141	157
113	206	221
114	191	199
115	111	114
116	161	151
117	136	126
118	181	196
119	186	193
120	206	206
121	201	203
122	181	193
123	181	177
124	141	156
125	146	140
126	116	115
127	191	184
128	121	119
129	116	114
130	116	117
131	156	157
132	116	133
133	171	176
134	166	158
135	136	135
136	146	134
137	151	151
138	136	146
139	121	131
140	136	137
141	146	163
142	201	219
143	201	205
144	136	132
145	186	174
146	176	171
147	191	208
148	181	169
149	116	134
150	206	214
151	171	170
152	181	188
153	141	159
154	171	187
155	116	111
156	136	148
157	166	169
158	186	194
159	186	175
160	146	145
161	171	193
162	136	138
163	161	182
164	156	173
165	136	151
166	111	115
167	161	160
168	166	170
169	166	177
170	126	131
171	176	195
172	166	175
173	191	192
174	136	128
175	161	181
176	121	141
177	136	125
178	146	161
179	151	162
180	176	196
181	116	134
182	121	116
183	131	126
184	156	148
185	136	127
186	121	141
187	131	134
188	141	143
189	166	170
190	171	178
191	186	187
192	156	177
193	181	173
194	161	177
195	131	122
196	181	192
197	186	203
198	121	118
199	186	196
200	151	172