8th-ed Chap 02, Sec 2.2, Problem 018 The accompanying table lists the 2010 median household incomes, rounded to the nearest dollar, for all 50 states and the District of Columbia. 2010 Median Household Income (dollars) State 40,976 MT 58,198 NE 47,279 NV 38,571 NH 54,459 NJ 60,442 NM 66,452 NY 55,269 NC 55,528 ND 44,243 OH 44,108 OK 58,507 OR 47,014 PA 50,761 RI 46,322 SC 49,177 SD 46,229 TN 41,236 TX 39,443 UT 48,133 VT 64,025 VA 61,333 WA 2010 Median Household Income (dollars) How to calculate these problems? The following data give the prices of seven textbooks randomly selected from a university bookstore. $9 4 $171 $10 4 $114 $5 1 $163 $143 a. Find the mean for these data. Calculate the deviations of the data values from the mean. Is the sum of these deviations zero? Mean = $ Deviation from the mean for $171 = $ Sum of these deviations = $ b. Calculate the range, variance, and standard deviation. [Round your answers to 2 decimal places.] Range = $ Variance = Standard deviation = $ The one-way commuting times from home to work for all employees working at a large company have a bell-shaped curve with a mean of 32 minutes and a standard deviation of 7 minutes. Using the empirical rule, find the approximate percentages of the employees at this company who have one-way commuting times in the following intervals. a. 11 to 53 minutes % b. 25 to 39 minutes % c. 18 to 46 minutes % Chapter 03, Section 3.5, Problem 069a The following data give the speeds of 13 cars, measured by radar, traveling on I-84. 73 75 70 68 78 70 76 72 82 66 76 71 74 Find the values of the three quartiles and the interquartile range. Q1= Q2= Q3= IQR= Chapter 04, Section 4.1, Problem 009a In a group of adults, some own iPads, and others do not. Indicate whether the following is a simple or a compound event. Assume two persons are selected randomly. One person has an iPad and the other does not. Chapter 04, Section 4.1, Problem 009b In a group of adults, some own iPads, and others do not. Indicate whether the following is a simple or a compound event. Assume two persons are selected randomly. At least one person has an iPad. Chapter 04, Section 4.1, Problem 009c In a group of adults, some own iPads, and others do not. Indicate whether the following is a simple or a compound event. Assume two persons are selected randomly. Not more than one person has an iPad. Chapter 04, Section 4.1, Problem 009d In a group of adults, some own iPads, and others do not. Indicate whether the following is a simple or a compound event. Assume two persons are selected randomly. The first person has an iPad and the second does not. Chapter 04, Section 4.2, Problem 021 A random sample of 932 adults showed that 35 of them have shopped at least once on the Internet. What is the (approximate) probability that a randomly selected adult has shopped on the Internet? Round your answer to three decimal places. the tolerance is +/-2% Chapter 04, Section 4.3, Problem 036 Six hundred adults were asked whether or not they watch for calories and fat content when they buy groceries. The following table gives the two-way classification of their responses, where yes means that an adult watches for calories and fat content and no means he/she does not watch. Yes No No Opinion 79 167 54 Women 109 123 68 Men Give exact answers in fraction form. a. If one adult is randomly selected from these 600 adults, find the probability that this adult i. is a man Probability = ii. does not watch for calories and fat content Probability = iii. watches for calories and fat content given that this adult is a woman Probability = iv. is a man given that this adult has no opinion Probability = b. Are events men and yes mutually exclusive? What about yes and no opinion? c. Are events men and no independent? SUBMIT ANSWER Chapter 05, Section 5.2, Problem 07d The following table gives the probability distribution of a discrete random variable x. x 0 1 2 3 4 5 6 P(x) 0.12 0.18 0.27 0.15 0.13 0.09 0.06 Find P(1x4). P(1x4)= exact number, no tolerance Chapter 05, Section 5.3, Problem 021 The H2 Hummer limousine has eight tires on it. A fleet of 1218 H2 limos was fit with a batch of tires that mistakenly passed quality testing. The following table lists the frequency distribution of the number of defective tires on the 1218 H2 limos. Number of defective tires 0 1 2 3 4 5 6 7 8 Number of H2 limos 67 217 332 312 195 73 14 5 3 Construct a probability distribution table for the numbers of defective tires on these limos. Round your answers to three decimal places. x P(x) 0 1 2 3 4 5 6 7 8 Calculate the mean and standard deviation for the probability distribution you developed for the number of defective tires on all 1218 H2 