MATH 221 Week 4 Quiz 2

MATH 221 Week 4 Quiz 2 | Devry University

Question 1

 (CO 3) The speed of cars on a stretch of road is normally distributed with an average 48 miles per hour with a standard deviation of 5.9 miles per hour. What is the probability that a randomly selected car is violating the speed limit of 50 miles per hour?  

·         0.21  

·         0.48  

·         0.63  

·         0.37

 

 Question 2

 (CO 3) A survey indicates that shoppers spend an average of 26 minutes with a standard deviation of 16 minutes in your store and that these times are normally distributed. Find the probability that a randomly selected shopper will spend less than 20 minutes in the store.  

·         0.65    

·         0.35  

·         0.62  

·         0.50

 

 Question 3

 (CO 3) The monthly utility bills in a city are normally distributed with a mean of $121 and a standard deviation of $23. Find the probability that a randomly selected utility bill is between $110 and $130.  

·         0.190  

·         0.316    

·         0.336  

·         0.348

 

 Question 4

 (CO 1) In a normally distributed data set of how long customers stay in your store, the mean is 50.3 minutes and the standard deviation is 3.6 minutes. Within what range would you expect 95% of your customers to stay in your store?  

·         39.5-61.1 

·         43.1-57.5 

·         48.5-52.1  

·         46.7-53.9

Question 5

 (CO 1) In a normally distributed data set with a mean of 19 and a standard deviation of 2.6, what percentage of the data would be between 13.8 and 24.2?  

·         68% based on the Empirical Rule  

·         68% based on the histogram  

·         95% based on the Empirical Rule  

·         95% based on the histogram

 

Question 6

 (CO 3) A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)?  

·         Probability of 0.96 and would not warrant a refund    

·         Probability of 0.04 and would warrant a refund  

·         Probability of 0.96 and would warrant a refund  

·         Probability of 0.04 and would not warrant a refund

 

Question 7

 (CO 3) On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches. Find the probability that a randomly selected part from this supplier will have a value between 87.5 and 107.5 inches. Is this consistent with the Empirical Rule of 68%-95%-99.7%?  

·         Probability is 0.05, which is consistent with the Empirical Rule  

·         Probability is 0.90, which is inconsistent with the Empirical Rule  

·         Probability is 0.90, which is consistent with the Empirical Rule  

·         Probability is 0.95, which is inconsistent with the Empirical Rule

 

 Question 8

 (CO 3) A process is normally distributed with a mean of 104 rotations per minute and a standard deviation of 8.2 rotations per minute. If a randomly selected minute has 118 rotations per minute, would the process be considered in control or out of control?  

·         Out of control as this one data point is more than two standard deviations from the mean  

·         In control as only one data point would be outside the allowable range 

·         Out of control as this one data point is more than three standard deviations from the mean

·         In control as this one data point is not more than three standard deviations from the mean

 

 Question 9

 (CO 3) The soup produced by a company has a salt level that is normally distributed with a mean of 5.4 grams and a standard deviation of 0.3 grams. The company takes readings of every 10th bar off the production line. The reading points are 5.8, 5.9, 4.9, 5.2, 5.0, 4.9, 6.2, 5.1, 6.7, 6.1. Is the process in control or out of control and why?  

·         It is out of control as one of these data points is more than 3 standard deviations from the mean  

·         It is in control as the values jump above and below the mean  

·         It is out of control as two of these data points are more than 2 standard deviations from the mean  

·         It is in control as the data points more than 2 standard deviations from the mean are far apart

 

Question 10

 (CO 3) The blenders produced by a company have a normally distributed life span with a mean of 8.2 years and a standard deviation of 1.3 years. What warranty should be provided so that the company is replacing about 6% of their blenders sold?  

·         6.2 years   

·         10.2 years  

·         6.9 years  

·         9.5 years

 

Question 11

 (CO 3) A puck company wants to sponsor the players with the 10% quickest goals in hockey games. The times of first goals are normally distributed with a mean of 12.56 minutes and a standard deviation of 8.73 minutes. How fast would a player need to make a goal to be sponsored by the puck company?  

·         3.83 minutes  

·         21.29 minutes  

·         23.75 minutes 

·         1.37 minutes

 

 Question 12

 (CO 3) A stock's price fluctuations are approximately normally distributed with a mean of $104.50 and a standard deviation of $23.62. You decide to purchase whenever the price reaches its lowest 15% of values. What is the most you would be willing to pay for the stock?  

·         $80.88  

·         $128.98  

·         $84.62 

·         $80.02

 

 Question 13

 (CO 3) The times that customers spend in a book store are normally distributed with a mean of 39.5 minutes and a standard deviation of 15.9 minutes. A random sample of 25 customers has a mean of 36.1 minutes. Would this outcome be considered unusual, so that the store should reconsider its displays?  

·         Yes, the probability of this outcome at 0.858 would be considered unusual, so the display should be redone  

·         Yes, the probability of this outcome at 0.142, would be considered unusual, so the display should be redone  

·         No the probability of this outcome at 0.415 would be considered usual, so there is no problem    

·         No, the probability of this outcome at 0.142, would be considered usual, so there is no problem

 

 Question 14

 (CO 3) The weights of ice cream cartons are normally distributed with a mean weight of 20 ounces and a standard deviation of 0.5 ounces. You randomly select 25 cartons. What is the probability that their mean weight is greater than 20.06 ounces?  

·         0.548  

·         0.452  

·         0.274 

·         0.726

 

 Question 15

 (CO 3) Recent test scores on the Law School Admission Test (LSAT) are normally distributed with a mean of 162.4 and a standard deviation of 15.9. What is the probability that the mean of 8 randomly selected scores is less than 160?  

·         0.335

 

·         0.440  

·         0.665  

·         0.560

 

 Question 16

 (CO 3) The mean annual salary for intermediate level executives is about $74000 per year with a standard deviation of $2500. A random sample of 36 intermediate level executives is selected. What is the probability that the mean annual salary of the sample is between $71000 and $73500?  

·         0.115  

·         0.008  

·         0.306  

·         0.076

 

 Question 17

(CO 3) In captivity, a male lion grows to weight about 420 lbs with a standard deviation of 35 lbs.  A zoo would like to have a lion that is in the largest 15% of male lions based on weight.  How much should a male lion weigh for the zoo to obtain the male lion?  

·         456.3  

·         426.6  

·         383.7  

·         413.4

 

 Question 18

 (CO 3) The average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet.  What is the largest a bedroom can be and be among the smallest 20% of bedrooms in a home?  

·         191.6 sq ft  

·         227.2 sq ft 

·         200.5 sq ft  

·         210.8 sq ft