12. Words Spoken In A DayMaleFemale28,81115,4904,78028,16624,9617,75221,30116,52424,43322,5459,83411,89610,73221,40118,38921,64224,4854,35919,01510,88017,55212,75520,25215,18718,07014,11913,28317,44722,7544,44519,89723,69018,24915,79214,49531,00466219,24410,55219,64116,26117,28219,9849,3766,90827,09910,53112,62312,77712,43820,72614,91916,3964,36210,29217,60014,93721,22620,40313,13333,317 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.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, µa 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 alternativehypotheses for the hypothesis test?Ho: Hdword(s)H1: Hdword(s)(Type integers or decimals. Do not round.)Identify the test statistic.t =(Round to two decimal places as needed.)Identify the P-value.P-value =(Round to three decimal places as needed.)What is the conclusion based on the hypothesis test?Since the P-value isthe significance level,the null hypothesis. Theresufficient evidence to support the claim that males speak fewer words in a day than females.b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?The confidence interval isword(s)

Question

12. Words Spoken In A DayMaleFemale28,81115,4904,78028,16624,9617,75221,30116,52424,43322,5459,83411,89610,73221,40118,38921,64224,4854,35919,01510,88017,55212,75520,25215,18718,07014,11913,28317,44722,7544,44519,89723,69018,24915,79214,49531,00466219,24410,55219,64116,26117,28219,9849,3766,90827,09910,53112,62312,77712,43820,72614,91916,3964,36210,29217,60014,93721,22620,40313,13333,317 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.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, µa 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 alternativehypotheses for the hypothesis test?Ho: Hdword(s)H1: Hdword(s)(Type integers or decimals. Do not round.)Identify the test statistic.t =(Round to two decimal places as needed.)Identify the P-value.P-value =(Round to three decimal places as needed.)What is the conclusion based on the hypothesis test?Since the P-value isthe significance level,the null hypothesis. Theresufficient evidence to support the claim that males speak fewer words in a day than females.b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?The confidence interval isword(s) < Hdword(s).(Round to one decimal place as needed.)What feature of the confidence interval leads to the same conclusion reached in part (a)?Since the confidence interval containsthe null hypothesis.

Accepted Answer

given data

Words Spoken In A Day Male Female 28,811 15,490 4,780 28,166 24,961 7,752 21,301 16,524 24,433 22,545 9,834 11,896 10,732 21,401 18,389 21,642 24,485 4,359 19,015 10,880 17,552 12,755 20,252 15,187 18,070 14,119 13,283 17,447 22,754 4,445 662 19,897