A study was conducted to explore the prevalence and impact of sleep problems on various aspects of people's lives. Staff from a university in Melbourne, Australia were invited to complete a questionnaire containing questions about their sleep behaviour (e.g. hours slept per night), sleep problems (e.g. difficulty getting to sleep) and the impact that these problems have on aspects of their lives (work, driving, relationships). The sample consisted of 271 respondents (55% female, 45% male) ranging in age from 18 to 84 years (M=43.9yrs). A student researcher is interested in examining whether the participants in the study sleep for 8 hours a night, the recommended average for adults.

id sex age weight height sleep

83 0 42 52 162 9

294 0 54 65 174 7

425 1 89 170 8

64 0 41 66 178 8

536 0 39 62 160 7.5

57 0 66 62 165 8

251 0 36 62 165 8

255 0 35 75 174 7

265 1 90 180 8

290 1 41 75 187 7

418 1 70 7.5

95 1 78 178 8

77 0 33 67 158 6.5

203 0 80 172.5 8

413 0 24 56 162 9

69 0 24 49 165 10

277 0 35 50 153 8

401 1 28 75 170 7

7 1 19 60 176 8.5

12 1 31 7

50 1 72 173 7

67 1 95 192 8

218 0 41 75 170 8

245 1 45 89 175 8

258 0 23 68 178 7

291 0 48 162.5 7

2 1 62 90 188 8

40 1 94 185 7.5

51 1 70 179 8

26 1 63 174

249 1 21 9

410 1 27 82 185 7

513 0 31 67 165 8

525 1 26 80 180 6

47 1 25 75 180 10

63 1 59 75 182 6.5

68 1 44 90 174 7

207 1 56 171 8

302 1 56 75 180 8.5

409 1 75 176 8

412 0 35 56 163 8

535 0 48 64 172 8

62 0 59 80 173 8

70 0 42 50 165 7

252 0 66 160 5

406 1 29 74 170 8

527 0 18 58 157 7

79 0 48 60 165 2

213 0 37 59 165 8

417 0 84 63 165 6

517 0 69 75 163 6

541 0 37 63 158 10

65 1 80 183 7

24 1 63 7

55 0 43 7

216 0 42 8

261 0 50 55 152.5 8

408 0 47 68 160 9

13 1 35 70 180 6

20 1 63 82 182 6.5

263 0 52 100 172 8

32 0 49 80 160 7

247 0 19 63 156 10

532 0 29 43 155 7

23 0 53 57 158 7

220 1 57 185.5 8

246 0 70 152 9

280 0 56 55 152.5 8

285 0 37 53 168 8

403 1 30 75 170 8

15 1 51 110 180 6.5

85 0 34 61 167 8

204 1 66 82 180 9

212 0 45 67 170 9

404 0 57 162.5 4

507 1 54 84 178 7

538 0 45 65 157 8

17 0 42 50 159 8

48 0 38 47 160 9

97 1 36 88 177 7

270 0 38 48 163 8

272 1 75 183 7

281 0 32 53 157 8

508 1 63 74.5 7

202 1 54 85 183 9

268 1 28 67 173 6

278 0 34 60 168 7.5

293 0 58 75.6 165 6

301 0 55 76 165 7

414 1 68 75 6

534 1 59 77 177 8

1 1 66 78 170 8

5 1 36 67 165 7

10 1 49 110 180 7

22 0 33 60 160 9

46 0 43 70 154 8

52 0 44 79 163 7

60 1 60 80 180 8

96 1 42 79 179 7.5

228 0 48 52 162 7

237 1 40 94 192.5

300 1 48 82 180 8

407 1 68 164 8

512 0 27 58 156 8

9 1 35 95 187 6

21 0 58 63 160 7

29 0 50 65 168 7

39 0 41 75 163 8

71 0 32 65 165 7

80 1 57 77 178 7

81 1 49 80 199 8

86 1 47 73 175 7

98 0 25 8

250 0 25 62 165 8

259 0 35 61 165 8

282 0 51 63 165 9

292 0 58 80 168 8

523 1 46 8

34 1 79 172 8

215 1 53 72 175 8

241 0 39 8

266 0 46 60.3 162.5 8

275 0 65 53 8

298 1 90 190 8

411 0 40 63 163 7

509 0 40 66 170 8

6 0 47 98 173 7

8 0 48 52 163 8

16 0 49 65 170 8

