13.A. A Personnel Manager is interested in trying to determine whether absenteeism is greateron one day of the week than on another. His records for the past year show the followingsample distribution:Day of the week:MondayNo. of absentees:66Tuesday Wednesday Thursday565448Test whether the absence is uniformly distributed over the week[Critical value of x2 = 9.49 at a = 0.05 and df = 4]Friday75

The objective of this question is to determine whether the absenteeism is uniformly distributed over…

Answered: 13.A . A Personnel Manager is…

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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8. Measurements are made on the lengths, in mm. of a sample of twenty wooden components for self-assembly furniture. Assume that these may be regarded as twenty independent observations from a normal distribution with unknown mean u and unknown variance o2. The data are as follows. 581 580 581 577 580 581 577 579 579 578 581 583 577 578 582 581 582 580 582 579 Find a 95% confidence interval for the standard deviation o. A. B. C. D. 1.942
a. Given the following information obtained from three normally distributed populations, construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS" to 2 decimal places, "MS" to 4 decimal places, and "P" to 3 decimal places.) SSTR = 186.2; SSE = 2,387.2; c = 3; n = n2 = n3 = 10 ANOVA Source of Variation SS df MS p-value Between Groups 0.363 Within Groups Total b. At the 1% significance level, what is the conclusion to the ANOVA test of mean differences? O Do not reject Ha. we cannot conclude that some means differ. O Reject Ho: we can conclude that some means differ. O Do not reject Ha: we can conclude that some means differ. O Reject Ha, we cannot conclude that some means differ.
3. Which of the following are practical ways to assess equal variances of the residuals? Select all that apply a. Hartley's F-max test (provided data look normal and sample sizes are same); b. Bartlett's test (provided normality seems to hold; sample sizes do not have to be the same); c. Levene's test (normality and equal sample sizes aren't needed) d. Boxplots of residuals, or boxplots of standardized residuals, or boxplots of the original data. e. Boxplots of cats and dogs.
(5). Calculate SS, variance and standard deviation for the following sample of n=7 scores: 8, 6, 5, 2, 6, 3, 5.
1. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II coffee. The following summary data (sample statistics) are collected? nį = 10 x, = 23 S1 = 3 Brand I Brand II n2 = 12 x2 = 25 S2 = 4 Assume that the two populations are normally distributed. A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?
a) which for these data is 32.1470, 42.3520, or 10.0674 c) that minimizes the error sum of squares, total sum of squares, or regression sum of squares…for which these data is 32.1470, 42.3520, or 10.0674
A1
. 3. A researcher is interested in knowing if preterm infants with late metabolic acidosis and preterm infants without the condition differ with respect to urine levels of a certain chemical. The mean levels, standard deviations, and sample sizes from the two samples are given below. Assuming that the populations have equal variances: a. Fill in the missing pieces of the Stata output. ttesti 38 8.5 3.5 32 6.85 2.6 X y Two-sample t test with A variances combined diff Obs Ho: diff=0 38 32 Sample With condition 70 diff mean(x) n 38 Without condition 32 Ha: diff |t|) = F [95% Conf. Intervall 7.349579 5.9126 6.98079 .1552544 t = degrees of freedom = 9.650421 7.7874 8.510638 3.144746 E b. What is the conclusion of your test? c. Use this output to construct a 99% confidence interval for the difference between the two means. 68 Ha: diff0 Pr(Tt) = 0.0155
2. We would like to investigate the incidence of concussions among athletes. Samples of soccer players, non-soccer athletes, and non-athletes are collected. # of Concussions 0 1 2 ≥ 3 Soccer 45 25 11 10 N-S Athletes 68 15 8 5 Non-athletes 45 5 3 0 To see whether these three types of individuals have the same distribution, conduct a chi-square test of homogeneity at a = 5%. State (i) the degree of freedom, (ii) the expected frequency count of each cell and (iii) the conclusion of the test.
A group is interested in seeing if the mean gas mileages from two different brands of gasoline are the same. To test this, they sampled 23 cars that used Type A gas and 17 cars that used Type B gas. From these samples, they calculated the following descriptive statistics (in terms of miles per gallon): Type A Gas Type B Gas ?n 23 17 ?⎯⎯⎯x¯ 29 29 ?s 4 5 (Assume the samples are independent and that the populations are normally distributed with unknown mean and standard deviation) (a) Is there significant evidence to suggest that there is a difference in gas milage? Test this at the ?=0.05α=0.05 significance level. State your conclusions regarding H0 (b) Calculate a 95% confidence interval for the true difference of the means. State your conclusions after calculating the interval.
Refer to the below table. Using an alpha = 0.05, test the claim that IQ scores are the same for children in three different blood lead level groups: low lead level, medium lead level, and high lead level). One-Way Analysis of Variance Summary Table for IQ Measurements for Children among Three Blood Lead Level Groups: Low Lead Level, Medium Lead Level, and High Lead Level. Source df SS MS F p Between-group (treatment) 2 469.1827 2677.864 2.30 0.104 Within-group (error) 118 203.6918 11745.05 Total 120

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