A random sample of 25 chemists from Washington state shows an average salary of $48123 with a standarddeviation of $942. A random sample of 18 chemists from Florida state shows an average salary of $49603with a standard deviation of $561. A chemist that has worked in both states believes that chemists inWashington make less than chemists in Florida. At a=0.05 is this chemist correct? Let Washington be sample1 and Florida be sample 2.The correct hypotheses are:Ο Η: μι < μεHA: μι > μ2(claim)© Ho: μι 2 μ2HA: M1 M₂(claim)O Ho: ₁ = ₂HA: 12(claim)Since the level of significance is 0.05 the critical value is -1.684(round to 3 places)The test statistic is:The p-value is:(round to 3 places)

Answered: A random sample of 25 chemists from…

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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From the past observations, the standard deviation of a bus to travel from one bus stop to the next is 6 hours. The company who owns the buses wants to know the amount of time it takes a bus to travel. a.) How many measurements are needed in order to be 95% certain that the maximum error of estimate will not exceed 2 hours? b.) What sample size is required for a maximum error of 3 hours?
A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?
An IQ test is designed so that the mean is 100 and the standard deviation is 16 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 4 IQ points of the true mean. Assume that o = 16 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. ... The required sample size is (Round up to the nearest integer.) Would it be reasonable to sample this number of students? No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly large number.
8. The variability of sizes of the batch of screws were studied by the company owner. They took a sample of 20 screw and found out that the deviation, s? = 0.0153 mm?. The variation should only to be under +0.1mm2 to prevent reworks. At 5% CI, conduct hypothesis testing.
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A population is known to be normally distributed with standard deviation known to be 6.3. In order to test the hypothesis that the true value of the mean is 19 researchers collect a sample of size 36 and calculate the sample mean to be 16. State the distribution of the sample mean and then test this hypothesis using the appropriate test.
Do question 7,8 and 9 only The new study also carried out a test to determine whether the population proportion of unvaccinated school children contracting winter flu was higher than the population proportion of vaccinated school children. The Z test statistic to test this belief is found to be 1.874. The corresponding p-value is 0.0305 0.1212 0.3036 0.7724 Question 7 Suppose that the new study uses a level of significance of 0.05 to test the claim in Question 6. The probability of Type I error is 0.025 0.05 0.95 0.975 Question 8 Based on previous studies of school children who were vaccinated and contracted the flu, the time in hours that the flu symptoms last is assumed to follow a normal distribution with a mean of 20.7 hours and a standard deviation of 7.3 hours. The probability that a randomly selected school child has flu symptoms for more than 24 hours is 0.1628 0.3256 0.6744 0.8372 Question 9 Suppose that a random sample of 5 vaccinated school children is taken. Assuming the…
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1. A population has the numbers 2, 4, 6, 8, 10, 12. Then two samples are taken at random and without replacement. If it is known µ-7. Find: a. Population variance (0²) b. The mean standard deviation of the sample (ox²)
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Although the two lines are exactly the same length, the vertical line appears to be much longer. To examine the strength of this illusion, a researcher prepares an example in which both lines are exactly 10 inches long. The example is shown to individual participants who are told that the horizontal line is 10 inches long and then are asked to estimate the length of the vertical line. For a sample of n = 25 participants, the average estimate is M = 12.2 inches with a standard deviation of s = 1.00. Use a one-tailed hypothesis test with α = .01 to demonstrate that the individual participants in the sample significantly overestimate the true length of the line. (Note: Accurate estimation would produce a mean μ = 10 inches.) (Use three decimal places.) t-critical = t = The results indicate: Failure to reject the null hypothesis; there is not significant evidence that the true length of the vertical line is overestimated Failure to reject the null…

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