normal distribution with mean1.ca) Let X: { X,, X2,... Xn} be a rindom sample grom ae and variance oini. I u is tnown and o is untnown, show that i (X; - «)gur o. Show all the working steps.Statistic2". I u and o?are both untnownshow that X ( the sample mean) and S( the sample veriance) areX2,distri bution. Consider thejointly sug gicientX25} be a random Sample from a NCu, 1)gur u urd o?u cind o?(b) Now, let X:} X,from a NCu,1)...te stof :Ho : M:4.0VS. Hi: M: 3.0thatregectsHoiç the sam ple mean is less thon3.5i. Calculate the sizethetest , your answer inofC the standord nor mal cumulative distributionex pressingof $termsfuncti on)ii. Colculate the power ofthe test, ex pressing your Gnsuerini Caleulate the probability ofype ierrorexpressing your Gnswerin ter ms of D

As per bartleby guidelines we can solve only first question (including tye subparts) and rest can be…

Answered: =) Let X: {x, , X2,... Xn 3 be a rindom…

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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Male Female Total Very happy 324 420 744 Pretty happy 612 776 1388 Not too happy 159 168 327 Total 1095 1364 2459 **Report all numbers to two decimal places** Based on these data. 1. (True/False). A randomly selected respondent is most likely to be very happy. 2. There is a percent chance that a randomly selected respondent is very happy. 3. % of males reported being not too happy. 4. (True/False). Over 10% of females reported being not too happy. 5. There is a percent chance that a randomly selected respondent is not too happy. 6. (True/False). A randomly selected respondent is least likely to be pretty happy.
Q1: Suppose that Y,, Y2, Y constitute a random sample from a normal distribution with known mean u and unknown variance a?. The most powerful a-level test is sued for testing Ho:a² = o versus HA: 0² = af, where af > o3. نقطة واحدة .3 3. The rejection region is given by RR = A. True B. False
which of these comparison between an ANOVA and t test is correct? A. a t test provides more flexibilty in research studies than an ANOVA B. An ANOVA examines wheater mean differences exists between conditions wheres t test does not C. An ANOVA can be used to compare three or more conditions wheres a t test cannot D. A t test can be used to compare two conditions wheres an ANOVA cannot.
Find the variance from the following sample. (Please round your answers to two decimal places, ex: 1.23) +------------------------------+ | X: 22 23 28 38 | +------------------------------+
The weights of all the turkeys sold in Fairfax County in 2020 were recorded in the data set “Fairfax Turkey Weights” found in the table with the column labeled "Weight". The weights are presented in pounds. There are 235,428 turkeys in this population. Does the mean calculated in the table with the column labeled "Sample (Weight)" come from a sampling distribution that is approximately Normal? Check all three conditions of the Central Limit Theorem using one complete sentence for each condition to answer this question.
Discuss the assumptions for one-sampled t-test and why they are important.
please only do: if you can teach explain each
A local DMV (location of your choice) wanted to assess the number of mistakes that were made by its operators (aka clerks). One hundred samples were gathered from each of 20 operators (note: n = 100 for calculation of σp but you will need 100 * 20 to calculate p-bar). The results are shown in the table below. The DMV wants to set control limits to include 95% of the random variation. Operator # Number of errors Fraction defective Operator # Number of errors Fraction defective 1 6 11 6 2 5 12 1 3 0 13 8 4 1 14 7 5 4 15 5 6 2 16 4 7 5 17 11 8 3 18 3 9 3 19 0 10 2 20 4 Calculate p-bar and σp. Complete the fractions defective in chart. Compute the control limits and center line for a p-chart. Plot the fraction defective in a p-chart and decide if the performance of the operators is…
Suppose there is a random Uniform(-1, 1) random variable (Null hypothesis), or Uniform(0,1) (alternative hypothesis) depend on 3 independent sample X1, X2, X3. What is the smallest possible false negative error among all tests with false positive error 1/8?
The average wait time to get seated at a popular restaurant in the city on a Friday night is 12 minutes. Is the mean wait time different for men who wear a tie? Wait times for 14 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 10, 13, 12, 12, 9, 12, 12, 13, 10, 11, 12, 13, 11, 10 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer v H1: ? v Select an answer v c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population mean is not significantly different from 12 at a = 0.10, so there is statistically insignificant evidence…
The average wait time to get seated at a popular restaurant in the city on a Friday night is 10 minutes. Is the mean wait time less for men who wear a tie? Wait times for 15 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 7, 10, 11, 9, 11, 7, 8, 11, 9, 9, 11, 9, 11, 9, 7 What can be concluded at the the α = 0.10 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be: H0: H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly less than 10 at α = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 10.…

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