The accompanying table lists the numbers of words spoken in a day by each member of 56 different randomly selected couples. Complete parts (a) and (b) below. LOADING... Click the icon to view the data on words spoken in a day by the couples. a. Use a 0.05 significance level to test the claim that among couples, males speak fewer words in a day than females. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test? H0: μd ▼ greater than> not equals≠ less than< equals= nothing word(s) H1: μd ▼ greater than> less than< not equals≠ equals= nothing word(s) (Type integers or decimals. Do not round.) Male Female 28,309 21,518 15,198 26,417 4,700 3,459 28,146 18,088 24,999 13,072 8,881 17,038 22,403 12,023 17,262 20,819 27,904 15,059 23,631 18,758 9,768 16,901 10,575 12,793 12,844 17,232 21,555 24,589 19,616 5,668 532 18,856 19,616 24,063 8,565 19,229 21,382 14,653 15,454 14,025 16,126 30,751 19,571 8,853 6,731 16,517 5,026 6,584 24,689 11,194 9,035 17,494 14,580 13,864 14,135 22,077 14,059 22,037 17,354 13,684 11,901 32,212 11,040 7,799 21,066 11,021 15,458 12,741 11,044 28,920 16,208 19,217 17,409 17,882 12,133 17,091 17,885 19,846 10,571 16,887 14,265 16,894 7,678 11,313 18,670 15,877 14,895 16,989 15,740 29,443 15,133 37,877 17,172 27,215 35,779 34,277 18,868 26,297 46,671 32,073 24,899 20,591 9,245 6,565 15,891 24,000 11,935 14,376 7,022 14,086 20,510 28,881 PrintDone

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

different randomly selected couples. Complete parts (a) and (b) below.

Click the icon to view the data on words spoken in a day by the couples.

a. Use a

0.05

significance level to test the claim that among couples, males speak fewer words in a day than females.

In this example,

μd

is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test?

H0:

μd

▼

greater than>

not equals≠

less than<

equals=

nothing

word(s)

H1:

μd

▼

greater than>

less than<

not equals≠

equals=

nothing

word(s)

(Type integers or decimals. Do not round.)

Male	Female
28,309	21,518
15,198	26,417
4,700	3,459
28,146	18,088
24,999	13,072
8,881	17,038
22,403	12,023
17,262	20,819
27,904	15,059
23,631	18,758
9,768	16,901
10,575	12,793
12,844	17,232
21,555	24,589
19,616	5,668
532	18,856
19,616	24,063
8,565	19,229
21,382	14,653
15,454	14,025
16,126	30,751
19,571	8,853
6,731	16,517
5,026	6,584
24,689	11,194
9,035	17,494
14,580	13,864
14,135	22,077
14,059	22,037
17,354	13,684
11,901	32,212
11,040	7,799
21,066	11,021
15,458	12,741
11,044	28,920
16,208	19,217
17,409	17,882
12,133	17,091
17,885	19,846
10,571	16,887
14,265	16,894
7,678	11,313
18,670	15,877
14,895	16,989
15,740	29,443
15,133	37,877
17,172	27,215
35,779	34,277
18,868	26,297
46,671	32,073
24,899	20,591
9,245	6,565
15,891	24,000
11,935	14,376
7,022	14,086
20,510	28,881

PrintDone

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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