1. Two samples drawn from normal distributions with the following sample sizes: ni= 15 and n:= 15,.sample means X- 6.2 and i- 7.8, and sample varjances s =4 and sz= 6.25. Assuming they haveequal variances. Their pooled estimator of variance (S,) is:a) 49.64চ)5.125c) 6.5d) 46.17.045Gret

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Answered: 1. Two samples drawn from normal…

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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An employer measured the number of units sold by his 400 sales employees. He noted that 40 woman employees had a mean sales of 122 and a variance of 60 while 35 men employees had a mean performance of 126 and a variance of 74. Assuming that the employees were randomly selected and the distribution is normal, is there a reason to believe that there is significant difference between the sales mean performances of the men and women sales employees? Use 0.01 level to test its significance. (Use the two sample mean z-test.)
1. If the standard deviation for a set of numbers equals 15, what is the variance for the same sample ? (a) 225 (b) 15 (c) sqrt(15) (d) 30 (e) none of these 2. For a given set of data, the value of Q1 = 50, and the value of Q3 = 80. What is the correct value for the interquartile range (IQR)? (а) 130 (b) 30 (c) 4000 (d) 1.6 (e none of these 3. For a set of data with 10 values, which statement is true ? (a) Q1 would be determined using the lowest 6 numbers. (b) Q1 would be determined using the highest 5 numbers. (c) Q3 would be determined using the highest 6 numbers. (d) Q3 would be determined using the highest 5 numbers. (e) Each of these statements is false. 4. For a set of data with 11 values, which statement is true ? (a) Q1 would be determined using the lowest 5 numbers. (b)Q1 would be determined using the highest 5 numbers. (c) Q3 would be determined using the highest 6 numbers. (d)Q3 would be determined using the highest 3 numbers. (e) Each of these statements is false. 5. Which…
(b) The data in the following Table 3 represent the number of hours of relief provided by five different brands of headache tablets administered to 15 subjects experiencing fevers of 38°C or more. Perform the analysis of variance and test the hypothesis at the 0.05 level of significance that the mean number of hours of relief provided by the tablets is the same for all five brands. Discuss the results. Table 3: Hours of relief by different brands of headache tablets Tablet Relief duration (in hour) Brand A B C D E 5.2 9.1 3.2 2.4 7.1 4.7 7.1 5.8 3.4 6.6 8.1 8.2 2.2 4.1 9.3
The weights of a bag of cement admixture produced by a company is approximately normally distributed with a mean of 9.0 kilograms and a variance of 0.64 kilogram. If measurements are recorded to the nearest tenth of a kilogram, find the proportion of these bags with weights (a) of at most 8.4 kilograms; (b) between 7.1 and 9.2 kilograms inclusive.
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Answer no. 10
One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?
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1. Two samples drawn from normal distributions with the following sample sizes: ni =15 and n:= 15. sample means f=6.2 and = 7.8, and sample varjances s,=4 and s-6.25. Assuming they have equal variances. Their pooled estimator of variance (S,) is: 4064