In order to determine whether or not there is a significant difference between the hourly wages of two companies(H₁: μ₁ −μ₂ = 0 vs. Ha: µ₁−µ₂‡0), the following data have been accumulated.Company ACompany BSample size8060Sample mean$16.75$16.45Population standard$1.2$0.9deviation(B) At the 5% level of significance, the null hypothesis should be rejected(A) The p-value is 0.0455(C) The test statistic is 1.69(D) The p-value is 0.091

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Answered: In order to determine whether or not…

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 two-sample hypothesis test is comparing the averages of the following populations. Population 1 is the salary of female employees and Population 2 is the salary of male employees. A hypothesis test was conducted to see if the average salary of males is greater than the average salary of females. Using the following as the output of the test, state the P-value and interpret the results in context to the problem. Use a significance level of 5% Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Females Males 65,852.00 89,562.00 1,003.00 1,025.00 45 30 0 37 -1.26 0.1200 1.3300 0.2400 1.2800 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt EEVA V Tx XQ5 二三 ||||| WORDS POWERED BY TINY
Consider the following statistics in the mid-season of Spanish La Liga. mean ball possession number of observations sample variance Real Madrid 0.70 14 0.2 Barcelona 0.80 12 0.7 Find a 90% per cent confidence interval between the mean ball possession between Real Madrid and Barcelona. Are they statistically different?
Q.1.1 Consumer testing services compared public opinion on gas ovens and electric ovens. They asked participants to rate their opinions using a scale from 1 to 10. A random sample of 220 households were interviewed. The descriptive statistics are as follows: MeanStandard deviation Sample size respectively Gas Ovens mean7.45 standars deviation3.32 sample size220 Electric Ovens mean8.85 standard deviation4.14 sample size220 Q.1.1.1 Calculate the standard deviation of the difference between the mean opinion scores of gas ovens and electric ovens. Q.1.1.2 The analyst concluded that there was 50% probability that the sample mean of opinion scores of gas ovens is smaller than that of electric ovens. He used z-transformations and got z = -3.9. Calculate the z value using information in the table to check if the value of -3.9 used by the analyst was correct.
Utility bills for single family homes are at least $150 per month. After an improvement in infrastructure, the utility company would like to determine if the utility bills are now less than $150 per month. The next 25 utility bills averaged $145.25 per month with the sample standard deviation of $10. At 0.10 significance level, test if the bills are less than $150. 1. Which of the following (A,B,C,or D) would be the correct hypothesis statement? A. Ho: p ≤ 0.25 Ha: p > 0.25 B. Ho: >= 150 H₂: μ 150 D. Ho: M 130 H₁: μ> 130 2. The critical value is 3. The statistical value in this problem is... three decimal places 4. The p-value range associated with the test statistic from the t table is ... 5. At a 10% level of significance, will the decision be to Reject or DNR?
"On the Standford-Binet test, the mean IQ is 100. A class of 13 kindergarten pupils were tested with a resulting mean of 94 and a standard deviation of 4.65. Does this group have a mean significantly different than the norm group? Use 0.01 as your level of significance. What are the given information? population mean:Blank 1 sample size:Blank 2 sample mean:Blank 3 sample standard deviation:Blank 4 level of significance:Blank 5 degrees of freedom: Blank 6 What are the critical values? Write the positive first then the negative t:Blank 7 andBlank 8 What is the value of the calculated t? Round your answer to the nearest hundredths. t:Blank 9"
Managers of an industrial plant want to determine which of two types of fuel, gas or electric, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 10 plants using electricity, which had a mean cost per unit of $53.50 and standard deviation of $8.19 , and 11 plants using gas, which had a mean of $55.40 and standard deviation of $8.23 . Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Construct a 95% confidence interval for the difference −μ1μ2 between the mean cost per unit for plants using electricity, μ1 , and the mean cost per unit for plants using gas, μ2 . Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least…
Does color enhance creativity? Test the indicated claim about the standard deviations or variances of two populations. Subjects are given a creativity exercise on a computer with either a red background or a blue background. The scores are shown in the table. At the 0.05 significance level, test the claim that those tested with red background have creativity scores with a standard deviation equal to the standard deviation for those tested with a blue background. Red Background Blue Background n1 = 39 n2 = 34 xˉx̄1 = 19.6 xˉx̄2 = 20.5 s1 = 0.72 s2 = 0.01 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer x̄₂ x̄₁ μ(red) p₂ p μ₁ μ₂ σ₁ s₁² σ(red) p₁ μ p̂₁ ? ≠ < > ≤ ≥ = Select an answer μ₁ μ₂ p₁ μ(blue) p σ₂ p₂ σ(blue) s₁² x̄₁ x̄₂ μ p̂₁ H1: Select an answer μ σ₁ x̄₁ μ(red) p̂₂ p₁ s₂² p₂ μ₂ μ₁ σ(red) x̄₂ p ? ≤ ≥ ≠ > = < Select an answer μ(blue) σ(blue) p μ μ₁ p₁ x̄₂ s₁² x̄₁ σ₂ p̂₁ p₂ μ₂…
Given below are the analysis of variance results from a stat software display comparing sample data for the meanmileage for 4 different types of cars. Assume that you want to use a 0.05 significance level in testing the null hypothesisthat the different samples come from cars with the same mileage. What can you conclude about the equality of the population means?Source DF SS MS F pFactor 3 13.500 4.500 5.17 0.011Error 16 13.925 0.870Total 19 27.425 12)What is the null and alternative hypothesis for this scenari?Based on this One Way Anova software analysis, would you reject of fail to reject the nul hypothesis?What does this result mean in context?
Which outcome is expected if the null hypothesis is true for an analysis of variance? a. SSbetween should be about the same size as SStotal. b. SSbetween should be about the same size as SSwithin. c. MSbetween should be about the same size as MStotal. d. MSbetween should be about the same size as MSwithin.
"On the Standford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 109 and a standard deviation of 7.44. Does this group have a mean significantly different than the norm group? Use 0.01 as your level of significance. What are the given information? population mean:Blank 1 sample size:Blank 2 sample mean:Blank 3 sample standard deviation:Blank 4 level of significance:Blank 5 degrees of freedom:Blank 6 What are the critical values? Write the positive first then the negative t:Blank 7 andBlank 8 What is the value of the calculated t? Round your answer to the nearest hundredths. t:Blank 9"
Independent random samples from two neighboring cities revealed the following information concerning the average amount of money spent on single family home utility bills during July. Assume normal populations using a .05 level of significance. City B 25 families City A Sample Size Average Bill Sample Standard Deviation 25 families $260 $20 $250 $23 We want to test if there is a difference in the amount the families in the two cities spend on utilities. Н: На: Pooled variance = What decision should be made?
The number of days between the receipt of a customer complaint and the resolution of the complaint, for a carpet installation company was collected. This data was used to generate the following boxplot and summary data. Days Mean 43.0 5 Number Summary Standard Error 5.9 Minimum 1 Median 28.5 Q1 15.25 Mode 5.0 Median 28.5 Standard Deviation 41.9 Q3 53.5 Sample Variance 1757.8 Maximum 165 Kurtosis 1.3 Skewness 1.5 Range 164.0 Minimum 1.0 Maximum 165.0 Sum 2152.0 Count 50.0 (a) Interpret the measures of central tendency. (b) Interpret the measures of variability. (c) Describe the shape of the data. (d) What can you conclude about how long a customer should expect to wait to have a complaint resolved?

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