17. Many students suffer from math anxiety. A professor who teaches basic statistics offered her studentsa two-hour lecture on math anxiety and ways to overcome it. The following table gives the scores ofseven students in basic statistics before and after they attended this lecture.Before56 69 48 74 65 71 58After62 73 44 85 71 70 69If the differences above are assumed to have an exponential distribution, find a 90% confidenceinterval for the parameter of this distribution.

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Answered: 17. Many students suffer from math…

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 professor wants to know whether or not there is a difference in comprehension of a lab assignment among students depending on if the instructions are given all in text, or if they are given primarily with visual illustrations. She randomly divides her class into two groups of 15, gives one group instructions in text and the second group instructions with visual illustrations. The following data summarizes the scores the students received on a test given after the lab. Let the populations be normally distributed with a population standard deviation of 5.32 points for both the text and visual illustrations. Text (Group 1) Visual Illustrations (Group 2) 57.3 59 45.3 57.6 87.1 72.9 61.2 83.2 43.1 64 87.3 76.7 75.2 78.2 88.2 64.4 67.5 89 86.2 72.9 67.2 88.2 54.4 43.8 93 97.1 89.2 95.1 52 84.1 Is there evidence to suggest that a difference exists in the comprehension of the lab based on the…
Abe and Betty want to estimate the mean of a population with known standard deviation o. Abe takes 50 samples whereas Betty takes 80 samples. Which of the following statements are correct? (A) If both Abe and Betty use confidence intervals of the same width, then the confidence level of Abe's interval is smaller than that of Betty's (B) If both Abe and Betty use confidence intervals of the same width, then the confidence level of Abe's interval is larger than of Betty's (C) If Abe and Betty construct confidence intervals with the same confidence level, then the width of Abe's interval is smaller than that of Betty's (D) If Abe and Betty construct confidence intervals with the same confidence level then the width of Abe's interval is larger than that of Betty's (B) and (C). (A) and (D) (B) and (D) (A) and (C)
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
Just answer question number 1 Answers: 1. 2 vs. 3, q = 6.74, Reject H0, the mean scores of groups 2 and 3 differ significantly; 2 vs. 4, q = 2.04, Do not reject H0, there is no evidence for a significant difference between the mean scores of groups 2 and 4; 2 vs. 1, q = 5.62, Reject H0, the mean scores of groups 2 and 1 differ significantly.
Imagine that a researcher wants to compare the intelligence levels of Poodles to all dogs. He hypothesizes that Poodles will score differently than other dogs. He uses a standard test of dog intelligence in his study. The population of all dogs has a mean of μ = 100, and an SD of 15. He obtains a random sample of 500 Poodles and he finds that the mean intelligence score of the sample is 117. Is this a one- or two- tailed test? Write the Ho and Ha for this research question. What kind of statistic should be calculated to test the hypothesis? Compute that statistic by hand What should the researcher conclude? Write a blurb describing the results
I need help with parts 2,3, and 6
While reading a published research report, you encounter the following statements. For each, identify the N, the procedure performed and the outcome, the relationship, and the type of error possibly being made. (a) “When we examined the perceptual skills data, the mean of 55 for the sample of adolescents differed significantly from the population mean of 70 for adults, t(45) = 3.76, p < .01.” (b) “The correlation between personality type and emotionality, however, was not significantly different from zero, with r(25) = +.42, p > .05.”
Determine if the following statements are true or false. a. Jane took a sample of n = 100 observations from a population with mean and standard deviation. Mike also took a sample of n = 200 observations from the same population. Then, Mike’s sample mean will be closer to the true population mean than Jane’s sample. b. Jane took a sample of n = 100 observations from a population with mean and standard deviation. Mike also took a sample of n = 200 observations from a population with mean and standard deviation 2. Then, the sample mean from Mike’s sample is more likely to be close to the true mean than the sample mean from Jane’s sample. That is, the probability that X is between 90% and 110% of mean is higher for Mike’s sample than for Jane’s sample.
Dan is doing research on organic farming for an agricultural foundation. He has collected data on the number of oranges harvested from individual trees in two different orchards. In each orchard, the number of oranges harvested from each of 57 trees was recorded. The histograms below show the distributions of the two data sets. The means and standard deviations for the data sets are also given. Orchard 1 Orchard 2 25 25 20- 20- 15+ 15- 10+ 10+ 5+ 5+ 199.5 219.5 239.5 259.5 279.5 299.5 319.5 339.5 359.5 199.5 219.5 239.5 259.5 279.5 299.5 319.5 339.5 359.5 Orchard 1 mean: 275.1 oranges Orchard 2 mean: 274.9 oranges Orchard 1 standard deviation: 23.2 oranges Orchard 2 standard deviation: 47.9 oranges Dan wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only one of them! Answer the parts below to help Dan with his approximations. (a) Identify the data set for which it is appropriate to use the…
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You know the mean and standard deviation of the population. You take a sample from this population and compute the 90% confidence interval for the mean. This interval contains values that are within how many standard deviations of the mean?

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