CNNBC recently reported that the mean annual cost of auto insurance is 968 dollars. Assume the standarddeviation is 259 dollars, and the cost is normally distributed. You take a simple random sample of 36 autoinsurance policies. Round your answers to 4 decimal places.a. What is the distribution of X? X - N( 968259b. What is the distribution of ? I - N( 96843.1667c. What is the probability that one randomly selected auto insurance is less than $1015?0.5720d. a simple random sample of 36 auto insurance policies, find the probability that the average cost isless than $1015. 0,8619e. For part d), is the assumption of normal necessary? O YesNo

GivenMean(μ)=968standard deviation(σ)=259sample size(n)=36

Answered: CNNBC recently reported that the mean…

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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Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 115. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 650? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING... Question content area bottom Part 1 (a) Approximately 1.181.18% of the SAT verbal scores are less than 650. (Round to two decimal places as needed.) Part 2 (b) You would expect that approximately 0.880.88 SAT verbal scores would be greater than 550. (Round to the nearest whole number as needed.)
The table below shows the frequency distribution of the rainfall on 52 consecutive Fridays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? Choose the correct histogram below. O A. 30- Class Frequency 20- 0-0.19 20 10- 0.20 - 0.39 13 0- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 0.40 - 0.59 6 0.60 - 0.79 1 OB. 30- 0.80 – 0.99 1.00 – 1.19 5 20- 1.20 - 1.39 10- 0- 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 OC. 30- 20- 10- 0- 0.0 0'2 0.4 0.6 0.8 1.0 12 1.4
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It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is higher than 98.6° F. The temperatures for 12 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 100.1, 96.8, 98.7, 100, 99.1, 98.3, 97.5, 100.9, 99.1, 100, 98.1, 100.1 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Ha: Select an answer Select an answer c. The test statistic O Question Help: (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... There is sufficient evidence to conclude that the population mean body temperature for healthy adults is higher than 98.6° F. There is not sufficient…
A distribution has mean 100 and standard deviation 3. What is the largest percent of the data that is guaranteed to be between 40 and 160 93.75 96 97.44 99.75 99.99
M2
In a normal distribution, what z-score cuts off the top 65% of the distribution?a. z = 0.7422b. z = 0.2578c. z =0.39d. z = -0.39
Joey and Dee Dee bowled five games at the Rock 'n' Bowl Lanes. Their scores are given in the following table. Joey 143 170 219 157 146 Dee Dee 183 166 188 143 160 (a) Find the mean score of each bowler. (Round the answer to one decimal place.) Joey X = Dee Dee x = (b) Find the standard deviation of each bowler's scores. (Round the answer to one decimal place.) Joey S = Dee Dee s =
The average number of milligrams (mg)of cholesterol in a cup of certain brand of rice is 660 mg,the standard deviation is 35 mg.assume the variable is normally distributed .if a sample of 10 cups of ice cream is selected what is probable that the mean of the sample will be larger than 670 mg? Solution (Box your final answer)
z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?
Using your calculator, find the range and standard deviation, round to two decimals places:The table below gives the number of hours spent watching TV last week by a sample of 24 children. 90 50 46 31 52 83 51 90 72 47 25 57 53 62 65 89 35 49 32 21 77 30 91 13 Range = Standard Deviation =
A flooring company sells carpet by the metre off of a standard sized roll. The mean amount of carpet sold per month is known to have a normal distribution. If the probability of selling more than 1,000 metres per month is 0.0668 and the standard deviation is 100 metres, what is the mean amount of carpet sold? 900 1100 1150 850 The amount of coffee poured into a large coffee cup at the campus Tim Horton's has a distribution that is skewed to the right with a mean of 600 ml and a standard deviation of 50 ml. For a random sample of 100 large cups poured, what is the mean of the sampling distribution? 50 600 100 50 √100

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