The weight of trucks traveling on a particular section of l-475 has a population mean of 15.8 tons and apopulation standard deviation of 9.2 tons. What is the probability a state highway inspector could select asample of 49 trucks and find the sample mean to be 14.3 tons or less?Multiple Choice0.12710.48410.01590.3729

Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Answered: The weight of trucks traveling on a…

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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given the data set 12,3,5,9,8,10,7,9 Find sample standard deviation using the short cut cut formula and verify the answer using TI 84.
The University of Montana admission standards require students to have an ACT score of at least 22. We know that Montana ACT scores are normally distributed with a mean of 20.1 and a standard deviation of 4. A: Students in Oregon have a mean ACT score of 21.1 with a standard deviation of 2.8. If we chose one student each at random from Oregon and from Montana, which student would be more likely to meet the ACT requirements of the University of Montana? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution. B: We know that the Montana ACT scores are normally distributed with a mean of 20.1 and a standard deviation of 4. Assume that the top 2% of individuals in the state are eligible for a state-funded scholarship. What score does an individual need on the ACT to be eligible? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution
calculate the standard deviation of the following four observations: 13,14,16,18
Diastolic blood pressure. In a study of 500 men, diastolic blood pressure was found to be approximately normally distributed, with a mean of 82 millimeters (mm) of mercury and standard deviation of 10 millimeters. a. Use the 68–95–99.7% rule to determine what percentage of the test group had a diastolic pressure between 72 millimeters and 92 millimeters of mercury. b. Use your answer to part a to determine how many men in the test group had a diastolic pressure between 72 millimeters and 92 millimeters of mercury.
An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 49 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do the data support your claim at the 1% level? Answer using the following format: a. H0: _______ b. Ha: _______ c. In words, CLEARLY state what your random variable X represents. d. State the distribution to use for the test. e. What is the test statistic? f. What is the p-value? In one or two complete sentences, explain what the p-value means for this problem. g. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate…
distributed with a mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a. less than 48.5 mm? b. between 50 and 55 mm? 3. A highway study of 8000 vehicles that passed by a checkpoint found that their speeds were normally distributed, with a mean of 61 mph and a standard deviation of 7 mph. a. How many of the vehicles had a speed of more than 68 mph? b. How many of the vehicles had a speed of less than 40 mph? 4. The results of a state-wide examination of the reading skills of sixth-grade students were normally distributed, with a mean score of 104 and a standard deviation of 16. The students in the top 10% are to receive an award, and those in the bottom 14% will be required to take a special reading class. a. What score does a student need in order to receive an award? b. What is the cut-off score that will be used to determine whether a student will he
Suppose that the daily intake of an adult follows a uniform distribution from 40 to 65 micrograms. Suppose that 36 adults are randomly selected. What is the mean and standard deviation of the average intake for 36 adults. a. Mean= 52.5 stvdev = 1.2 b. Mean = 55 stvdev= 7.22c. Mean = 52.5 stvdev = 2.08 d. Mean= 52.5 stvdev = 7.22
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.996 gallon. Complete parts (a) through (d) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.01.) Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H, . Ho: H What is the test statistic? ZSTAT = (Round to two decimal places as needed.) What is/are the critical value(s)? (Use a = 0.01.) (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean…
The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $ 4.87 and a standard deviation of $ 0.05. A sample of 15 Bay Area gas stations are randomly chosen. We are interested in the average cost of gasoline for the 15 service stations. The distribution to use for the average cost of gasoline for the 15 service stations is: Select one: a. N (4.87, 0.0129) b. N (0.3247, 0.0006) c. N (4.87, 0.0033) d. N (4.87, 0.0002) e. N (0.3247, 0.0033)
Calculate the standard deviation of: 6.24; 6.21; 6.26; 6.28
4. The variance of a data set is 3410.56. Find the standard deviation for the data set. This ample of
Here are 11 values from a dataset: 0 0 0 1 2 2 3 4 6 6 6 The sample mean for this dataset is 2.73. Which of the following values is your best guess for the approximate size of the sample standard deviation for these 11 numbers: 1, 2.5, or 5? You may calculate the sample standard deviation for this set of data but it is not required. lp

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