Question

In: Statistics and Probability

A baseball team claims that the mean length of its games is less than 2.2 hours....

A baseball team claims that the mean length of its games is less than 2.2 hours. State Upper H 0 and Upper H Subscript a in words and in symbols. Then determine whether the hypothesis test for this claim is? left-tailed, right-tailed, or? two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols. Choose the correct answer below. A. The null hypothesis expressed in words? is, "the mean length of a baseball? team's games isnbsp at most 2.2 ?hours." The null hypothesis is expressed symbolically? as, ?"Upper H 0?: muless than or equals2.2?." B. The null hypothesis expressed in words? is, "the mean length of a baseball? team's games isnbsp less than 2.2 ?hours." The null hypothesis is expressed symbolically? as, ?"Upper H 0?: muless than2.2?." C. The null hypothesis expressed in words? is, "the mean length of a baseball? team's games isnbsp at least 2.2 ?hours." The null hypothesis is expressed symbolically? as, ?"Upper H 0?: mugreater than or equals2.2?." D. The null hypothesis expressed in words? is, "the mean length of a baseball? team's games isnbsp not 2.2 ?hours." The null hypothesis is expressed symbolically? as, ?"Upper H 0?: munot equals2.2?." State the alternative hypothesis in words and in symbols. Choose the correct answer below. A. The alternative hypothesis expressed in words? is, "the mean length of a baseball? team's games is less than 2.2 ?hours." The alternative hypothesis is expressed symbolically? as, ?"Upper H Subscript a?: muless than2.2?." B. The alternative hypothesis expressed in words? is, "the mean length of a baseball? team's games is not 2.2 ?hours." The alternative hypothesis is expressed symbolically? as, ?"Upper H Subscript a?: munot equals2.2?." C. The alternative hypothesis expressed in words? is, "the mean length of a baseball? team's games is more than 2.2 ?hours." The alternative hypothesis is expressed symbolically? as, ?"Upper H Subscript a?: mugreater than2.2?." D. The alternative hypothesis expressed in words? is, "the mean length of a baseball? team's games is 2.2 ?hours." The alternative hypothesis is expressed symbolically? as, ?"Upper H Subscript a?: muequals2.2?." The hypothesis test is ? two dash tailed left dash tailed right dash tailed because the ? null alternative hypothesis contains ? not equals . greater than or equals . equals . greater than . less than . less than or equals .

Solutions

Expert Solution

For null hypothesis, Option - C is correct.

For alternative hypothesis, Option - A is correct.

The hypothesis test is a left tailed test, because the alternative hypothesis cointains less than.

                               

                                              

                                                                                                         

                                     

                         


Related Solutions

Population Mean: Population mean of hours playing games is less than 2.5. results: 3,4,.5,2,2,2.5,5,1,3,6. 11 subjects...
Population Mean: Population mean of hours playing games is less than 2.5. results: 3,4,.5,2,2,2.5,5,1,3,6. 11 subjects tested. Test the hypothesis at 0.5 SL
A particular baseball team wins 68% of its games. Next week it will play 6 games....
A particular baseball team wins 68% of its games. Next week it will play 6 games. (a) What is the team’s expected number of wins during that week? (Round your answer to 2 decimal places.) (b) What is the probability that the team will win at least 5 games next week?
A car dealership claims that its average service time is less than 7 hours on weekdays....
A car dealership claims that its average service time is less than 7 hours on weekdays. A random sample of 16 service times was recorded and yielded the statistics x ̅=6.75 hours and s= 1.62 hours. Assume service times are normally distributed, is there enough evidence to support the dealership’s claim at 5% significance level? 10 marks (Please show every step for full marks) Hypotheses: Rejection Region: Test Statistic: Decision/Conclusion:
The baseball commissioner believes that the average attendance is less than 2,300,000 per team. You decide...
The baseball commissioner believes that the average attendance is less than 2,300,000 per team. You decide to conduct a test of hypothesis to determine whether the mean attendance (Attendance Column) was more than 2,300,000 per team. Use the 5% level of significance. Note: We do not know the populations standard deviation. Attendance 2.16 2.97 2.68 2.28 3.05 1.62 3.37 2.30 4.27 1.92 2.67 1.39 2.35 2.36 2.32 2.75 3.25 2.06 2.38 1.37 3.02 3.86 2.87 3.85 3.11 1.75 2.79 3.22...
Two team (A and B) play a series of baseball games. The team who wins three...
Two team (A and B) play a series of baseball games. The team who wins three games of five-game-series wins the series. Consider A has home-field advantage (0.7 means A has probability of winning 0.7 if it plays in its field) and opponent-field disadvantage (0.2 means A has probability of winning 0.2 if it plays in opponents field). If the series start on A team’s field and played alternately between A and B team’s fields, find the probability that series...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 114 275 2 79 278 3 73 289 4 91 268 5 102 262 6 100 263 7 79 278 8 103 279 sing games won as the explanatory variable xx, do the following: (a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 75 264 2 77 263 3 88 285 4 77 259 5 106 281 6 101 270 7 60 274 8 97 268 Using games won as the explanatory variable x, do the following: (a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 112 290 2 60 274 3 104 286 4 90 284 5 100 279 6 91 265 7 106 272 8 96 289 Using games won as the explanatory variable x, do the following: (a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 78 259 2 94 285 3 63 277 4 82 277 5 90 261 6 103 263 7 106 266 8 96 289 Using games won as the explanatory variable x, do the following: (a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 7474 272272 2 7676 283283 3 9898 268268 4 106106 269269 5 7878 266266 6 117117 278278 7 7474 272272 8 108108 270270 Using games won as the explanatory variable xx, do the following: (a)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT