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A: Recall: Area of the Rectangle ,A = L×B ; where L-length and B- width of the rectangle.
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A: Explanation of the answer is as follows
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A: In a right-triangle shaped house, the roof is 51 feet long and the base of the house is 29 feet…
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A: Proceed as shown below
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A: detailed solution is given below
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- An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in a cities that are hybrids. Is it sufficient for him to use a simple random sample of 114 cars of hyper is currently a count for 8% of the car sales in the country, and he claims that the percentage of hybrids in the city is higher than that.The principal of a certain high school claims that 85% of all the students is in favor of the new school uniform. A Statistics teacher asked his students to verify the claim. Suppose that 451 out of the 550 randomly selected students indicated that they are in favor of the new school uniform. At 0.05 level of significance, is there enough evidence to conclude that the percentage of students who are in favor of the new uniform is different from 85%?An urban community would like to show that the incidence of breast cancer is higher in their area than in a nearby rural area. (PCB levels were found to be higher in the soil of the urban community.) If it is found that 20 of 200 adult women in the urban community have breast cancer and 10 of 150 adult women in the rural community have breast cancer, can we conclude at the 0.05 level of significance that breast cancer is more prevalent in the urban community? State the null and alternative hypotheses.
- Suppose a group of researchers attempt to confirm the result of "Distractions in Everyday Driving," covered in News Story 5 "Driving while distracted is common, researchers say," by recreating the study. In a random sample or 240male drivers,102indicated they have experienced external distractions while driving. In addition, in a random sample of 270 female drivers, 98 indicated they have experienced external distractions while driving. Test whether the population proportion of male drivers experiencing external distractions while driving was greater than the population proportion of female drivers experiencing external distractions while driving. Use a .05 level of significance. A. What assumptions are required for conducting this test. B. State the null and alternative hypotheses (both mathematical notation and words) C. Calculate the test statistics (by hand) D. Give the P-value associated with the hypothesis test in part (a). E. State the conclusion, using p-value approach.A researcher hypothesized that people are more likely to be aggressive when they are criticized than when they are not. The researcher randomly assigned participants to one of two groups: 1) in group 1 participant's essay was given a negative rating, and 2) in group 2 participant's essay was given a positive rating. Then the researcher monitored how many loud blasts participants delivered in a confederate's earphones in the next room. One person dropped out of the study, so that there were 8 people in treatment condition 1 (n1 = 8) and 7 people in treatment condition 2 (n2 = 7). The alpha was .05. The mean number of blasts for Group 1 was 6.8 (SS = 80) and the mean number of blasts for Group 2 was 3.5 (SS = 78). What is the alternative hypothesis for this study? Is this a directional or non-directional hypothesis? The critical t is ___________. The calculated t is _______.A poll conducted for Newsweek found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high, so they conducts their own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, do you agree with the Newsweek poll? Also, give three reasons why the two polls might give different results.
- Match the description of paired charctereristics in the answer bank to the most reasonable description of the correction between them.In the past decade, two presidential elections in the United States have witnessedvery long wait times at precincts (voting stations) in states that ultimately decidedthe election (Florida in 2000 and Ohio in 2004).In Philadelphia as well, some voters complained about the long lines in someprecincts, with most complaints coming from precinct A. In 2004, the averagenumber of voters arriving at Precinct A was 35 per hour and the arrivals of voterswas random with inter-arrival times that had a coefficient of variation of 1 (CVa=1).Philadelphia deployed 1 voting machine in Precinct A. Suppose that each voterspent on average 100 seconds in the voting booth (this is the time needed to casther/his vote using a voting machine), with a standard deviation of 120 seconds.Q1. How long on average did a voter have to wait in line at precinct A in 2004 beforeentering a booth to cast her/his vote?Given the long wait times for Precinct A, the city of Philadelphia is thinking ofalternative solutions to…In the past decade, two presidential elections in the United States have witnessedvery long wait times at precincts (voting stations) in states that ultimately decidedthe election (Florida in 2000 and Ohio in 2004).In Philadelphia as well, some voters complained about the long lines in someprecincts, with most complaints coming from precinct A. In 2004, the averagenumber of voters arriving at Precinct A was 35 per hour and the arrivals of voterswas random with inter-arrival times that had a coefficient of variation of 1 (CVa=1).Philadelphia deployed 1 voting machine in Precinct A. Suppose that each voterspent on average 100 seconds in the voting booth (this is the time needed to casther/his vote using a voting machine), with a standard deviation of 120 seconds. Q3. Under Proposal 1, at precinct A, what would be the ratio of the average numberof people voting (at a booth) over the average number of people in the line(waiting)? Please show and explain this problem.
- It has been reported that 65% of the U.S. adult population play video games in their leisure time. A random sample of 195 U.S. adults found that 125 played video games. At α = 0.01, is there sufficient evidence to conclude that the proportion differs from 65%? What is the test statistic for this hypothesis test? It has been reported that 65% of the U.S. adult population play video games in their leisure time. A random sample of 195 U.S. adults found that 125 played video games. At α = 0.01, is there sufficient evidence to conclude that the proportion differs from 65%? What is the test statistic for this hypothesis test? 0.7927 -0.2627 -0.3964 0.6036A gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the gender-selection technique, 892 births consisted of 450 baby girls and 442 baby boys. In analyzing these results, assume that boys and girls are equally likely.A research center claims that 24% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 26% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim?