Assume that we want to construct a confidence interval. Do one ofthe following, as appropriate: (a) find the critical value to/2, (b) findthe critical value Zx/2, or (c) state that neither the normal distributionnor the t distribution applies.The confidence level is 90%, o is not known, and the histogram of63 player salaries (in thousands of dollars) of football players on ateam is as shown.A.B.ta/2=(Round to two decimal places as needed.)FrequencyZα/2(Round to two decimal places as needed.)C. Neither the normal distribution nor the t distribution applies.40-30-20-Select the correct choice below and, if necessary, fill in the answer box to complete your choice.10-04000 8000 12000 16000 20000Salary (thousands of dollars)

Answered: Image /qna-images/answer/4d1b9dbb-2a02-453c-89e4-20d263d30345.jpg

Answered: Assume that we want to construct 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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The standard deviation for a population is σ = 15.6 . A sample of 25 observations selected from this population gave a mean equal to 137.30 . The population is known to have a normal distribution.Round your answers to two decimal places.a. Make a 99 % confidence interval for μ .= ( , )b. Construct a 95 % confidence interval for μ . = ( , )c. Determine a 90 % confidence interval for μ .=( , )
Construct the confidence interval for the population mean μ. c=0.95, x=7.3, σ=0.6, and n=51 A 95% confidence interval for μ is ,. (Round to two decimal places as needed.)
If X=142, σ=20, and n=36,construct a 99% confidence interval estimate of the population mean, μ. (Round to two decimal places as needed.)
The data in Table represent the population of the statistics students and the marks obtained in the examination on hypothesis tests. Knowing that the previous data are from the population with a normal distributionDetermine:1. Using the T distribution. Make a confidence interval for a 95% confidence level. Alpha mean = .05 enter right value XX.XX Table: 0 0 0 0 0 5 10 15 15 15 20 20 25 25 40 45 50 50 55 75 80 85 90 95 105
B. The test statistic, t, =____ C. The P-value is ____ D. State the conclusion for the test. Reject H0. or Fail to reject H0. E. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. ___<μ1−μ2<___ F. Does the confidence interval support the conclusion of the test? (Yes/ No) because the confidence interval contains (zero/ only positive value/ only negative values).
A statistics class is estimating the mean height of all female students at their college. They collect a random sample of 42 female students and measure their heights. The mean of the sample is 65.3 inches and the sample standard deviation is 5.4 inches. Find the 90% confidence interval for the mean height of all female students in their school? Assume that the distribution of individual female heights at this school is approximately normal. 1. The t value is 1.3025 2. The standard error has a value of -- 3. The margin of error has a value of 4. Find the 90% confidence interval for the mean height of all female students in their school
The IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood were collected. The statistics are summarized in the accompanying table. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. A. Ho: M₁ = ₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic is 1.90. (Round to two decimal places as needed.) The P-value is 0.0315. (Round to three decimal places as needed.) C State the conclusion for the test. a. Use a 0.05 significance level to test the claim that the mean IQ score of people with low blood lead levels is higher than the mean IQ score of people with high blood lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with low lead levels and population 2 consists of subjects with…
Use the following information for parts (a) – (c): The 2 x 2 table below displays the results of a cross-sectional study that investigated the effectiveness of bicycle safety helmets in preventing head injury. The data consist of a random sample of 790 individuals who were involved in bicycle accidents during a specified one year period. i. Calculate the 95% confidence interval for the risk difference ii. Interpret the 95% confidence interval for the risk difference
An experiment was designed to estimate the mean difference in weight gain for pigs fed ration A as compared with those fed ration B. Eight pairs of pigs were used. The pigs within each pair were litter-mates. The rations were assigned at random to the two animals within each pair. The gains (in pounds) after 45 days are shown in the following table. Assuming weight gain is normal, find the 99% confidence interval estimate for the mean of the differences ?d, where d = ration A - ration B. (Give your answers correct to two decimal places.) Litter 1 2 3 4 5 6 7 8 Ration A 54 46 37 50 44 50 56 51 Ration B 47 42 27 43 37 42 53 48 Lower Limit Upper Limit
Use the following information for questions 3 and 4. A study of class lengths at two schools was done using independent samples. 31 classes were chosen from each. The first school had a mean length of 50.1 minutes and a standard deviation of 1.6 minutes. The second school had a mean length of 48.9 and a standard deviation of 2.2 minutes. We want to determine at α = 0.01 if the means are different. Assume all test conditions are satisfied. What are the null and alternate hypotheses (write in equation/inequality form)?

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