Consider a data set with a mean raw score of 25 and a variance of 2.25. If P( y < X < 28 ) = 0.81859, what is the raw score y?
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Consider a data set with a mean raw score of 25 and a variance of 2.25. If P( y < X < 28 ) = 0.81859, what is the raw score y?
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- Compute the standard score (Z-score) for x, when x = 42, the mean of the distribution = 26, and the standard deviation = 8. %3D %3D -2 2. We cannot tell because we don't know the value of the variance.A variance function Var(Y IX = x) tells us: about the variability of Y at different values of X. O the extent to which Y and X are correlated. whether the mean function is linear or curved. O if a data point is an outlier.X is a normal variable with mean of 8 and variance of 97. What is the z-score when x = 3?
- Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.3 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 870 samples is 6.4 ppm. Assume the variance is known to be 1.00. Does the data support the claim at the 0.1 level? Step 2 of 5 : Enter the value of the z test statistic. Round your answer to two decimal places.in a population of Yorkshire hogs, sample statistics indicate the following: Average Days to 250 lbs. (Days)= 160 Variance of Days = 9 Use the graphing paper attached to illustrate the normal distribution of Days in this population. Draw the bell shaped curve, label the mean, label the parameters showing where 68%, 95% and 99% of the population would be.A researcher uses an analysis of variance to test for mean differences among three treatments with a sample of n = 19 in each treatment. The F-ratio for this analysis would have which df values?
- a. What is the R-squared (R2) value? Interpret this value in context of the study. b. What is the estimated variance of the response, σ^2 ?can you fill in the blanksA physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
- Suppose the mean and variance of variable X are given respectively by μ = 36.2 and Var(X) =4.2. What is the average of the squared values of variable X?Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.8 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 242samples is 5.2 ppm with a variance of 1.001.00. Does the data support the claim at the 0.05 level? Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places. Specify if the test is one-tailed or two-tailed. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. Make the decision to reject or fail to reject the null hypothesis.You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to 3 decimal places. Data available at StatKey, choose Mice Wgt Gain-2e data set Light (x₁) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: Select an answer ? V Select an answer V Ha: Select an answer ✓ Based on the hypotheses, find the following: Test Statistic = Dark (₂) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 p-value = ? V Select an answer V (Hint: difference in means from Ha) The correct decision is to Select an answer…
