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Q1) Table illustrates the SAT verbal test scores for 9 randomly selected female students and 14 randomly selected male students. Suppose that sat verbal test scores are normally distributed. At a = 0.01, test claim that test score variance for females is different from that for males.
Female
480
610
340
630
520
690
540
Male
560
680
360
530
380
460
600
800
310
730
740
400
510
Q2) Steel pipe fittings company claims that yield strength of its nontempered couplings is more variable than that of its tempered couplings. Random sample of 9 tempered couplings has standard deviation of 13.1 megapascals, and similar sample of 9 nontempered couplings has standard deviation of 25.4 megapascals. From past data, it is recognized that company's production process results in normally distributed yield strengths. Test company's claim at a = 0.05.
We want to test the hypothesis that the population variances are equal.
Use suitable one or two sided test for null hypothesis of no difference in them then changes rating between groups at 0.10 significance level.
In order to test the assumption of a Poisson distribution, a random sample of 150 ten-minute intervals was taken.
where the deviations εi are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
Explain why we need to use the t distribution. What assumption do you need to make?
The researcher computes the sum of squares for groups as SSG = 40030 and the sum of squares for error as SSE = 414780. The numerical value of the ANOVA F statistic is
In a distribution of scores, the arithmetic mean is 51, the median is 55, and the mode is 62. What is the score, in percentile form, of a subject who does less well than two-thirds of the sample?
Conduct the hypothesis test and compute the p-value. At a 0.05 level of significance, what is your conclusion?
The standard deviation of the population of adult female height scores is 3 inches. A random sample of 50 women yields a mean height of 64 inches. Calculate the standard error of the mean.
What is the probability that a respondent said neither the Big Ten nor the Pac-10 would have a team in the Rose Bowl?
A business owner decides to use a binomial distribution to solve one of his problems.
Based on the equation of the least-squares line, we use software to predict the average number of home runs hit per game per team for the year 2001. We obtain the following.
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