Example Problems – Show your work!1.A researcher knows that the weights of 6-year olds are normally distributed with u = 20kg and o = 3.2 kg. She suspects that children in poverty-stricken regions areundernourished and therefore underweight. For a sample of n = 16 poverty-strickenchildren, the researcher obtains a sample mean of 18.2 kg. Use a two-tailed test and an alevel of .01 to determine if this sample is reliably different from what would be expectedfor the general population of 6-year olds. Perform a complete hypothesis test, including ajournal style summary statement.2. Using the data from the previous problem, construct a 99% CI for the weights of thepoverty-stricken children. Given your decisions in the first problem, does your CI makesense? Explain your answer.

The random variable is weights of 6-year old follows normal distribution. The population mean is 20…

Answered: A researcher knows that the weights of…

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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The Ministry of Education has commissioned a study to determine students’ reading ability based on the level of illumination they were given for the type of reading material. The results of the trial are given below: 1. Conduct the appropriate statistical analyses to compare the reading ability for the two types of reading material while controlling for level of illumination. Clearly outline all your tests.2. What is your conclusion? 3. Has the assumptions of normality and homogeneity of variance been met? (Quote relevant statistics in your response and provide the necessary hypotheses)4. The JASP output and input of all the statistical analyses performed PLEASE INSERT ALL CALCULATIONS USING JASP SOFTWARE
you compute a two-sample z statistic and it comes out to equal 1.6. What is the p-value if you are doing a two-tailed test? Enter a value between 0 and 100 corresponding to the percentage, e.g. if your p-value equals 2.4%, enter 2.4. Any correctly rounded version will receive full credit.
A kilo restaurant implemented a change in the composition and presentation of its dishes. We want to assess whether the average weight of meals served is greater after the changes, compared to the previous average, which was 640. For this purpose, the weights of dishes from a random sample of 10 customers were taken. The average weight of dishes in the sample was 656 and the variance 144. Use a statistical test for the evaluation. Adopt a significance level of 10%. a. What is the value of the test statistic? b. What range of values is the p-value in? c. At the 10% significance level, can you reject the null hypothesis?
A kilo restaurant implemented a change in the composition and presentation of its dishes. We want to assess whether the average weight of meals served is greater after the changes, compared to the previous average, which was 640. For this purpose, the weights of dishes from a random sample of 10 customers were taken. The average weight of dishes in the sample was 656 and the variance 144. Use a statistical test for the evaluation. Adopt a significance level of 10%. a. What is the distribution of the test statistic? b. What kind of alternative hypothesis? c. What is the test's critical value (the value that defines the critical region), on the scale of the test statistic? (If the test is bilateral, enter only one of the values.)
Two brands of batteries are tested, and their voltages are compared. The summary statistics follow. For sample 1, the sample size is 27; the population standard deviation is 0.3 volts and the mean is 9.2 volts. For sample 2, the sample size is 30; the population standard deviation is 0.1 volts and the mean is 8.8 volts. Is the mean of sample 1 smaller than the mean of sample 2? Using a significance level of 0.05. a) Identify the claim and state the hypotheses. b) What is the test statistics? Find the critical values (s). c) Make the decision to reject or not reject the null hypothesis and explain why. d) Graph your decision and include all the values. That is, the mean, the standard deviation, the critical value(s), the rejection region. e) Set up the formula with the correct numbers for the 95% confidence interval of the mean number of jobs.
A certain prescription medicine is supposed to contain an average of 250 parts per million (ppm) of a certain chemical. If the concentration is higher than this, the drug may cause harmful side effects; if it is lower, the drug may be ineffective. The manufacturer runs a check to see if the mean concentration in a large shipment conforms to the target level of 250 ppm or not. A simple random sample of 100 portions is tested, and the sample mean concentration is found to be 247 ppm. The sample concentration standard deviation is s = 12 ppm. What are the appropriate null and alternative hypotheses? Group of answer choices H 0: x̄ = 250 vs. H a: x̄ < 250 H 0: x̄ = 250 vs. H a: x̄ ≠ 250 H 0: x̄ = 250 vs. H a: x̄ > 250 H 0: μ = 250 vs. H a:μ < 250 H 0: μ = 250 vs. H a: μ ≠ 250 H 0: μ = 250 vs. H a: μ > 250
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