We are interested in determining whether or not the variances of the sales at two small grocery stores are equal. Asample of 10 days of sales at Store A and a sample of 12 days of sales at Store B indicated the following. Usea=0.1.Store AStore Bn₁ = 10m₂ = 12$1 = 60$2=40The test statistic is F =The rejection region is F2_

Given that Store A Store B Sample size (n1)= 10 Sample size (n2) = 12 Sample Standard…

Answered: We are interested in determining…

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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A researcher claims that the variation in the number of years of teaching experience of senior high school teachers is greater than the variation in the number of years of teaching experience of elementary teachers. Two groups are randomly selected. The variance of the number of years teaching of 18 elementary school teachers is 1.9 years and the variance of the number of years teaching of 15 high school teachers is 2.8 years. Compute the test statistic AND determine the critical value, using a 0.05 level of significance. Test statistic: 2.172 0.679 1.474 0.460 correct answer is not given Critical value: 2.269 2.413 2.329 2.428 Correct answer is not given
A certain producer of chocolate has some problems with the variability of five suppliers of cocoa. Since the cocoa quality is critical to the final chocolate product, the company has decided to perform a DOE to compare these suppliers. According to experiences with customers, the capacity of detection of any variation is 3.5 units. Estimate the sample size needed to get at least a power of 85%, given that the historical variance of the process is 2.5 units.
A company that manufactures cars wants to estimate the variance of kilometers per liter for its newest car model. A random sample of 24 cars of this model showed that the variance of kilometers per liter for these cars is 0.58. Test at 1% significance level if the sample result indicates that the population variance is different from 0.30.
The average travel time going from Bulacan to Laguna is at most 3.5 hours. A bus company conducts a study consisting of 55 trials to verify this. Results show that on the average, the travel time from Bulacan to Laquna is 4.2 hours with a variance of 6.76 squared hours. Assume that the level of significance is 0.01.
Two new drugs are being compared for effectiveness in lowering total cholesterol levels. On the sample of 15 subjects, drug A is found to lower total cholesterol by an average of 75 mg/dl with SS = 2025. On the sample of 10 subjects, drug B lowered the mean cholesterol level by 78 mg/dl with SS = 2005. Use a 0.01 level of significance to test the claim that the two drugs are equally effective assuming populations are normally distributed. ( Use equal variance t procedure called pooled variance t procedure )
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 130 engines and the mean pressure was4.4lbs/square inch. Assume the variance is known to be 0.49 . If the valve was designed to produce a mean pressure of4.3lbs/squareinch, is there sufficient evidence at the 0.02 level that the valve performs above the specifications? State the null and alternative hypotheses for the above scenario.
A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given in the accompanying table. The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. Which of these is an appropriate alternative hypothesis? A. H1:μfemales≠μmales B. H1:μfemales>μmales C. H1:μfemales<μmales D. H1:μfemales=μ
A manufacturer is testing its new grain moisture meter and sampled out 5 grain types (1, 2, 3, 4, 5) and measured their moisture contents at 3 trials each as shown in second table. A. Compute for the estimate of the variance between treatments, compute for the degrees of freedom between treatments. B. Compute for the estimate of the variance within treatments, compute for the degrees of freedom within treatments. C. When you are asked to compute if there is a significant difference in the means at 1% level of significance, what will be the critical f value? Indicate input arguments used in looking at the table. Compute for the observed variance ratio. What will this say about the effect of grain sample to the moisture content? D. Now supposed you were asked to determine which means are different from the rest, you conduct Fisher’s least significant difference test at 10% alpha level. Find critical t value from the t-distribution table, indicate input arguments used.…
A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salaries of secondary school teachers. A sample of the salaries of 9 elementary school teachers has a variance of $8324, and a sample of the salaries of 10 secondary school teachers has a variance of $2862. At 0.05 level of significance, can the researcher conclude that the variation in the elementary school teachers’ salaries is greater than the variation in the secondary school teachers’ salaries? Required: Critical Value=
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 210 engines and the mean pressure was 6.7 ibs/square inch. Assume the variance is known to be 0.64. If the valve was designed to produce a mean pressure of 6.8 ibs/square inch, is there sufficient evidence at the 0.1 level that the valve does not perform to the specifications? State the null and alternative hypothesis for the above scenario.
A research conducted by SSTA022 Class representative at the University of Limpopo indicates that running increases the lifespan among African men. The mean lifespan of 31 African men runners was 34.0% more than the mean lifespan of 31 inactive African men, with variances reported to be 110.25% and 104.04%, respectively. Assuming the populations to be approximately normally distributed with equal variances.i) Can you conclude that there is a significant increase in the lifespan of the men runners over the inactive men at ? = 0.05? ii) Construct a 95% confidence interval for ?1 − ?2.
A lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used. A sample of 20 is made, and it is found that they have a mean of 2044.0 millimeters with a variance of 400.00 A level of significance of 0.05 will be used to determine if the doors are either too long or too short. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.

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