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Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15, the proportion of people with IQs less than 130 is .0228 O.4772 O .5000 O.9772A random sample of 16 new Ford Mustangs was selected from the assembly line to use to estimate the fuel economy of the model. Each vehicle was driven a total of 1,000 miles on a measured on a closed track for comparison. The number of gallons of fuel consumed for each vehicle was recorded. The average fuel consumption was found to be 51.6 gallons with a sample standard deviation of 1.7 gallons. The underlying distribution is symmetric. Construct the 99% condence interval around the mean fuel consumption. What amount of fuel consumption in this distance represents the lower bound of the 99% condence interval. Round your answer to the nearest whole gallon. Your Answer: :] Answer Suppose you want to estimate the true proportion of students at UWG who support weekend classes. You obtain a random sample of n=97 student responses. From that sample, you find that 0.4 percent of UWG students are in favor of weekend classes. Construct the 95% confidence interval around the proportion in favor of weekend classes. What is the upper bound value of the 95% confidence interval for this proportion? Enter your upper-bound proportion value as a decimal rounded to the 3rd place to the right of the decimal, e.g., .234, not 23.4. Your Answer: AnswerAccording to the Central Limit Theorem, with all else held constant, selecting a larger sample size will: O a) result in a smaller standard deviation of the sampling distribution. 0 b) result in a larger standard deviation of the sampling distribution. 0 c) increase the standard error of the sampling distribution. O d) increase all interval widths around the true population mean. The population of plaid horses has shrunk to only 20 animals, but our facility can only handle three animals at a time. If we take every possible sample of size n=3 from this population and calculated the sample mean weight for each sample of 3. If we calculate the average of all of those sample means: O a) Then we would end up with the exact mean of the overall population. O b) Then the mean of all possible sample means remains a random variable, whereas the population mean is not. O c) Then we would move toward the population mean, but only as we increase the size of the sample. 0 d) Then we can never know the true population mean for this population of rare horses. Suppose that the distribution of final grades in statistics class is normally distributed. What would be the probability of randomly selecting an individual student and finding that he/she has a final grade two or more standard deviations below the mean for the class? O a) .0228 O b) .2451 O c) .5000 O d) .0001Which of the following statements about two random samples drawn from the same population is most accurate? 0 a) May have the same sample mean. 0 b) May have two different sample means. 0 c) May have two different sample means, but both sample means tend be near the true population mean. 0 d) All of the other statements above are true. ' According to the label, a container of Joey's new sports drink Materade is supposed to contain 32 oz. The ll amount follows an unknown distribution with a standard deviation of 3.2 02. Quality control occasionally selects a random sample of 39 bottles. What is the z-value associated with a sample of 39 bottles with a sample mean ll amount of 31.9 02? Your Answer: :] Answer A sample of 25 cans of Del Monte whole kernel corn were randomly sampled from a packing line. The underlying distribution is symmetric. The average weight of corn kernels per can (before adding water) was found to be 369 grams, with a sample standard deviation of 20 grams. Construct the 95% condence interval. What is the value of corn kernel weight represents the upper bound of the 95% condence interval. Round your answer to the nearest whole gram. Your Answer: :]