Hummer limousines. Round your answers to three decimal places. There is an average of defective tires per limo, with a standard deviation of tires. Chapter 06, Section 6.1, Problem 013 Find the area under the standard normal curve between z=-2.88 and z=-1.67. Round your answer to four decimal places. A= the tolerance is +/-2% SUBMIT ANSWER Chapter 06, Section 6.1, Problem 015a Obtain the area under the standard normal curve to the right of z=1.37. Round your answer to four decimal places. A= the tolerance is +/-2% SUBMIT ANSWER Chapter 06, Section 6.2, Problem 019a Find the z value for x=44 for a normal distribution with =30 and =5. Enter the exact answer. z= exact number, no tolerance SUBMIT ANSWER Chapter 06, Section 6.2, Intelligent Tutoring Problem 023 Compute probabilities. Recall the following definitions from section 6.4 of the text. The area under the normal curve from x = a to x = b with given mean and standard deviation is the probability that x assumes a value between x = a and x = b. If we are using Table IV in Appendix C, we need to standardize the random variable x using the formula z = (x )/, before using the table. Alternatively, you may use a graphing calculator to obtain more accurate calculations without standardizing the random variable x. For example, using a TI83 plus we calculate the area under the normal curve from x = a to x = b by using the normalcdf(a,b,,) where is the mean and is the standard deviation of the normal distribution. We use 1E99 for and 1E99 for , if needed. Chapter 06, Section 6.2, Intelligent Tutoring Problem 023 Let x be a continuous random variable that is normally distributed with a mean of 24 and a standard deviation of 5. Round your answers to two decimal places. (a) Standardize the variable value x = 26.1. z= (b) Standardize the variable value x = 49.0. z= Chapter 06, Section 6.2, Intelligent Tutoring Problem 023 The parts of this question must be completed in order. This part will be available when you complete the part above. Chapter 06, Section 6.2, Intelligent Tutoring Problem 023 The parts of this question must be completed in order. This part will be available when you complete the part above. Chapter 06, Section 6.2, Intelligent Tutoring Problem 023 The parts of this question must be completed in order. This part will be available when you complete the part above. Chapter 07, Section 7.1, Video Quiz 1 Please view the following video before answering this question. Distribution of the Sample Mean The 5 ages of the population have one mean. However, when looking at the 10 samples of 3 of those means, there are 10 means - one for each sample. State the symbols for the one mean and then the 10 means. , x. , . x, x. x, . SUBMIT ANSWER Chapter 08, Section 8.2, Problem 013abc The standard deviation for a population is =6.97. A random sample selected from this population gave a mean equal to 49.42. Determine a 95% confidence interval for assuming n=196. Round your answers to two decimal places. to Chapter 09, Section 9.1, Problem 007 Write the null and alternative hypotheses for the following example. Determine if the example is a case of a two-tailed, a left-tailed, or a right-tailed test. To test whether or not a bank's ATM is out of service for an average of more than 10 hours per month. H0: =10 hours per month, H1: >10 hours per month, left-tailed test H0: 10 hours per month, H1: =10 hours per month, two-tailed test H0: =10 hours per month, H1: <10 hours per month, left-tailed test h0: 10 h1: <10 two-tailed>10 hours per month, right-tailed test SUBMIT ANSWER Chapter 09, Section 9.1, Problem 008 Write the null and alternative hypotheses for the following example. Determine if it is a case of a two-tailed, a left-tailed, or a right-tailed test. To test whether the mean starting salary of college graduates differs from 45,000 dollars per year. H0: dollars H1: dollars This is a . Chapter 09, Section 9.2, Problem 015 Consider H0: =72 versus H1: >72. A random sample of 16 observations taken from this population produced a sample mean of 76.0. The population is normally distributed with =6. a. Calculate the p-value. Round your answer to four decimal places. p= b. Considering the p-value of part a., would you reject the null hypothesis if the test were made at the significance level of 0.01? c. Considering the p-value of part a., would you reject the null hypothesis if the test were made at the significance level of 0.025? the tolerance is +/-2% Chapter 09, Section 9.2, Problem 022 Consider H0: =100 versus H1: 100. A random sample of 65 observations produced a sample mean of 99. Using =0.1, would you reject the null hypothesis? The population standard deviation is known to be =12