Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. Ananalysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 30 dollars anda standard deviation of 9 dollars.A. What proportion of the bank's Visa cardholders pay more than 34 dollars in interest?Proportion =B. What proportion of the bank's Visa cardholders pay more than 40 dollars in interest?Proportion%3DC. What proportion of the bank's Visa cardholders pay less than 19 dollars in interest?Proportion%3DD. What interest payment is exceeded by only 22% of the bank's Visa cardholders?Interest Payment

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Answered: Because of the relatively high interest…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In the 1992 presidential election, Alaska's 40 election districts averaged 1824 votes per district for President Clinton. The standard deviation was 573. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.a. What is the distribution of X? X ~ N(,)b. Is 1824 a population mean or a sample mean? c. Find the probability that a randomly selected district had fewer than 1872 votes for President Clinton. d. Find the probability that a randomly selected district had between 1842 and 2091 votes for President Clinton. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.
Internet providers: In a survey of 992 homeowners with high-speed Internet, the average monthly cost of a high-speed Internet plan was $65.8 with standard deviation $11.14. Assume the plan costs to be approximately bell-shaped. Estimate t number of plans that cost between $43.52 and $88.08. Round to the nearest whole number. The number of plans that cost between $43.52 and $88.08 is
Based on data from the 2000 Census the average age of a Baldwin County, Alabama resident is 39 years with a standard deviation of 22. 6 . The data is normally distributed. The median age, in years, is: Group of answer choices 23 29 39 20
Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. Use technology to find the range, variance, and standard deviation. If another value, 8.00, is added to those listed in the data set, do the measures of variation change much? 3.272.452.542.432.752.372.192.421.911.432.851.731.992.322.332.704.742.873.382.722.833.423.952.993.873.473.082.942.703.602.842.373.033.232.593.643.242.662.352.432.813.952.522.922.983.412.272.562.933.162.201.151.934.002.542.832.352.311.522.801.951.602.452.332.081.553.201.491.812.551.662.352.452.082.192.752.002.792.392.671.692.881.841.991.862.561.972.183.671.553.162.461.881.502.793.283.822.752.452.712.541.642.183.032.361.481.922.322.651.411.391.802.242.302.481.732.402.442.482.44
Lunch break: In a recent survey of 655 working American ages 25-34, the average weekly amount spent on lunch was $44.60 with standard deviation $2.81. The weekly amounts are approximately bell-shaped. a. Estimate the percentage of amounts that are between $36.17 and $53.03. b. Estimate the percentage of amounts that are between $41.79 and $47.41. c. Between what two values will approximately 95% of the amounts be?
On average, accountants earn approximately an average of $6500 per year in the United States. Assume that the distribution for electricians’ yearly earnings is normally distributed and that the standard deviation is $8680. Given a sample of 64 electricians, what is the standard deviation for the sampling distribution of the sample mean? a. 1205 b. 8680 c. 6000 d. 1085
The weights for newborn babies is approximately normally distributed with a mean of 6.1 pounds and a standard deviation of 1.8 pounds. Use the Cumulative Z-Score Table to answer the questions below. Write your answers rounded to the nearest whole number. Consider a group of 1200 newborn babies: • How many would you expect to weigh between 7.72 and 9.34 pounds? • How many would you expect to weigh less than 9.7 pounds? How many would you expect to weigh more than 6.37 pounds? How many would you expect to weigh between 6.1 and 7.54 pounds?
According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 2.1, 3.4, 1.9, 3, 2.5, 2.6, 0.2, 3.4, 1.2, 1.7, 3, 1, 0.2 What can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
The SAT and ACT college entrance exam are taken by thousands of students each year. The mathematics portions of each of these exams produce scores that are approximately normally distributed. In recent years, SAT mathematics exam scores have averaged 480 with standard deviation 100. The average and standard deviation for ACT mathematics scores are 18 and 6, respectively. a. An engineering school sets 550 as the minimum SAT math score for new students. What percentage of students will score below 550 in a typical year? b. What score should the engineering school set as a comparable standard on the ACT math test?
Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. Use technology to find the range, variance, and standard deviation. If another value, 8.00, is added to those listed in the data set, do the measures of variation change much? 3.30 2.77 2.80 1.96 1.69 2.54 2.43 3.44 3.92 1.58 2.87 1.63 2.56 3.95 2.50 2.44 1.82 2.19 2.44 2.99 2.92 2.35 1.98 3.06 2.78 3.86 2.95 2.07 1.86 2.36 2.37 3.46 3.45 1.54 2.54 1.49 2.22 3.06 2.27 3.20 1.96 1.91 2.40 2.95 2.61 1.49 2.16 2.33 1.91 2.70 2.92 1.80 3.66 2.69 1.43 3.60 3.13 2.56 1.54 1.41 2.83 2.85 2.20 1.68 3.18 1.38 1.73 2.37 1.15 2.35 2.46 1.81 2.01 3.00 1.94 2.42 1.85 2.24 2.35 3.22 3.97 2.10 1.48 2.31 2.31 2.62 2.55 2.20 2.77 2.46 2.69 3.57 2.84 2.75 3.26 1.74 4.72 3.23 2.36 2.00 3.83 2.41 2.88 2.67 2.32 2.80 2.80 2.40 3.41 2.34 1.49 2.41 2.45 2.50 2.73 2.44 2.78 2.65 2.68 2.43 Without the extra data value, the range is 3.573.57. (Type an integer or…
Approximately 10% of people in the U.S. earn an income of $200,000 per year or higher. If income were normally distributed, and the mean income is $40,000 per year, what is the standard deviation of income in the U.S.? (Note. these figures are not accurate.)
Find the mean, median, standard deviation, and variance of the sample data. Also, from the original data set, find the values of the range and sample size. Identify the modal class (the one with the highest frequency). The statistics should be rounded properly- to the nearest hundredth

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