based on the data given, x(i): 3, 12, 6, 20, 14 y(i) : 55, 40, 55, 10, 5 a. compute the mean square error b. compute the standard error of the estimate c. compute the estimated stdev of b(1) d. use the t-test to test the following hypotheses: a = 0.05 H(0): b(1) = 0 H(A): b(1) /= 0 E. use the f-test to test the hypothesis in part d at .05 significance
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based on the data given,
x(i): 3, 12, 6, 20, 14
y(i) : 55, 40, 55, 10, 5
a. compute the
b. compute the standard error of the estimate
c. compute the estimated stdev of b(1)
d. use the t-test to test the following hypotheses: a = 0.05
H(0): b(1) = 0
H(A): b(1) /= 0
E. use the f-test to test the hypothesis in part d at .05 significance
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- The calibration of a scale is to be checked by weighing a 11 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with o = 0.200 kg. Let u denote the true average weight reading on the scale. (a) What hypotheses should be tested? Ho: H = 11 Ha: u + 11 Ho: H + 11 H3i H 11 a (b) With the sample mean itself as the test statistic, what is the P-value when x = 10.83? (Round your answer to four decimal places.) What would you conclude at significance level 0.01? Conclude that the true mean measured weight differs from 11 kg. Conclude that the true mean measured weight is the same as 11 kg. (c) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact u = 11.2? (Round your answer to four decimal places.) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact u = 10.9? (Round your answer to…State the H0 (null Hypothesis) and H1 (Claim, Alternative Hypothesis). Identify the claim. Determine whether the test is either left, right or two tailed tests. Show in the sketch of graph. Find the critical value Zα and label on the graph. This is the reject H0 Calculate the test statistic. Make our decision about H0. Interpret the decision. It is claimed that the mean weight of the shipping containers at the port is 1030 kg. α = 0.01, = 1033, s = 5.7 and n=17 Note: σ for population is unknownSuppose X∼N(μ=2,σ=0.5)X∼N(μ=2,σ=0.5) , then the z-score of x=2.7x=2.7 is choices: 1.4 1.1 1.6 -1.3
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