A housing survey was conducted to determine the price of a typical home in Topanga, CA. The mean price of a house was roughly $1.3 million with a standard deviation of $300,000. There were no houses listed below $600,000 but a few houses above $3 million. (a) Is the distribution of housing prices in Topanga symmetric, right skewed, or left skewed? Hint: Sketch the distribution. " left skewed 0 right skewed (\"g symmetric \\/ 0' b Would ou ex ct most houses in To an a to cost more or less than 1.3 million? A more (c) What is the probability that the mean of 60 randomly chosen houses in Topanga is more than $1.4 million? E] (please round to four decimal places) Question Help: D Post to forum Submit All Parts Each year about 1500 students take the introductory statistics course at a large university. This year scores on the final exam are distributed with a median of 74 points, a mean of 70 points, and a standard deviation of 10 points. There are no students who scored above 100 (the maximum score attainable on the final) but a few students scored below 20 points. a. Is the distribution of scores on this final exam 5 mmetric ri-ht skewed or left skewed? 0 left skewed (f; right skewed CV symmetric 0" b. Would ou ex-ect most students to have scored above or below 70 noints? c. What is the probability that the average score for a random sample of 40 students is above 75? :] (please round to four decimal places) Question Help: D Post to forum Submit All Parts The distribution of weights of United States pennies is approximately normal with a mean of 2.5 grams and a standard deviation of 0.03 grams. a. What is the probability that a randomly chosen penny weighs less than 2.4 grams? :] (please round to four decimal places) b. Describe the sampling distribution of the mean weight of 10 randomly chosen pennies. Mean: :] grams (please round to one decimal place) Standard Deviation: :] grams (please round to four decimal places) c. What is the probability that the mean weight of 10 pennies is less than 2.4 grams? :] (please round to four decimal places) Question Help: D Post to forum Submit All Parts A population of values has a normal distribution with p = 54.4 and a" = 3.5. You intend to draw a random sample of size n = 76. Find the probability that a single randomly selected value is between 53.3 and 55.2. P(53.3 547.2) = I: Enter your answer as a number accurate to 4 decimal places. If 15 of the students are randomly selected, find the probability that their mean score is at least 547.2. Po? > 547.2) = [3 Enter your answer as a number accurate to 4 decimal places. If the random sample of 15 students results in a mean score of 547.2, is there strong evidence to support the claim that the course is actuall effective? 0 No. A probability of greater than or equal to .05 indicates that is is possible by chance alone to randomly select a group of students with a mean as high as 547.2. A Yes. A probability of less than .05 indicates that is is unlikely that by chance, a randomly selected group of students would get a mean as high as 547.2. 65" Question Help: D Post to forum Submit
