HA is the distribution of sample means according to the alternative hypothesis. Shade in the area that corresponds to a Type I crror.
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- The owner of a tire company wants to determine how long a new type of tire tread will last by measuring the length of time, in days, it takes for the tire tread to reach 2 mm. Let u = the true mean number of days it takes for the tire tread to wear to 2 mm. Which of the following sample sizes will have the least variability in the sampling distribution of the sample mean? 25 O35 O45 55Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.01 significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm Left arm OA. Ho: H0 H₁: Hg > 0 In this example, H is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test? OC. Ho: Hg 0 H₁: Hg 0 7 w S 152 170 x mand H Identify the test statistic. t=(Round to two decimal places as needed.) Identify the P-value. P-value (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? than the significance level, Since the P-value…What are the degrees of freedom for this test? d.f.= What is the p-value for this sample?
- Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than17 μg/g. Assume that the sample is a simple random sample. 13.5, 22.5, 7.5, 17, 22, 15.5, 9, 15.5, 5, 6 Determine the test statistics.Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a = 0.05 level of significance. Click the icon to view the table. = 22.323 (Round to three decimal places as needed.) What is the P-value of the test? P-value = 0.000 (Round to three decimal places as needed.) Based on the results, do the colors follow the same distribution as stated in the problem? A. Do not reject Ho. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. В. Do not reject Ho. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. Reject Ho. There is not sufficient evidence that the…
- A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a = 0.05 level of significance. Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. B. Ho: The distribution of colors is not the same as stated by the manufacturer. : The distribution of colors is the same as stated by the manufacturer. Hyi O C. None of these.Two samples with P, =.25,n, = 36 and p, = .3,n, = 49. Test if populations p, # p, at a= 0.05 level of significance. 8 %3DProvide two synonyms for “the distribution of all possible sample means for samples of a given size.”
- What appropriate post-hoc analysis is to be done if the F ratio is significant and the number of observations per group is the same?A. Tukey's HSD testB. Scheffe's S testC. Tukey-Kramer procedureD. One-Way ANOVAIn a randomized block ANOVA, identify the statistic that is used as a measure of variationa. among the sample means for the treatments.b. among the sample means for the blocks.c. within the samples for the treatments with the variation due to blocks removed.A chi-square homogeneity test is to be conducted to decide whether a difference exists among the distributions of a variable of seven populations. The variable has four possible values. What is the degrees of freedom for the x²-statistic? The degrees of freedom is (Simplify your answer.)