3. The weight of fish in Baggins Creek have a mean of 5 pounds and a standard deviation of1.25 pounds. You catch a random sample of 36 fish and compute their mean weight.(a) What are the values of the mean and the standard error of the mean for this samplingdistribution of the mean?(b) What is the probability that the sample mean falls between 5.3 and 5.6 pounds?(c) Find a weight such that the probability that the sample mean falls above it is 30%.(d) What is the probability that the sample mean is less than 4.5 pounds?(e) Find two weights symmetric about the mean such that the probability that the samplemean falls between them is 90%.(f) Why are we justified in assuming that the sampling distribution of the mean will benormally distributed in this problem?

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Answered: 3. The weight of in 1.25 pounds. You…

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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A researcher wants to know if there is a difference between the mean amount of sleep that people get for various types of employment status. The table below shows data that was collected from a survey. Full Time Worker Part Time Worker Unemployed 6 6 7 5 6 7 8 9 9 7 6 8 8 8 8 8 8 8 6 6 8 8 7 6 9 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01.H0: μ1=μ2=μ3H0: μ1=μ2=μ3H1:H1: At least two of the means differ from each other. For this study, we should use Select an answer 2-PropZTest 2-PropZInt 1-PropZInt 2-SampTInt 1-PropZTest T-Test χ²-Test ANOVA χ²GOF-Test TInterval 2-SampTTest The test-statistic for this data = (Please show your answer to 3 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.) The p-value is Select an answer less than (or equal to) alpha greater…
3. An airline has a baggage weight limit of 50 lb. Suppose that the weight of the baggage checked by an individual passenger is a random variable x with a mean value of 49 lb. If 110 passengers will board a flight, what is the approximate probability that the mean weight for this sample of passengers will exceed the limit if the standard deviation of the baggage weight for this group is 23 lb. ? (Round your answer to three decimal places.)
Suppose a population distribution has a mean = 150 and a standard deviation s = 30, and you draw a simple random sample of N = 100 cases. What is the probability that the mean is between 147 and 153?
Pollution. Carbon monoxide (CO) emissions for a certain kind of car vary with mean 2.9 g/mi and standard deviation 0.4 g/mi. A company has 80 of these cars in its fleet. Let represent the mean CO level for the company’s fleet. What’s the approximate shape of the sampling distribution of ? Explain. Estimate the probability that is between 3.0 and 3.1 g/mi. There is only a 5% chance that the fleet’s mean CO level is greater than what value?
Assume that the average score on a statistical test is 8.5 and the variance is 2. The test was on the lighter side and the score distribution was very skewed (left skewed). What probability distribution is it reasonable to assume that the average grade of 3 randomly selected students who take the exam follows? 1. Normal distribution with mean 8.5 and variance 2. 2. Normal distribution with an average of 8.5 and a variance of 2/3. 3. Poisson distribution with an average of 8.5 and a distribution of 8. 4. The probability distribution cannot be predicted from the information provided.
The table shows the distribution of scores or 40 students on a Mathematics test. Score 10-12 13-15 16-18 19-21 22-24 25-27 Frequency 4 13 8 (a) (b) Estimate the mean score obtained on the test. Estimate the probability that a student selected at random would score at most 15 marks on the test. Using the scale of 1 cm to represent 1 unit on the frequency axis and 2 cm to represent 5 units on the score's axis, use graph paper to draw a frequency polygon to represent the distribution of scores shown in the table. (c)
A researcher wants to know if there is a difference between the mean amount of sleep that people get for various types of employment status. The table below shows data that was collected from a survey. Unemployed Part Time Worker Full Time Worker 9 7 7 9 9 5 7 7 7 7 8 8 9 6 7 10 7 8 10 9 5 8 8 8 9 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.1α=0.1.H0: μ1=μ2=μ3H0: μ1=μ2=μ3Ha:Ha: At least two of the means differ from each other. For this study, we should use The test-statistic for this data = (Please show your answer to 4 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.)
4. The mean performance score on a physical fitness test for Division I student-athletes is 947 with a standard deviation of 205. If you select a random sample of 60 of these students, what is the probability the mean is below 900?
You find out that the average 10th grade math score, for Section 6 of the local high school, is 87 for the 25 students in the class. The average test score for all 10th grade math students across the state is 85 for 1,800 students. The standard deviation for the state is 3.8. What z score do you calculate? What is the area between the mean and the z score found in Appendix A of the textbook? What does this mean about the probability of this test score difference occurring by chance? Is it less than 0.05?
r a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 510 and a standard deviation of 170 . The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 526 . What is the probability that a sample of 40 exams will have a mean score of 526 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
In a population of statistics students it was found that the mean score on the final is 150 with a standard deviation of 20 points. Ifa student is chosen at random, what is the probability that their grade will be less than 115? O 03867 O 0.3707 O 0.9599 O 0.5987 O 0.0401
Number of Jobs The U.S. Bureau of Labor and Statistics reported that a person between the ages of 18 and 34 has had an average of 9.2 jobs. To see if this average is correct, a researcher selected a random sample of 8 workers between the ages of 18 and 34 and asked how many different places they had worked. The results were as follows: 7 9 11 1 6 1 3 5 At a=0.10, can it be concluded that the mean is 9.2? Use the P-value method. Assume the population is normally distributed.

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