how to find the Variance for CBT and variance for BT，show step by step please A clinical psychologist wanted to examine the relative effectiveness of cognitive-behavioral therapy (CBT) and behavioraltherapy (BT) for depression. A sample of 20 depression patients were randomly selected and assigned to either of the twotherapy methods. The data below presents the effectiveness rated by independent judges. Test whether one method is betterthan the other at .05 significance level (non-directional) by answering the following questions?CBT: 4, 8, 5, 7, 6, 9, 8, 6, 7, 8BT: 3, 5, 4, 8, 6, 2, 4, 6, 5, 7

Given data: CBT: 4 8 5 7 6 9 8 6 7 8 BT: 3 5 4 8 6 2 4 6 5 7 Sample sizes are: n1=10 n2=10…

Answered: A clinical psychologist wanted to…

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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Show that E[Sample Variance] = Population Variance
A sample has a minimum value of 7 and a maximum value of 58 .Estimate its variance.
Noise pollution is measured in decibels. In California any motorcycle made after 1980 may not be any louder than 80 decibels. Harley Davidson claims their mean decibel rating on bikes is 70 with a variance of 10. The variance of the noise is questioned. Just because Harley has a mean that is less than 80, they could still be producing louder than acceptable bikes. The federal EPA conducts a sample of 30 bikes and determines the variance to be 20 decibels. Is there enough evidence to question Harley’s claim of 10 decibels?
Earlier this semester, we learned to use 2-Sample-TTest to compare the population means of two independent populations. One-way ANOVA is more powerful because it could compare the population means of three or more independent populations. However, use of one-way ANOVA also requires the assumption that the populations have the same variance. In this exercise, we will compare and contrast One-way ANOVA and 2-Sample-TTest. With the 2-Sample- TTEST, we will first choose 'No' for the pooled variances option, then re-run the test while choosing 'Yes' for the pooled variances option. Use the following data to complete these tasks. Depending on if you choose to do this by hand or using code, use the data format that suits you best - LONG form on top or WIDE form on bottom. Treatment One One One One One One One Two Two Two Two Two Two Two Treatment One 7.1 8.5 7.6 7.7 6.9 8.5 7.8 Response 7.1 8.5 7.6 7.7 6.9 8.5 7.8 1.4 4.1 4.3 3.9 4 4 4.6 p-value= Treatment Two 1.4 4.1 4.3 3.9 4 4 4.6 1. Use…
Records from previous years for a casualty insurance company show that its clients average a combined total of 1.9 auto accidents per day, with a variance of 0.31. The actuaries of the company claim that the current variance, oʻ, of the number of accidents per day is not equal to 0.31. A random sample of 17 recent days had a mean of 2 accidents per day with a variance of 0.62. If we assume that the number of accidents per day is approximately normally distributed, is there sufficient evidence to conclude, at the 0.05 level of significance, that the actuaries are correct? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round…
Natural selection predicts that two species that came from a common ancestor should have a high degree of correlation in their genomes. What aspect (use) of correlations am I using when apply it for this purpose?
Actuaries use various parameters when evaluating the cost of a life insurance policy. The variance of the life spans of a population is one of the parameters used for the evaluation. Each year, the actuaries at a particular insurance company randomly sample 30 people who died during the year (with the samples chosen independently from year to year) to see whether the variance of life spans has changed. The life span data from this year and from last year are summarized below. Current Last Year Year *1 = 75.8 x2 = 76.2 s3 = 47.61 s3= 92.16 (The first row gives the sample means and the second row gives the sample variances.) Assume that life spans are approximately normally distributed for each of the populations of people who died this year and people who died last year. Can we conclude, at the 0.05 significance level, that the variance of the life span for the current year, of, differs from the variance of the life span for last year, o,? Perform a two-tailed test. Then complete the…
A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more than one battery is used. The variance ?2 of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small, all the batteries will tend to die at once. Why? If the variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of = 23 months (squared) is most desirable for these batteries. A random sample of 20 batteries gave a sample variance of 12.8months (squared). Using a 0.05 level of significance, test the claim that ?2 = 23 against the claim that?2 is different from 23.
It is possible to have a variance of 625,000625,000 for some data set. true or false
Please use ANOVA

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