CNNBC recently reported that the mean annual cost of auto insurance is 956 dollars. Assume the standarddeviation is 280 dollars, and the cost is normally distributed. You take a simple random sample of 38 autoinsurance policies. Round your answers to 4 decimal places.a. What is the distribution of X? X - N( 956280b. What is the distribution of ? T - N( 956c. What is the probability that one randomly selected auto insurance is more than $906?45.42200.5709d. a simple random sample of 38 auto insurance policies, find the probability that the average cost ismore than $906.e. For part d), is the assumption of normal necessary?YesNo o

Answered: Image /qna-images/answer/4987b01a-8c48-4b54-9dde-09b6bea1c63e.jpg

Answered: CNNBC recently reported that the mean…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Provide an appropriate response. Use the Standard Normal Table to find the probability. IQ test scores are normally distributed with a mean of 105 and a standard deviation of 11. An individual's IQ score is found to be 114. Find the z-score corresponding to this value. Round the answer to the nearest hundredth. O A. -0.82 OB. -1.22 O C. 0.82 O D. 1.22 C
What type of distribution is this : you measure the GPA of every student in a high school to the nearest thousandth?
Nurses wondered if birth weights of babies are going up. They knew that the average birth weight of a baby last year was 7.6 pounds. A random sample of 15 weights of babies at the hospital where the nurses work gave an average birth weight of 7.9 pounds. Nurses felt that the birth weights this year were normally distributed. Which of the following is true about the distribution of sample means? Choose the correct answer below. O A. Even though the sample size is less than 30, the distribution of sample means will be normal because the population data follow a normal distribution. OB. The distribution of sample means will be normal regardless of the shape of the data in the population. Oc. Since the sample size is less than 30, the population data cannot be normally distributed. Therefore, the distribution of sample means will not be normally distributed. D. The distribution of sample means will not be normal even though the population data followed a normal distribution because the…
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.)
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…
Please answer B, C, & D.
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 = girl(s). (Round to one decimal place as needed.)
The average number of kilos of meat a person consumes in a year is 90 kilos. Assume that the standard deviation is 10 kilos and the distribution is approximately normal. If a sample of 45 individuals is selected, find the probability that the mean of the sample will be 87 kilos or greater per year. Express your answer in percent form with 2 decimal places (with percent symbol - e.g. 10.00%) type your answer...
Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. O A. 0.9918 O B. 0.0082 O C. 0.2881 O D. 0.8989 ick to select your answer. DELL
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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