a) a score of 811, when μ = 800 and σ = 229 against a score of 4524, when μ = 3127 and σ = 951.
Given a μ = 60 and σ = 10, find the z score that corresponds to x = 74
For a given population with σ=10.5 lb. we want to test the null hypothesis μ=66.5 against the alternative hypothesis μ ≠66.5 on the basis of a random sample of size n=64. If the null hypothesis is rejected when x¯<64.6 lb. or x¯>68.8. a) (3 points) What is the probability of a type I error? b) (4 points) What is the probability of a type II error and the power of the test when in reality μ=67.0?
For a population with μ = 90 and σ = 25, find the z-score corresponding to each of the following X values. (a) X = 95 (b) X = 110 (c) X = 65 (d) X = 80
Suppose that there is a .6 correlation between IQ (μ = 100, σ = 15) and verbal SAT score (μ = 500, σ = 100). What would be the variance of the estimate when predicting IQ from verbal SAT? 36 64 144 640
Test Ho: μ = 5.5 ounces against Ha: μ < 5.5 ounces, at the 0.05 level of significance. How large a sample is required if the power (1-β) of the test is to be 0.95 when |δ|/σ = 1.2 ?
Consider a normal population with μ = 37 and σ = 4.3. Calculate the z-score for an x of 48.5 from a sample of size 11. (Give your answer correct to two decimal places.) You may need to use the appropriate table in Appendix B to answer this question.
Consider a normal population with μ = 35 and σ = 5.8. Calculate the z-score for an x of 48.1 from a sample of size 22. (Give your answer correct to two decimal places.) You may need to use the appropriate table in Appendix B to answer this question.
Calculate the standard score of the given X value, X=89.7, where μ=88.2 and σ=89.4 and indicate on the curve where z will be located. Round the standard score to two decimal places.
Calculate the standard score of the given x value, x=90.1 , where μ=82.3 , σ=5.9 . Round your answer to two decimal places.
Assume a normal distribution with μ = 0 and σ = 1, find the z-score(s) for each statement below: a) the area is 0.8 to the left of z b) the area is 0.11 to the right of z c) the middle area is 0.45 between −z and z ;