18 0 70 175 8

41 1 47 74 183 8

59 0 35 69 170 8

76 1 52 98 168 8

88 1 26 74 184 10

92 1 42 82 175 9

93 1 57 90 183 8

210 1 43 73 172.5 8

214 1 41 8

222 1 48 84 185 8

229 1 55 76 188 8

232 0 47 67 172 8

243 1 52 76 180 6

257 1 24 87 192 7

400 0 44 63 165 8

420 0 56 98 165 6

422 1 23 84 178 8

521 0 59 80 158 7

528 1 38 78 180 7

36 1 89 194 7

78 0 46 68 155 8

91 1 26 8

211 0 44 64 152.5 8

227 1 95 170 5.5

242 1 27 97 175 8.5

531 1 47 120 188 6

546 0 48 53 163 7

61 1 27 105 182 10

405 0 32 58 8

53 1 25 9

269 1 83 180 7

426 1 66 93 189 5.5

529 1 30 75 178 7

35 0 39 72 160 9

200 0 42 48 158 8

236 0 58 52 8

424 1 62 160 178 9

287 0 33 73 167.5 8

75 1 34 72 182 8

209 0 26 60 164 9

234 1 19 78 178 7

240 0 31 100 157.5 10

416 1 26 86 188 9.5

37 1 35 73 172 8

84 1 21 60 10

239 0 30 70 160 7

515 0 32 54 158 10

25 1 36 87 188 7

87 1 22 10

530 0 29 80 168 8

421 0 22 71 170 8.5

522 0 31 72 175 8.5

526 0 23 70 165 6.5

33 1 34 83 178 8

539 0 28 60 160 9

38 0 23 75 153 6.5

89 1 22 85 186 8

402 1 35 85 185

542 1 30 77 187 8

94 0 30 60 165 8

296 0 36 56 165 8

4 1 26 89 183 9

516 1 35 85 183 7.5

544 1 32 95 193 8

27 1 27 75 175 8

533 0 29 64 165 9

30 1 32 97 185 10

545 0 36 56 172 8

284 0 34 56.7 160 8

44 1 33 88 168 8

267 0 29 78.5 160 9

429 0 37 63 164 8

66 0 50 83 163 10

415 0 47 71 176 7

45 0 44 82 157 7

224 0 43 8

540 0 43 66 170

49 0 47 64 163 7

253 1 41 163 5

90 1 43 95 173 6

514 0 42 80 158 7.5

274 0 46 52 160 8

42 0 50 50 163 8.5

233 1 47 82 177.5 8

3 0 40 48 154 10

238 0 41 75 167.5 8

262 0 46 67 166 8.5

54 0 47 52 158 8

19 0 40 106 176 8

295 0 48 57 162 8

221 0 44 59 165 7

208 0 50 88 178 7

543 1 41 96 165 8

43 0 49 8

537 0 50 72 170 8

74 0 44 65 193 8

72 0 41 65 161 8

254 0 40 63 161 8

297 0 43 45 160 9

58 1 51 85 181 8

217 1 45 89 172 9

231 0 46 75 155 9

520 1 48 71 168 6

206 1 39 54 174 8

56 1 51 95 183 7

524 1 43 72 165 10

14 1 60 80 172 7.5

299 0 58 56.7 162.5 8

519 0 66 90 6

230 0 57 64 162.5 8.5

276 1 67 100.8 177.5 9

511 1 57 68 170 8

82 0 52 70 163

223 0 52 68 160 8

248 0 52 90 162.5 8

73 0 53 87 165 9

205 0 54 55 157.5 7

219 0 52 8

264 0 59 51 160 6

225 0 56 168 8

428 0 69 69 151 5

260 0 53 72.45 162.5 9

273 0 59 78 162.5 8

419 1 60 70 186 7

283 0 59 8

279 1 62 88 174 8

289 0 60 58 160 7.5

226 0 57 70 165 6

244 1 70 62 170 8

518 1 54 92 170 7

31 0 53 100 168 8

510 1 54 76 188 6

28 0 54 60 150 7

11 1 55 68 170 8

201 1 59 75 170 8

235 0 58 70 156 8

256 1 58 82 155 6

286 1 56 90 175 9

271 0 55 70 162.5 6

288 0 55 8

423 0 71 68 168 7

427 1 62 113 189 6.5

1)Proposed analysis and why you chose the analysis:

2) Measurement type (i.e., nominal, ordinal, continuous) for variable(s) that will be used in the analysis:

3) Null and alternative hypotheses (based on context of study) in symbols:

4) Test assumptions and make a decision (please provide written evidence to support your decision):

5) Inferential statistic(s) and p-value(s):

