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.1. Proposed analysis and why you chose the analysis2. Measurement type (i.e., nominal, ordinal, continuous) for variable(s) that will be used in the analysis3. Null and alternative hypotheses (based on context of study) in symbols4. Test assumptions and make a decision (please provide written evidence to support your decision)5. Inferential statistic(s) and p-value(s)6. Decision7. Conclusion8. Based on your decision, identify and explain the type of error you could be making with respect to the conclusions of the studyid sex age weight height sleep830425216292940546517474251 89170864041661788536039621607.5570666216582510366216582550357517472651 9018082901417518774181 70 7.5951 78178877033671586.52030 80172.584130245616296902449165102770355015384011287517077119601768.512131 7501 721737671 951928218041751708245145891758258023681787291048 162.572162901888401 941857.5511 701798261 63174 249121 941012782185751303167165852512680180647125751801063159751826.5681449017472071 561718302156751808.54091 75176841203556163853504864172862059801738700425016572520 661605406129741708527018581577790486016522130375916584170846316565170697516365410376315810651 80183724163 755043 7216042 826105055152.584080476816091313570180620163821826.5263052100172832049801607247019631561053202943155723053571587220157 185.582460 70152928005655152.58285037531688403130751708151511101806.585034611678204166821809212045671709404057 162.545071548417875380456515781704250159848038471609971368817772700384816382721 75183728103253157850816374.5 7202154851839268128671736278034601687.529305875.6165630105576165741416875 6534159771778116678170851366716571014911018072203360160946043701548520447916376016080180896142791797.522804852162723714094192.5 3001488218084071 68164851202758156891359518762105863160729050651687390417516387103265165780157771787811498019988614773175798025 8250025621658259035611658282051631659292058801688523146 8341 791728215153721758241039 826604660.3162.5827506553 82981 9019084110406316375090406617086047981737804852163816049651708180 701758411477418385903569170876152981688881267418410921428217599315790183821014373172.58214141 8222148841858229155761888232047671728243152761806257124871927400044631658420056981656422123841788521059801587528138781807361 8919477804668155891126 821104464152.582271 951705.5242127971758.55311471201886546048531637611271051821040503258 853125 92691 831807426166931895.55291307517873503972160920004248158823605852 8424162160178928703373167.5875134721828209026601649234119781787240031100157.510416126861889.5371357317288412160 1023903070160751503254158102513687188787122 10530029801688421022711708.5522031721758.5526023701656.53313483178853902860160938023751536.58912285186840213585185 542130771878940306016582960365616584126891839516135851837.55441329519382712775175853302964165930132971851054503656172828403456.716084413388168826702978.5160942903763164866050831631041504771176745044821577224043 854004366170 49047641637253141 163590143951736514042801587.527404652160842050501638.523314782177.583040481541023804175167.58262046671668.55404752158819040106176829504857162822104459165720805088178754314196165843049 853705072170874044651938720416516182540406316182970434516095815185181821714589172923104675155952014871168620613954174856151951837524143721651014160801727.529905856.7162.5851906690 623005764162.58.5276167100.8177.595111576817088205270163 22305268160824805290162.587305387165920505455157.57219052 8264059511606225056 168842806969151526005372.45162.5927305978162.58419160701867283059 8279162881748289060581607.5226057701656244170621708518154921707310531001688510154761886280546015071115568170820115975170823505870156825615882155628615690175927105570162.56288055 84230716816874271621131896.5

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

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)

6. Decision

7. Conclusion

8. Based on your decision, identify and explain the type of error you could be making with respect to the conclusions of the study

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

Statistics that allow for inferences or estimates about the population. Inferential statistics enable analysts come to conclusions about the population based on sample data. Inferential statistics cover the basics of inferential statistics, all kinds of hypotheses tests and their confidence intervals, design of experiments, and statistical power and errors. It also includes point estimation techniques, limit theorems, sampling distributions, approximations, and bounds. Correlation, regression, and association are also covered under inferential statistics to infer relationships between variables.

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