The smaller the degrees of freedom, ________. A The larger the sample size B The larger the critial t C The smaller the critial z D The smaller the critial t
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The smaller the degrees of freedom, ________.
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- 1) Review the paired samples t test equation below and answer the questions: 1a. What is d with the bar over it called and how do you find it? 1b. What is the S (with subnotation of d) called? 1c. What is n?Exhibit 10-11An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year. The results are shown below. Under Age 18 Over Age 18 n1 = 500 n2 = 600 Number of accidents = 180 Number of accidents = 150 We are interested in determining if the accident proportions differ between the two age groups. Refer to Exhibit 10-11 and let pu represent the proportion under and po the proportion over the age of 18. The null hypothesis is _____. Group of answer choices pu – po ≤ 0 pu – po ≥ 0 pu – po ≠ 0 pu – po = 0Calculate the number of samples needed (margin of error =5%)for the population you are assigned with using the following a Cochran’s formula (z=1.96,p=0.6) b slovens formula
- Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of a national park. The deer counts per square kilometer were recorded and are shown in the following table. Mountain Brush Sagebrush Grassland Pinon Juniper 30 21 2 26 58 6 20 13 8 31 20 13 Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 2 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 3 decimal places.) What are the degrees of freedom? Find the P-value of the sample test statistic. Make a summary table for your ANOVA test.1. You plan to use a rod to lay out a square, each side of which is the length of the rod. The length of the rod is μ, which is unknown. You are interested in estimating the area of the square, which is μ^2. Because μ is unknown, you measure it n times, obtaining observations X1, X2,..., Xn. Suppose that each measurement is unbiased for μ with variance σ^2. a. Is X^2 a biased or an unbiased estimate of the area of the square? b. Find an unbiased estimate of the area of the square.Two samples of sizes 60 and 90 have 52 and 48 as the respective A.Ms. and 9 and 12 as the respective S.Ds. Find the A.M and S.D. of the combined sample of size 150.
- Five students provided data regarding the number of hours they spent on studying (TimeStudy) and their GPA. The data are as follows. Answer the following questions. TimeStudy GPA Student 1 2.00 3.50 Student 2 4.00 3.70 Student 3 5.00 3.30 Student 4 3.00 2.60 Student 5 4.00 3.40 Where SS(residual)=∑i(yi−yˆi)^2 is 0.6829 Calculate (by hand) the SStotal and SSmodel. What does mean by “goodness of fit”? What is the F-ratio for testing the “goodness of fit”? Is it statistically significant? Calculate this question by hand. What does tobs = 3.47 mean? What does tcrit = 3.47 mean? If the ƞ2 in an experiment is 0.6, give any possible value of ω2.How large a sample is needed to estimate the population proportion for each of the following?a. ME = 0.05; α = 0.01b. ME = 0.05; α = 0.10c. Compare and comment on your answers to parts a and b.13.d) Which of the following can we say about an asymmetric data set? The skew is nonzero and the excess kurtosis is positive. We cannot be sure of any of the statements above. The skew is zero and the excess kurtosis is positive. The skew is zero and the excess kurtosis is negative. The skew is nonzero and the excess kurtosis is negative.