Question

A study was conducted to explore the prevalence and impact of sleep problems on various aspects of people's lives. Staff from a university in Melbourne, Australia were invited to complete a questionnaire containing questions about their sleep behaviour (e.g. hours slept per night), sleep problems (e.g. difficulty getting to sleep) and the impact that these problems have on aspects of their lives (work, driving, relationships). The sample consisted of 271 respondents (55% female, 45% male) ranging in age from 18 to 84 years (M=43.9yrs). A student researcher is interested in examining whether the participants in the study sleep for 8 hours a night, the recommended average for adults.

id	sex	age	weight	height	sleep
83	0	42	52	162	9
294	0	54	65	174	7
425	1		89	170	8
64	0	41	66	178	8
536	0	39	62	160	7.5
57	0	66	62	165	8
251	0	36	62	165	8
255	0	35	75	174	7
265	1		90	180	8
290	1	41	75	187	7
418	1		70		7.5
95	1		78	178	8
77	0	33	67	158	6.5
203	0		80	172.5	8
413	0	24	56	162	9
69	0	24	49	165	10
277	0	35	50	153	8
401	1	28	75	170	7
7	1	19	60	176	8.5
12	1	31			7
50	1		72	173	7
67	1		95	192	8
218	0	41	75	170	8
245	1	45	89	175	8
258	0	23	68	178	7
291	0	48		162.5	7
2	1	62	90	188	8
40	1		94	185	7.5
51	1		70	179	8
26	1		63	174
249	1	21			9
410	1	27	82	185	7
513	0	31	67	165	8
525	1	26	80	180	6
47	1	25	75	180	10
63	1	59	75	182	6.5
68	1	44	90	174	7
207	1		56	171	8
302	1	56	75	180	8.5
409	1		75	176	8
412	0	35	56	163	8
535	0	48	64	172	8
62	0	59	80	173	8
70	0	42	50	165	7
252	0		66	160	5
406	1	29	74	170	8
527	0	18	58	157	7
79	0	48	60	165	2
213	0	37	59	165	8
417	0	84	63	165	6
517	0	69	75	163	6
541	0	37	63	158	10
65	1		80	183	7
24	1	63			7
55	0	43			7
216	0	42			8
261	0	50	55	152.5	8
408	0	47	68	160	9
13	1	35	70	180	6
20	1	63	82	182	6.5
263	0	52	100	172	8
32	0	49	80	160	7
247	0	19	63	156	10
532	0	29	43	155	7
23	0	53	57	158	7
220	1	57		185.5	8
246	0		70	152	9
280	0	56	55	152.5	8
285	0	37	53	168	8
403	1	30	75	170	8
15	1	51	110	180	6.5
85	0	34	61	167	8
204	1	66	82	180	9
212	0	45	67	170	9
404	0	57		162.5	4
507	1	54	84	178	7
538	0	45	65	157	8
17	0	42	50	159	8
48	0	38	47	160	9
97	1	36	88	177	7
270	0	38	48	163	8
272	1		75	183	7
281	0	32	53	157	8
508	1	63	74.5		7
202	1	54	85	183	9
268	1	28	67	173	6
278	0	34	60	168	7.5
293	0	58	75.6	165	6
301	0	55	76	165	7
414	1	68	75		6
534	1	59	77	177	8
1	1	66	78	170	8
5	1	36	67	165	7
10	1	49	110	180	7
22	0	33	60	160	9
46	0	43	70	154	8
52	0	44	79	163	7
60	1	60	80	180	8
96	1	42	79	179	7.5
228	0	48	52	162	7
237	1	40	94	192.5
300	1	48	82	180	8
407	1		68	164	8
512	0	27	58	156	8
9	1	35	95	187	6
21	0	58	63	160	7
29	0	50	65	168	7
39	0	41	75	163	8
71	0	32	65	165	7
80	1	57	77	178	7
81	1	49	80	199	8
86	1	47	73	175	7
98	0	25			8
250	0	25	62	165	8
259	0	35	61	165	8
282	0	51	63	165	9
292	0	58	80	168	8
523	1	46			8
34	1		79	172	8
215	1	53	72	175	8
241	0	39			8
266	0	46	60.3	162.5	8
275	0	65	53		8
298	1		90	190	8
411	0	40	63	163	7
509	0	40	66	170	8
6	0	47	98	173	7
8	0	48	52	163	8
16	0	49	65	170	8
18	0		70	175	8
41	1	47	74	183	8
