Suppose that a medical clinic wants to test whether there is a relationship between sex and age class in the number ofdeaths caused by cancer. The table shows the observed frequencies (counts) of a simple random sample of 117 deathsrelated to cancer.Younger than 4545 and olderTotalMale86068Female44549Total12105117Does this sample meet the requirements for conducting a chi-square test for independence?The sample does not meet the requirements because the expected frequency in at least one cell is less than 10.The sample does not meet the requirements because the expected frequency in at least one cell is less than 5.The sample does not meet the requirements because the observations are not independent.The sample meets the requirements because the observed frequency in each cell is at least 5.The sample meets the requirements because the expected frequency in each cell is at least 5.

Male Female Total Younger than 45 8 4 12 45 and older 60 45 105 Total 68 49 117

Answered: Suppose that a medical clinic wants to…

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 chi-square homogeneity test is to be conducted to decide whether a difference exists among the distributions of a variable of seven populations. The variable has four possible values. What is the degrees of freedom for the x²-statistic? The degrees of freedom is (Simplify your answer.)
The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A ( group 1) and B ( group 2) . A random sample of 16 rats was selected from group land 13 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 16 3.5 3.0 1.05 group 2 13 2.20 2.0 1.15 F15,12,0.05 = 0.404 F 19,16,0.025 = 0.386 F16,10,0.025 =0.335| F16,10,0.05 =0.401 F15,12,0.1 =0.496 F19,16,0.05 =0.451 F10,16,0.025 = 0.286 F 12,15,0.05 =0.382 F16,19,0.025 = 0.371| F10,16,0.05 = 0.354 F12,15,0.1 =0.475 F16,19,0.05 = 0.437| Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval ] O a. None of these O b. [ 2.488, O0.238 ] O c. [ 2.160 , 0.309] O d. [2.063 , 0.318]
A behavioral researcher measures the stress response of mice exposed to scary animal pictures (cat, dog, lion, Cheshire cat) with a GABA sensor implanted in the brain. He uses randomly assigned 40 mice, 10 in each group. The researcher records the amount of stress after 30 seconds assuming that there is no difference in the response in whatever way the mouse is scared. The data is normally distributed. Means and variances are provided in the table below. Is there a difference in the response to scary animals. Group 1 - Cat n₁=10 m₁ = 10 s² 1= 1.8 Group 2 - Dog n2=10 m₂= 5.0 s²2= 3.4 Why is the scare effect so low in group 4? Group 3 - Lion n3=10 m3= 3.4 s²1= 2.5 Group 4 - Chesire Cat n4=10 m4= 2.4 s² 1= 1.6
A random sample of patient records from a large medical facility were taken and subjects were classified by smoking status and cholesterol levels. The results are summarized in the table with observed counts next to expected values in parentheses followed by the Chi-square component for each cell in brackets. Cholesterol Level Never Smoked 80 (68.86) [1.80] 49 (48.55) [0.00] 28 (39.59) [3.40] Totals 157 Low Moderate High Smoking Status Former Smoker 63 (63.16) [0.00] 37 (44.53) [1.27] 44 (36.32) [1.63] 144 Current Smoker 57 (67.98) [1.77] 55 (47.93) [104] 43 (39.09) [0.39] 155 Discuss briefly if the conditions for this test have been met. Totals 200 141 115 456
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Gestation period is the length of pregnancy, or to be more precise, the interval between fertilization and birth. In Syrian hamsters, the average gestation period is 16 days. Suppose you have a sample of 31 Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups, and who have an average gestation length of 17.1 days and a sample variance of 26.0 days. You want to test the hypothesis that Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters. Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is sMM= a. 31, b. 0.5232, c. 0.7328, d. 0.9158. The t statistic is- a. 1.50, b. 2.10, c. 2.63, d. 1.20 Now suppose you have a larger sample size n = 95. Calculate the estimated standard error and the t statistic for this sample with the same sample average and the same…
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6
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