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- Question Richard bought 3 slices of cheese pizza and 2 sodas for 8.75 Jordan bought 2 slices of cheese pizza and 4 sodas for 8.50 How much would an order of 1 slice of cheese pizza and 3 sodas cost? 3.25 5.25 7.75 17.25
- There are 104 students in Professor Negroponte's statistics class, 49 math majors and 55 statistics majors.Sixty of the students live in the dorms and the rest live off campus. Twenty of the math majors live off-campus. At the beginning of cach day that Professor Negroponte's class meets, he randomly selects a member of the class to present the solution to a homework problem. Suppose the class meets 40 times during the semester and the selections are made with (3) replacement. Let X= the number of times a statistics major is selected to present a solution. (a) Is X a binomial random variable? Justify your answer. No. While the number of outcomes are binary.the trials are independent,and there is a fixed n, the probability of a success is not the same for cach trial. Yes. The number of outcomes are binary, the trials are independent, there is a fixed n.the probability of a success is the same for cach trial. Yes. The number of outcomes are binary, the trials are not independent,there is not a fixed n, the probability of a success is not the same for cach trial. No. While the number of outcomes are binary,there is a fixed n, and the probability of a success is the same for each trial, the trials are not independent. (b) Calculate the mean of X. square Round to two decimal places. (c) Calculate the standard deviation of X. square Round to two decimal places.
- A newborn baby has extremely low birth weight (ELBW) if it weighs less than 1000 grams.A study of the health of such children in later years examined a random sample of 219 children. Their mean weight at birth was bar (x)=810grams. This sample mean is an unbiased estimator of the mean weight mu in the population of all ELBW babies, which means that as we take larger and larger samples from this population, bar (x) will get closer and closer to mu . in all possible samples of size 219 from this population, the values of bar (x) will have a distribution that is close to Normal. in all possible samples of size 219 from this population, the mean of the values of bar (x) will equal 810. in all possible samples of size 219 from this population, the mean of the values of bar (x) will equal mu .
- A study of the health of teenagers plans to measure the blood cholesterol levels of an SRS of 13- to 16-year-olds. The researchers will report the mean bar (x) from their sample as an estimate of the mean cholesterol level in this population. What does it mean to say that bar (x) is an unbiased estimator of mu ' If we chose many SRSs and calculated the sample mean bar (x) for each sample, the distribution of bar (x) would be centered at the value of mu . This means that in repeated simple random samples from the same population the value of the sample mean will vary. This means that the mean of the population will always be close to the value of the sample mean. If we select an SRS and calculate the sample mean, the sample mean will equal mu .
- A polling organization plans to ask a random sample of likely voters who they plan to vote for in an upcoming election. The researchers will report the sample proportion hat (p) that favors the incumbent as an estimate of the population proportion p that favors the incumbent. What does it mean to say that hat (p) is an unbiased estimator of p? This means that the sample proportion will overestimate the population proportion when the distribution is skewed to the right and will underestimate the population proportion when the distribution is skewed to the left. This means that the proportion of the population will always be close to the value of the sample proportion. If we select an SRS and calculated the sample proportion, the sample proportion will equal the population proportion. If we chose many SRSs and calculated the sample proportion hat (p) for each sample, the distribution of hat (p) would be centered at the value of p