the accompanying table lists the numbers of words spoken in a day by each member of 56 different randomly selected couples.    a. Identify the test statistic. t equals ​(Round to two decimal places as​ needed.)   b. Identify the​ P-value. ​P-value equals ​(Round to three decimal places as​ needed.)   c. Construct the confidence interval that could be used for the hypothesis test described. What feature of the confidence interval leads to the same conclusion reached.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 16CT: How many six-digit license plates can be made if no plate begins with 0 or 1?
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the accompanying table lists the numbers of words spoken in a day by each member of 56 different randomly selected couples. 

 

a. Identify the test statistic.
t equals
​(Round to two decimal places as​ needed.)
 
b. Identify the​ P-value.
​P-value equals
​(Round to three decimal places as​ needed.)
 
c. Construct the confidence interval that could be used for the hypothesis test described. What feature of the confidence interval leads to the same conclusion reached.
 
The confidence interval is
​word(s )less than mu Subscript d less than  ​word(s).
​(Round to one decimal place as​ needed.)
Male
27,405 19,860
15,286 23,798
5,294 6,975
26,984 19,824
26,634 13,625
7,519 15,244
19,538 13,518
16,316 20,240
27,359 13,541
20,085 19,356
13,389 15,069
9,557 12,986
Female 2
13,025 15,071
21,404 23,057
18,409
4,945
1,141
18,792
19,555 23,450
11,283 19,740
20,452 16,227
16,230 15,380
14,813 30,955
19,999 8,682
7,041 18,659
6,101 7,465
26,460 11,126
11,559 17,550
11,810 11,817
12,444 20,450
13,469 22,060
17,846 13,665
12,825 35,561
7,604
7,008
21,263 11,013
16,627
10,081
12,070 27,803
14,687 20,814
14,677 15,217
11,743 20,645
18,877 18,885
11,078 15,022
12,509 19,115
6,474 14,129
19,673 17,530
13,393 16,278
17,659 27,369
15,534 36,939
18,171 25,331
38,947 35,848
18,229 24,322
47,871 29,719
24,566 17,219
12,189 7,375
14,771 24,659
10,202 17,827
5,800 15,210
20,861 29,944
Transcribed Image Text:Male 27,405 19,860 15,286 23,798 5,294 6,975 26,984 19,824 26,634 13,625 7,519 15,244 19,538 13,518 16,316 20,240 27,359 13,541 20,085 19,356 13,389 15,069 9,557 12,986 Female 2 13,025 15,071 21,404 23,057 18,409 4,945 1,141 18,792 19,555 23,450 11,283 19,740 20,452 16,227 16,230 15,380 14,813 30,955 19,999 8,682 7,041 18,659 6,101 7,465 26,460 11,126 11,559 17,550 11,810 11,817 12,444 20,450 13,469 22,060 17,846 13,665 12,825 35,561 7,604 7,008 21,263 11,013 16,627 10,081 12,070 27,803 14,687 20,814 14,677 15,217 11,743 20,645 18,877 18,885 11,078 15,022 12,509 19,115 6,474 14,129 19,673 17,530 13,393 16,278 17,659 27,369 15,534 36,939 18,171 25,331 38,947 35,848 18,229 24,322 47,871 29,719 24,566 17,219 12,189 7,375 14,771 24,659 10,202 17,827 5,800 15,210 20,861 29,944
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