Tests the claim that u > µz. Assume the samples are random and independent. 01 = 0.57 ; o2 = 0.53 = 42.69 ; z2 = 42.43 n1 = 41 ; n2 = 42 Standard Error Z-Test Statistic (71 – 72) – (µ – 42) n1 n2 a. Calculate the Standard Error o- = (3 decimal places) b. Calculate the Z-test statistic using the standard error from part a. z = (2 decimal places) c. At a = 0.1, Use the distribution table to find the critical values for the rejection region (3 decimal places)
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- 617. please state all 6 steps of the p method clearly please! Strength of concrete: The compressive strength, in kilopascals, was measured for concrete blocks from five different batches of concrete, both three and six days after pouring. The data are as follows. Can you conclude that the mean strength after three days differs from the mean strength after six days? Let μ1 represent the mean strength after three days and =μd−μ1μ2 . Use the =α0.05 level and the P -value method with the TI-84 Plus calculator. Block 1 2 3 4 5 After 3 days 1371 1379 1344 1383 1386 After 6 days 1328 1337 1344 1321 134526 The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. At α=0.01, can you conclude that the mean costs per ounce are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. Very good stain removal Good stain removal Fair stain removal 0.37 0.75 0.60 0.49 2.66 1.18 0.33 0.46 0.46 1.64 0.33 0.50 0.58 0.41 1.39 (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.f.N, is ____ and the degrees of freedom for the denominator, d.f.D, is _____ The critical…
- Tests the claim that 1 # p2. Assume the samples are normally distributed, random and independent. of + o S1 =0.77 ; s2 = 0.82 E1 = 48.92 ; z2 = 48.94 n1 = 24; n2 = 31 a. Calculate the Standard Error s-, = (use 3 decimal places) (use 2 decimal places) b. Calculate the t-test statistic using the standard error from part a. t = c. What are the degrees of freedom? df %3! d. At a = 0.02, Use the distribution table to find the critical values for the rejection region t = ± (use 4 decimal places) e. What is your conclusion? O Fail to reject the null hypothesis and do not support the claim O Reject the alternative hypothesis and support the claim O Accept the null hypothesis and support the claim O Reject the null hypothesis and support the claim O Accept the alternative hypothesis and reject the claim-2 2. 1), find c given P(Z > c) = 0.046, please show you For a standard normal distribution (u 0 and o answer to 2 decimal places.Suppose in a local Kindergarten through 12th grade (K -12) school district, 49% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. a. Find the mean and the standard deviation of X of B(144, 0.49). Round off to 4 decimal places. O = b. Now approximate X of B(144, 0.49) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y - N( c. Find the probability that at most 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X 75) - P(Y > a (Z > e. Find the probability that exactly 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 81) - P(NoneSuppose in a local Kindergarten through 12th grade (K -12) school district, 49% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. a. Find the mean and the standard deviation of X of B(144, 0.49). Round off to 4 decimal places. O = b. Now approximate X of B(144, 0.49) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y - N( c. Find the probability that at most 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X 75) - P(Y > a (Z > e. Find the probability that exactly 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 81) - P(answer pleaseJ Suppose that Shoe Sices Of American women have a bell Shaped elu standard with a mean of 8,37 and a eleviation of 1.49, using the empirical Rule what percentage of american women have Shoe Sizes that are no more than 9.su? do not Roundl your answerplease,detailed solution for you to understandQ2: Let X and Y have a bivariate normal distribution with parameters 4, = 2 = 1, of = 16, af = 25 and p = 3. The value of P(-3SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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