CNNBC recently reported that the mean annual cost of auto insurance is 1050 dollars. Assume the standarddeviation is 219 dollars, and the cost is normally distributed. You take a simple random sample of 8 autoinsurance policies. Round your answers to 4 decimal places.a. What is the distribution of X? X - NOb. What is the distribution of x? x - N(c. What is the probability that one randomly selected auto insurance is less than $996?d. a simple random sample of 8 auto insurance policies, find the probability that the average cost is lessthan $996.e. For part d), is the assumption of normal necessary? O Yes No> Next Question

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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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Suppose you have a distribution with a mean equal to 10, median equal to 20, and mode equal to 30. Positive skew, negative skew, or no skew?
The average price of a college math textbook is $162 and the standard deviation is $27. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ~ N( b. For the group of 10, find the probability that the average price is between $161 and $167. c. Find the 95th percentile for the average textbook price for this sample size. $ (round to the nearest cent) d. Find the 95th percentile for an individual textbook price. (round to the nearest cent) $ e. For part b), is the assumption that the distribution is normal necessary? YesO No
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…
Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births. Click the icon to view the data table. The mean is u= girl(s). (Round to one decimal place as needed.) The standard deviation is o = e# girl(s). (Round to one decimal place as needed.) Table of numbers of girls and probabilities Number of Girls x 0 1 2 3 4 5 6 7 8 átv P(x) 0.004 0.034 0.117 0.218 0.278 0.217 0.102 0.027 0.003 D - X NiZ Next
A uniform distribution has endpoints of 3 and 12. A. Determine the probability that a randomly selected value is either less than 4 or greater than 9. Report answer to 3 decimal places. B. Determine the value of the 70th percentile. Report answer to 1 decimal place.
Transforming an entire distribution of scores into z-scores will not change the shape of the distribution. a. True b. False
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
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
A study found that there was 48% chance that the driver fails a breathalyzer test when it is administered on a Friday night. The test is administered to 80 drivers. What distribution that can be used to model the above situation. How many drivers do we expect to fail the test
A survey was conducted two years ago asking college students their top motivations for using a credit card. To determine whether this distribution has changed, you randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the claimed or expected distribution? Use a=0.10. Complete parts (a) through (d). New Survey Frequency, f 111 97 Response Old Survey % Rewards 29% 23% Low rates Cash back Discounts Other 22% 108 8% 46 18% 63 UD. XX O D. X Xo 2 OC. X >Xo OC. X>x (c) Calculate the test statistic. (Round to three decimal places as needed.) %3D (d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. V the claimed or ▼enough evidence to conclude that the distribution of motivations Ho At the 10% significance level, there expected distribution.
You roll 36 dice over and over. what is standard error of sampling distribution of x-bar (the mean)?
7a. Suppose you go to Alaska in February where the chance of snow is .90 (90 percent). You are there for two days. Make the probability distribution associated with this experience. b. Find the mean, variance, and standard deviation for number 7.

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