59	0	35	69	170	8
76	1	52	98	168	8
88	1	26	74	184	10
92	1	42	82	175	9
93	1	57	90	183	8
210	1	43	73	172.5	8
214	1	41			8
222	1	48	84	185	8
229	1	55	76	188	8
232	0	47	67	172	8
243	1	52	76	180	6
257	1	24	87	192	7
400	0	44	63	165	8
420	0	56	98	165	6
422	1	23	84	178	8
521	0	59	80	158	7
528	1	38	78	180	7
36	1		89	194	7
78	0	46	68	155	8
91	1	26			8
211	0	44	64	152.5	8
227	1		95	170	5.5
242	1	27	97	175	8.5
531	1	47	120	188	6
546	0	48	53	163	7
61	1	27	105	182	10
405	0	32	58		8
53	1	25			9
269	1		83	180	7
426	1	66	93	189	5.5
529	1	30	75	178	7
35	0	39	72	160	9
200	0	42	48	158	8
236	0	58	52		8
424	1	62	160	178	9
287	0	33	73	167.5	8
75	1	34	72	182	8
209	0	26	60	164	9
234	1	19	78	178	7
240	0	31	100	157.5	10
416	1	26	86	188	9.5
37	1	35	73	172	8
84	1	21	60		10
239	0	30	70	160	7
515	0	32	54	158	10
25	1	36	87	188	7
87	1	22			10
530	0	29	80	168	8
421	0	22	71	170	8.5
522	0	31	72	175	8.5
526	0	23	70	165	6.5
33	1	34	83	178	8
539	0	28	60	160	9
38	0	23	75	153	6.5
89	1	22	85	186	8
402	1	35	85	185
542	1	30	77	187	8
94	0	30	60	165	8
296	0	36	56	165	8
4	1	26	89	183	9
516	1	35	85	183	7.5
544	1	32	95	193	8
27	1	27	75	175	8
533	0	29	64	165	9
30	1	32	97	185	10
545	0	36	56	172	8
284	0	34	56.7	160	8
44	1	33	88	168	8
267	0	29	78.5	160	9
429	0	37	63	164	8
66	0	50	83	163	10
415	0	47	71	176	7
45	0	44	82	157	7
224	0	43			8
540	0	43	66	170
49	0	47	64	163	7
253	1	41		163	5
90	1	43	95	173	6
514	0	42	80	158	7.5
274	0	46	52	160	8
42	0	50	50	163	8.5
233	1	47	82	177.5	8
3	0	40	48	154	10
238	0	41	75	167.5	8
262	0	46	67	166	8.5
54	0	47	52	158	8
19	0	40	106	176	8
295	0	48	57	162	8
221	0	44	59	165	7
208	0	50	88	178	7
543	1	41	96	165	8
43	0	49			8
537	0	50	72	170	8
74	0	44	65	193	8
72	0	41	65	161	8
254	0	40	63	161	8
297	0	43	45	160	9
58	1	51	85	181	8
217	1	45	89	172	9
231	0	46	75	155	9
520	1	48	71	168	6
206	1	39	54	174	8
56	1	51	95	183	7
524	1	43	72	165	10
14	1	60	80	172	7.5
299	0	58	56.7	162.5	8
519	0	66	90		6
230	0	57	64	162.5	8.5
276	1	67	100.8	177.5	9
511	1	57	68	170	8
82	0	52	70	163
223	0	52	68	160	8
248	0	52	90	162.5	8
73	0	53	87	165	9
205	0	54	55	157.5	7
219	0	52			8
264	0	59	51	160	6
225	0	56		168	8
428	0	69	69	151	5
260	0	53	72.45	162.5	9
273	0	59	78	162.5	8
419	1	60	70	186	7
283	0	59			8
279	1	62	88	174	8
289	0	60	58	160	7.5
226	0	57	70	165	6
244	1	70	62	170	8
518	1	54	92	170	7
31	0	53	100	168	8
510	1	54	76	188	6
28	0	54	60	150	7
11	1	55	68	170	8
201	1	59	75	170	8
235	0	58	70	156	8
256	1	58	82	155	6
286	1	56	90	175	9
271	0	55	70	162.5	6
288	0	55			8
423	0	71	68	168	7
427	1	62	113	189	6.5

1)Proposed analysis and why you chose the analysis:

2) Measurement type (i.e., nominal, ordinal, continuous) for variable(s) that will be used in the analysis:

3) Null and alternative hypotheses (based on context of study) in symbols:

4) Test assumptions and make a decision (please provide written evidence to support your decision):

5) Inferential statistic(s) and p-value(s):

Accepted Answer

1) 
To test this claim we will use the one-sample t test for mean, as the sample size is really…