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In Exercises 1–4, calculate
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- A sample, from a population has a μ = 45 and σ = 10, has M = 49. If the sample corresponds to a z-score of +2.00 how many scores were in the sample?arrow_forwardThe test statistic of z = 0.96 is obtained when testing the claim that p > 0.4. b. Find the P-value.arrow_forward25. The populations, P, of six towns with time t in years are given by (i) P = 1000(1.08)t (ii) P = 600(1.12)t (iii) P = 2500(0.9)t (iv) P = 1200(1.185)t (v) P = 800(0.78)t (vi) P = 2000(0.99)t (a) Which towns are growing in size? Which are shrinking?arrow_forward
- Two groups of students are given a problem-solving test, and the results are compared. Group 1 Group 2 1 = 83.6 = 79.2 s1=4.1 s2=3.9 n1=36 n2=36 At α= 0.01, can it conclude that there is a significan difference in means of two groups? Explain with the 5 steps of hypothesis-testing.arrow_forwardThe test statistic of z equals 2.01 is obtained when testing the claim that p greater than n 0.2 a. Find the P-value.arrow_forward4.9) Let p(k) = P(X = k) = c2 k for k = 1, 2, 3, and p(k) = 0 otherwise. Find the value of c that makes p into a PMF.arrow_forward
- A study found that 1 out of 200 adult males have green eyes. If a random sample of 400 adult males is obtained, is the sampling of the sample proportion of males that have green eyes approximately normal? A. Yes, the sample size is greater than 10% of the population. B. Yes, the sample was randomly selected C. No, because np < 10 D. No, because nq < 10arrow_forwardMiddle school students were randomly sorted into one of two groups. Members of each group performed a series of mental tasks while music was playing in the background. One group listened to pop music and the other to country music. It is believed that music will impact the number of tasks completed. What can be concluded with α = 0.01? The results are below: pop country u1 = 34.34 u2 = 49.25 σ1 = 4.08 σ2=6.48 n1 = 14 n2 = 6 A) Condition 1: Conditon 2: B)Obtain/compute the appropriate values to make a decision about H0. critical value= test statistic= Reject or Fail to Reject C)Compute the corresponding effect size(s) and indicate magnitude(s). d= / magnitude= r2 = / magnitude =arrow_forwardShow that $p_{k+1}<(b / a) p_{n}$arrow_forward
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage