(c) We want to test if there is a (positive) reduction in annual gas consumption provided bythe extra insulation. Denote µx as the mean annual gas consumption for houses withstandard insulation, and uy as the mean annual gas consumption for houses with extrainsulation.(i) What are the null and alternative hypotheses? In a large scale study of energy conservation in single family homes, 20 homes were randomlyselected from homes built in a housing development in southern England. Ten of the houses,randomly selected from the 20 houses selected for the study, were constructed with standardlevels of insulation (70 mm of roof insulation and 50 mm of insulation in the walls). The other10 houses were constructed with extra insulation (120 mm of roof insulation and 100 mm ofinsulation in the walls). Each house was heated with a gas furnace and energy consumptionwas monitored for eight years. The data shown below give annual gas consumption in MWhfor each of the 20 houses.Standard InsulationExtra Insulation13.815.117.813.918.015.917.317.216.915.219.913.813.611.317.613.215.918.812.314.0Sample meansSample Standard Deviation16.3114.842.382.12

For testing the assumed claim that two population means (i.e., "the true mean annual gas consumption…

Answered: (c) We want to test if there is 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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Let's examine the levels of levels of sodium in the blood. 20 people yield the following results (in mEq/L): y = 131.95 s = 2.544 (a) Test H0: μ = 135 using α = 0.001 (that's not a typo) (b) Figure out the p-value. (c) What is the smallest value of α for which you would reject the H0? (c) For which of the following values of α would you reject? i) .10 ii) .05 iii) .01 iv) .001 v) .00000001
A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is greater than 0.20. If the z− test statistic was calculated as z=1.94, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.05.
A patient is classified as having gestational diabetes if their average glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with μ=140+5 mg/dl and σ=5+1 mg/dl. Using the Central Limit Theorem, determine the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: Once? n=5+2 times n=5+4 times Comment on the relationship between the probabilities observed in (a), (b), and (c). Explain, using concepts from lecture why this occurs and what it means in context.
An ANOVA produces an F-ratio with df = 1, 34. Could the data have been analyzed with a t test? What would the degrees of freedom be for a t statistic?
I am unsure what I may be doing wrong for the bottom 2 question, (b) and (c) , that are giving me a hard time.
You are a researcher who wants to know what the mean (µ) level of anxiety would be for the whole population if they were all receiving a new anti-anxiety therapy. You can’t give the therapy to the whole population, so you give it to a sample, and you get M = 32.1 as the average anxiety level for the sample on the therapy. What is the reason that you can’t just simply assume that µ = 32.1? You didn’t use random assignment Sampling error Descriptive statistics Inferential statistics
10 veterans who suffer from PTSD are tested before and after taking an anti-anxiety medication thought to reduce PTSD symptoms. How do I report my findings in APA format? Before condition (M=52, SD= 13.4, SE=4.228) After condition (M=43, SD=13.4, SE=4.243) t(9)=1.581, p >0.05, d=0.500.
A medical social worker is interested in examining the relationship between patients who receive social support by family members (yes/no) and the patients’ outcome (failure/success). She collected data over a period of a month (N=100). A chi square analysis revealed the following: χ2= 5.65, df = ?, p = .01. 1. Was a chi-square analysis appropriate to analyze these variables? How do you know?
For the situation described below, state the null and alternative hypotheses to be tested. (Enter != for ≠ as needed.) A new variety of pearl millet is expected to provide an increased yield over the variety presently in use, which has a mean yield of about 55 bushels per acre.
Suppose a sample Y1, ..., Yn is selected from an exponential distribution with E (Yi) = θ and V (Yi) = θ2. Let θˆ be an estimator of the mean, θ.1. Explain what a parameter is. What is the parameter of interest in this case?2. Name the properties of a good estimator and explain, shortly, what is meant by each. (a)(b) (c)3. Given the properties you discussed in (2) and the parameter of interest identified in (1), what estimator would you propose?4. What would the sampling distribution of this estimator be? Why?
B6. Pinan Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source Regression Residual Total Regression output Variables Intercept Distance-X Answer the following questions. SS 1,864.5782 1,344.4934 3,209.07 Coefficients 12.3601 4.7956 df 1 28 29 MS 1,864.5782 48.0176 Std. Error 3.2915 0.7696 F 38.83 t(df=28) 3.755 6.231 a) Write out the regression equation. Is there a direct or indirect relationship between the distance from the fire station and the amount of fire damage? b) How much damage would you estimate for a fire 5 miles from the nearest fire station?

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