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- For the following exercises, assume two die are rolled. 47. Construct a table showing the sample space.Show the sample space of the experiment: toss a fair coin three times.Answer the following questions. 5. What is the term for the arrangement that selects r objects from a set of ii objects when the order of the r objects is not important? What is the formula for calculating the number of possible outcomes for this type of arrangement?
- A random sample of householders were classified using the characteristics namely Digital TV and Smart TV and results recorded as follows: Owner occupierCouncil TenantPrivate Tenant Smart TV946753 Digital TV13011145 Black/ White TV806526 Test for independent at 5%.A manufacturing company that produces laminate for countertops is interested in studying the relationship between the number of hours of training that an employee receives and the number of defects per countertop produced. Ten employees are randomly selected. The number of hours of training each employee has received is recorded and the number of defects on the most recent countertop produced is determined. The results are as follows. Hours of Training Defects per Countertop 1 5 4 1 7 0 3 3 2 5 2 4 5 1 5 2 1 8 6 2 Copy Data The estimated regression line and the standard error are given. Defects per Countertop=6.717822−1.004950(Hours of Training)se=1.229787se=1.229787 Suppose a new employee has had 5 hours of training. What would be the 90% prediction interval for the number of defects per countertop? Round your answer to two decimal places.The random digit table is applied here for part a)
- A researcher uses a chi-square test for goodness of fit to evaluate preferences among four leading brands of ice cream. The chi-square test for this study will have df = 3. Group of answer choices True FalseBoth Spinner A and Spinner B have equal-sized sections, as shown at the right. Make a table to represent the sample space when both spinners are spun.Based on a Pitney Bowes survey, assume that 42% of consumers are comfortable having dronesdeliver their purchases. Five consumers are randomly selected from the population that wassurveyed. d) Use the range rule of thumb to determine if 4 of the 5 consumers being comfortable withdrone deliveries is significantly high.
- The manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller than the proportion of households from B. In order to test this, the manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.Due to a manufacturing error,ten cans of regular soda were accidentally filled with diet soda and placed into a 36-pack. Suppose that two cans are randomly selected from the 36-pack. Complete parts (a) through (c).Nationally, the proportion of red cars on the road is 0.12. A statistically-minded fan of the Philadelphia Phillies (whose team color is red) wonders if fans who park at Citizens Bank Park (the Phillies home field) are more likely to drive red cars. One day during a home game, he takes an SRS of 210 cars parked in the lot while a game is being played, and counts 35 red cars. (There are 21,000 parking spaces.) Is this convincing evidence that Phillies fans prefer red cars more than the general population? Provide statistical evidence to support your conclusion. Use the 4-step process.
