Answered: The accompanying table lists the…

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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Question

The accompanying table lists the numbers of words spoken in a day by each member of 56 different randomly selected couples.

Male Female
27,295 20,058
14,538 24,279
6,627 6,080
26,863 17,194
26,154 11,494
7,897 14,266
20,729 11,020
16,614 18,149
26,788 12,660
23,142 19,080
12,863 14,052
10,490 12,479
12,958 16,999
21,116 24,740
19,401 7,220
959 18,144
19,879 22,678
8,970 20,211
22,056 17,878
18,140 14,993
17,243 29,363
21,802 9,987
8,915 19,744
6,195 6,519
27,800 10,925
9,753 18,965
11,486 13,993
12,670 23,131
13,624 20,535
20,298 11,258
15,470 35,653
11,227 10,243
20,953 10,489
15,208 13,808
9,339 28,375
13,608 21,585
13,747 15,263
11,141 20,435
17,723 21,103
13,287 14,162
14,023 17,251
6,374 11,661
18,467 18,426
14,721 16,822
16,638 27,260
15,697 38,278
17,541 24,903
37,429 35,365
19,171 22,767
46,999 32,671
27,313 16,845
9,728 8,998
15,532 25,478
11,224 15,768
7,035 15,937
21,811 27,253

=0<0

Identify the test statistic.

(Round to two decimal places as needed.)

Identify the P-value.

(Round to three decimal places as needed.)

greater than, fail to reject, is not

The confidence interval is __ word(s)<μd<__word(s).

(round to one decimal place as needed)

zero, fail to reject

Expert Solution

Step 1

Given Information :

The accompanying table lists the numbers of words spoken in a day by each member of 56 different randomly selected couples.

Following table is obtained from the provided data:

	Male	Female	Difference
	27295	20058	7237
	14538	24279	-9741
	6627	6080	547
	26863	17194	9669
	26154	11494	14660
	7897	14266	-6369
	20729	11020	9709
	16614	18149	-1535
	26788	12660	14128
	23142	19080	4062
	12863	14052	-1189
	10490	12479	-1989
	12958	16999	-4041
	21116	24740	-3624
	19401	7220	12181
	959	18144	-17185
	19879	22678	-2799
	8970	20211	-11241
	22056	17878	4178
	18140	14993	3147
	17243	29363	-12120
	21802	9987	11815
	8915	19744	-10829
	6195	6519	-324
	27800	10925	16875
	9753	18965	-9212
	11486	13993	-2507
	12670	23131	-10461
	13624	20535	-6911
	20298	11258	9040
	15470	35653	-20183
	11227	10243	984
	20953	10489	10464
	15208	13808	1400
	9339	28375	-19036
	13608	21585	-7977
	13474	15263	-1789
	11414	20435	-9021
	17723	21103	-3380
	13287	14162	-875
	14023	17251	-3228
	6374	11661	-5287
	18467	18246	221
	14271	16822	-2551
	16638	27260	-10622
	15697	38278	-22581
	17541	24903	-7362
	37429	35365	2064
	19171	22767	-3596
	46999	32671	14328
	27313	16845	10468
	9728	8998	730
	15532	25478	-9946
	11224	15768	-4544
	7035	15937	-8902
	21811	27253	-5442

Average	16682.518	18477.018	-1794.5
St. Dev.	7956.901	7372.97	9158.33
n	56	56	56

From the sample data, it is found that the corresponding sample means are:

Also, the provided sample standard deviations are:

and the sample size is n = 56. For the score differences we have

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