aocompanying 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 A 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. Words spoken in a day In this example, Hg 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 f hypotheses for the hypothesis test? Male Female o 21,795 23,080 7,000 17,605 11,690 16,469 10,927 20,292 13,025 17,571 16,277 12,883 15,931 22,146 7.253 17,149 24,583 16,680 16,964 word(e) H word(s) (Type integers or decimais. Do not round) 25,756 16,552 5,766 26,376 23,627 7.011 Identify the test statistic. 20,069 17.680 27,105 23,910 10,032 11,080 11,940 22,763 21.005 t-Round to two decimal places as needed) Identify the P-value. Pvalue (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? 3,213 19,209 9,328 19,629 16,526 16,328 21.290 Since the Pvalue is the significance level, the null hypothesis. There Vsufficient evidence to support the claim that males speak fewer words in a day than fem b. Construct the confidence interval that could be used for the hypothesis test descnibed in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? 11,884 The confidence interval is word(s)< word(e) 30,922 8 280 (Round to aderime

Classify whether the following is expression or sentence. 1. 2+5=10 2. 20-16 3. 14-6=8 4. 19-5>14 5. 16²+2(3-5)

T-shirts are being sold for $40 per shirt and the store owner was selling an average of 60 shirts a day. In an effort to sell more shirts, the owner decreased the t-shirt price by $2 and realized that he is selling 5 more shirts for every decrease in price.   -Determine an expression to represent the new price, P, with respect to the number of price changes (X) -Determine an expression to represent the quantity, Q, of items sold with respect to the number of price changes (X) -Determine an expression in standard form, to represent the revenue generated as modelled by the equation, R(x)=P(x)Q(x)

In your own words, explain how to find the conditional prob- ability P(E|F)