Ashworth STATISTICA MA260 Assignment

A researcher wishes to estimate the mean amount of money spent per month on food by households in a certain neighborhood. She desires a margin of error of $30. Past studies suggest that a population standard deviation of $248 is reasonable. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy. A. 274 B. 284 C. 264 D. 272A sample of nine students is selected from among the students taking a particular exam. The nine students were asked how much time they had spent studying for the exam and the responses (in hours) were as follows:18, 7, 10, 13, 12, 16, 5, 20, 21Estimate the mean study time of all students taking the exam. Round your answer to the nearest tenth of an hour if necessary. A. 13 hours B. 12.2 hours C. 13.6 hours D. It is not possible to estimate the population mean from this sample dataIn a poll, respondents were asked whether they had ever been in a car accident. 220 respondents indicated that they had been in a car accident and 370 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth. A. 0.384 B. 0.380 C. 0.373 D. 0.370A study of students taking Statistics 101 was done. Four hundred students who studied for more than 10 hours averaged a B. Two hundred students who studied for less than 10 hours averaged a C. This difference was significant at the 0.01 level. What does this mean? A. The probability that the difference was due to chance alone is greater than 0.01. B. There is less than a 0.01 chance that the first group’s grades were better by chance alone. C. The improvement was due to the fact that more people studied. D. There is not enough information to make any conclusion.A bag contains four chips of which one is red, one is blue, one is green, and one is yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random. Make a list of the possible outcomes (for example, RB represents the outcome red chip followed by blue chip) and use your list to determine the probability that the two chips selected are the same color. (Hint: There are 16 possible outcomes.) A. 1/4 B. 3/4 C. 2/16 D. 3/16Jody checked the temperature 12 times on Monday, and the last digit of the temperature was odd six times more than it was even. On Tuesday, she checked it 18 times and the last digit was odd eight times more than it was even. Determine which series is closer to the 50/50 ratio of odd/even expected of such a series of temperature checks. A. The Monday series is closer because 1/6 is closer to 1/2 than is 1/8. B. The Monday series is closer because 6/12 is closer to 0.5 than is 8/18. C. The Tuesday series is closer because the 13/18 is closer to 0.5 than is 9/12. D. The series closest to the theoretical 50/50 cannot be determined without knowing the number of odds and evens in each series.On a multiple choice test, each question has 6 possible answers. If you make a random guess on the first question, what is the probability that you are correct? A. 1/5 B. 1/6 C. 1/4 D. 2/5If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years. There are 365 days in a year. Express your answer as a fraction. A. 335/365 B. 334/365 C. 336/365 D. 30/365Suppose you pay $1.00 to roll a fair die with the understanding that you will get back $3.00 for rolling a 5 or a 2, nothing otherwise. What is your expected value? A. $1.00 B. $0.00 C. $3.00 D. ?$1.00The probability that Luis will pass his statistics test is 0.94. Find the probability that he will fail his statistics test. A. 0.02 B. 0.05 C. 0.94 D. 0.06Suppose you have an extremely unfair die: The probability of a 6 is 3/8, and the probability of each other number is 1/8. If you toss the die 32 times, how many twos do you expect to see? A. 2 B. 4 C. 3 D. 5A sample space consists of 46 separate events that are equally likely. What is the probability of each? A. 1/24 B. 1/46 C. 1/32 D. 1/18Sammy and Sally each carry a bag containing a banana, a chocolate bar, and a licorice stick. Simultaneously, they take out a single food item and consume it. The possible pairs of food items that Sally and Sammy consumed are as follows.chocolate bar – chocolate barlicorice stick – chocolate barbanana – bananachocolate bar – licorice sticklicorice stick – licorice stickchocolate bar – bananabanana – licorice sticklicorice stick – bananabanana – chocolate barFind the probability that no chocolate bar was eaten. A. 4/9 B. 5/9 C. 7/9 D. 5/8Suppose you have an extremely unfair coin: the probability of a head is 1/5, and the probability of a tail is 4/5. If you toss the coin 40 times, how many heads do you expect to see? A. 8 B. 6 C. 5 D. 4A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 560 college students showed that 27% of them had, or intended to, cheat on examinations. Find the 95% confidence interval. A. 0.2323 to 0.3075 B. 0.2325 to 0.3075 C. 0.2325 to 0.3185 D. 0.2323 to 0.3185Which graph has two groups of data, correlations within each group, but no correlation among all the data? A. B. C. D.Among a random sample of 150 employees of a particular company, the mean commute distance is 29.6 miles. This mean lies 1.2 standard deviations above the mean of the sampling distribution. If a second sample of 150 employees is selected, what is the probability that for the second sample, the mean commute distance will be less than 29.6 miles? A. 0.8849 B. 0.5 C. 0.1131 D. 0.1151