Male | Female | Difference |
15604 | 25071 | -9467 |
26807 | 12979 | 13828 |
1453 | 17797 | -16344 |
7959 | 18165 | -10206 |
18955 | 12463 | 6492 |
15425 | 16877 | -1452 |
13679 | 16681 | -3002 |
25217 | 17946 | 7271 |
Sample mean of the difference using excel function AVERAGE(), x̅d = -1610
Sample standard deviation of the difference using excel function STDEV.S(), sd = 10264.5260
Sample size, n = 8
a) Null and Alternative hypothesis:
Ho : µd = 0
H1 : µd < 0
Test statistic:
t = (x̅d)/(sd/√n) = (-1610)/(10264.526/√8) = -0.44
df = n-1 = 7
p-value = T.DIST(-0.44, 7, 1) = 0.337
Decision:
since the p-value > the significance level, Do not reject the null hypothesis. There is not sufficient evidence to conclude that male speak fewer words in a day than females.
b) 95% Confidence interval :
At α = 0.05 and df = n-1 = 7, two tailed critical value, t-crit = T.INV.2T(0.05, 7) = 2.365
Lower Bound = x̅d - t-crit*sd/√n = -1610 - 2.365 * 10264.526/√8 = -10191
Upper Bound = x̅d + t-crit*sd/√n = -1610 + 2.365 * 10264.526/√8 = 6971
-10191 < µd < 6971
U ul HU poruwuyu m oguce de ce Male 15,604 26,807 Female 25,071 12,979 14537959 17,797...
U ul HU poruwuyu m oguce de ce Male 15,604 26,807 Female 25,071 12,979 14537959 17,797 18,165 18,955 15,425 12,463 16,877 13,679 25,217 16,681 17,946 Ho: Mo = 0 word(s) H:Hd < 0 word(s) (Type integers or decimals. Do not round.) Identify the test statistic. t= -0.44 (Round to two decimal places as needed.) Identify the P-value P-value = 0.337 (Round to three decimal places as needed.). What is the conclusion based on the hypothesis test? Since the P-value is...
Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male 15,604 26,807 Female 25,071 12,979 14537959 17,797 18,165 18,956 15,425 12,463 16,877 13,679 25,217 16,681 17,946 a. Use a 0.05 significance level to test the claim that among couples, males speak fewer words in a day than females. is defined as the words spoken by In this example, Hy is the mean value...
opol du bel o elgt unleret randomly selecteC 18,955 15,425 13,679 25,217 Female 25,071 12,979 17,797 18,165 12,463 16,877 16,681 17,946 Male 15,604 26,807 1453 7959 word(s) H1 Hd 0 word(s) (Type integers or decimals. Do not round.) Identify the test statistic. t= -0.44 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.337 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than speak...
Male Female
26,074 19,013
16,287 23,407
4,653 6,741
27,303 20,492
27,421 12,617
9,766 16,363
20,440 9,681
16,037 20,662
25,807 15,383
21,658 20,273
13,174 14,025
8,961 11,426
11,048 17,812
22,170 25,246
20,157 6,670
1,253 20,301
22,236 22,622
8,189 19,656
21,245 15,824
18,515 13,500
16,672 28,908
20,342 8,624
6,949 19,482
5,296 5,253
26,184 11,851
10,025 19,892
13,862 15,628
12,540 23,166
13,604 21,991
20,680 12,842
13,560 34,635
10,884 8,683
21,390 9,058
16,973 11,517
12,169 30,822
14,841 21,245
13,989 17,289
8,789 19,478
18,887 22,051...
Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male 15,872 25,816 1461 7988 18,247 15,214 14,017 24,920 Female 24,620 13,031 18,262 17,336 13,250 16,651 16,269 17,969 What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, fail to reject the null hypothesis. There is not sufficient evidence to support the claim that males speak...
Question Help Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Horo на на Male 15,983 26.708 1376 7767 18,154 15.226 13,817 26,688 Female 25,135 13,052 17,803 18,096 12,701 17,478 15,776 18,807 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, He is the mean value of...
Fill in the blanks, greater than, less than, fail to reject, is
not, is and the last part Since the confidence interval contains
zero, fail to reject.
Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male 15,733 26,549 1393 7608 19,580 15,680 13,973 25,365 Female 25,286 13,228 17,718 18,082 12,774 16,520 16,349 18,734 a. Use a 0.01 significance level to test the...
Male
Female
26,616 19,037
15,642 24,613
4,073 5,930
28,733 18,953
24,660 10,286
7,959 14,542
20,806 10,640
18,184 18,336
27,071 12,203
23,508 17,870
12,408 17,792
12,074 14,180
13,336 15,044
19,876 22,004
20,499 5,758
2,194 19,297
20,312 22,900
11,577 17,897
18,808 16,171
15,449 14,824
18,001 28,902
20,374 7,189
6,471 18,205
8,641 6,102
24,494 10,864
10,659 20,285
14,194 12,742
12,715 21,378
11,844 19,696
17,716 13,700
12,804 33,016
7,986 8,591
19,353 9,995
16,284 12,521
12,507 30,372
16,452 22,523
13,507 17,665
8,976 20,305
19,118 20,910...
Find the T
Find the P-value
ANd confidence intervals
Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male 15,872 25,816 1461 7988 18,247 15,214 14,017 24,920 2 Female 24,620 13,031 18,262 17,336 13,250 16,651 16,269 17,969 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, He...
Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male 16,054 27,338 1411 8019 19,507 15,326 13,597 25,343 Female 25,186 13,173 18,067 17,119 13,192 17,360 16,313 18,554 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...