Baseball teams in Leauge 1 play their games with a rule that they believe produces more runs and generates more interest among fans. The data shown below include the average numbers of runs scored per game by League 1 and League 2 teams for the first seven games of the most recent season. Complete parts a through d. League 1 11.1 10.3 10.2 10.0 9.3 9.0 3.3 League 2 14.0 10.5 9.8 9.5 9.5 8.9 8.2 Runs Scored 157 157 157 157 O H Runs Scored Runs Scored Runs Scored H 2 2 2 b) With a 98% confidence interval, estimate the mean number of runs scored in League 1 games. Based on these data, the mean number of runs scored by League 1 teams is between and , with 98% confidence. (Use ascending order. Round to two decimal places as needed.) c) With a 98% confidence interval, estimate the mean number of runs scored in League 2 games. Based on these data, the mean number of runs scored by League 2 teams is between and , with 98% confidence. (Use ascending order. Round to two decimal places as needed.) d) Explain why you should not use two separate confidence intervals to decide whether the two leagues differ in average number of runs scored. Choose the correct answer below. O A. Using two different confidence intervals adds the standard deviations instead of the variances. O B. It is okay to use two separate confidence intervals. O C. Using two different confidence intervals adds the variances instead of the standard deviations.A sport has two leagues with dierent mles. The table below shows the average numbers of points scored for one season. Do the data suggest that the rules in League 1 ma].r lead to more points? Complete parts a through c below. 91 League 1 |11.4| 19.3 | 19.1 | 19.1 9.9 9.5 9.5 9.5 9.4 9.1 9.9 9.5 | | | | | | | | | | League2|10.8|10.2| 19.2 | 9.9 | 9.5 | 9.5 | 9.9 | 9.9 | 9.9 | 9.9 | 9.9 | 9.? | 9.? | ?.9 a) Using a 95% condence interval, estimate the difference between the mean number of points scored in League 1 games and the mean number of points scored in League 2 games, [11 - '12. is} (Type integers or decimals. Round to one decimal place as needed.) b) Interpret your interval. 0 A. We are 95% condent that the dierenoe between the mean points scored in League 1 games and the mean points scored in League 2 games will fall in the interval. 0 B. We are 95% condent that both the mean points scored in League 1 games and the mean points scored in League 2 games will fall in the interval. 0 c. There is a 95% probability that the difference between the points scored in a League 1 game and the points scored in a League 2 game will fall in the interval. c) Does that interval suggest that the two leagues may differ in average number of points scored per game? 0 A. No, because 0 is in the interval. 0 B. No, because Dis not in the interval. 0 1:. Yes, because 0 is in the interval. 0 D. Yes, because 0 is not in the interval. A study examined whether the content of TV shows inuenced the ability of viewers to recall brand names in commercials. The researchers randomly assigned volunteers to watch one of three programs, each containing the same nine commercials. The shows were either violent, sexual, or neutral. Aftenivards, the subjects were asked to recall the brands of the advertised products. Results are summarized to the right. Complete parts a and b below. Violent Sexual Neutral No. of sublecls 103 103 103 Brand: Recalled Mean 2.14 1.33 3.02 SD 1.69 1.3-3 1.36 a.)A test of the hypothesis that there is no difference in ad memory between programs with sexual content and those with violent content with a signicance level of u = 0.05 has a Pwalue of 0.060. State your conclusion. Select the correct answer below. 0 A. Since the Pwalue is less than 0.05, the null hypothesis that there is no difference between the two programs is rejected. 0 B. Since the PAUalue is less than 0.05, the null hypothesis that there is no difference between the two programs cannot be rejected. 0 6. Since the Pwalue is greater than 0.05, the null hypothesis that there is no difference between the two programs is rejected. 0 D. Since the Pwalue is greater than 0.05, the null hypothesis that there is no difference between the two programs cannot be rejected. b.) Is there evidence that viewer memory for ads may differ between programs with sexual content and those with neutral content? Test an appropriate hypothesis and state your conclusion. {Assume a signicance level of a = 0.05] Identify the null and alternative hypotheses. Choose the correct answer below. OA. HozpspN=0 l'liiills'l-lii\"0 OB. Hn:|.l3_|.lN=0 HAszpNi0 A study examined whether the content of TV shows influenced the ability of viewers to recall brand names in commercials. The researchers randomly assigned volunteers to watch one of three programs, each containing the same nine commercials. The shows were either violent, sexual, or neutral. Afterwards, the subjects were asked to recall the brands of the Violent Sexual Neutral advertised products. Results are summarized to the right. Complete parts a and b below. No. of subjects 108 108 108 Brands Recalled Mean 2.14 1.68 3.02 SD 1.69 1.88 1.66 O C. Ho: HS - HN = 0 OD. HO: HS - HN =0 HA: HS - HN #0 HA: HS - HN >0 Compute the t-statistic. 1=] (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Reject the null hypothesis. There is sufficient evidence to support the claim that viewers' memories are different. O B. Do not reject the null hypothesis. There is insufficient evidence to support the claim that viewers' memories are different. O C. Do not reject the null hypothesis. There is sufficient evidence to support the claim that viewers' memories are different. O D. Reject the null hypothesis. There is insufficient evidence to support the claim that viewers' memories are different