With reference to the preceding exercise, find therequired size of the sample when σ = 9, μ0 = 15, μ1 =20, α = 0.05, and β = 0.01.
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With reference to the preceding exercise, find the
required
20, α = 0.05, and β = 0.01.
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- A researcher reports t(22) = 5.30, p <.01 for an independent-measures research. How many individuals participated in the entire experiment?J 1 Consider the hypothesis statement to the right using a=0.01 and the data to the right from two independent samples. A) calcuate the appropriate test statistic and interpret the results b) calculate the p value and interpret the resultsDenise runs a dependent samples t-test and calculates r2subjects=.46 and r2condition=.23. a) SScondition is what proportion of SSsubjects (give in 2 decimals)?
- If all other values are held constant, what happens to the value of t when sample size increases ?Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800.Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.
- A researcher obtained a result of t(9)=1.22, p>.05 for their study using a one sample t-test. Are the results significant using an alpha level of .05 and how many participants were in the group?Two samples, each with n = 9 scores, produce an independent-measures t statistic of t = 2.00. If the effect size is measured using r2, what is the value of r2?A sample of n = 16 scores produces a t statistic of t = 2.00. If the sample is used to measure effect size with r2, what value will be obtained for r2?
- given normally distributed sample x=12 and s=3, use the Empirical Rule determine the upper and lower bounds to contain approximately 95% of your dataThe midterm exam scores (X) and final exam scores (Y ) for a sample of students are related by the formula Y = aX + C, where X and Y are independent normal random variables.Assume that C has a zero mean and unknown standard deviation σ. Some statistics of the samples are mean of x=15 s.d. of x=5 mean of y=35 s.d. of y=2 Assuming that the actual statistics of X and Y are equal to the statistics of the sample, calculate the parameters a and σ.For normally distributed data, what is the area greater than z = 0.34?