A random sample of 59 observations was selected from a normally distributed population. The sample mean was x = 95.1, and the sample variance was s2 = 35.2. Does this sample show sufficient reason to conclude that the population standard deviation is not equal to 8.2 at the 0.05 significance level? (a) State the appropriate null and alternative hypotheses. Ho: o ? v 8.2 Hạ: o? v 8.2 (ii) Find x*. (Give your answer correct to two decimal places.) (iii) Find the p-value. (Give your answer bounds exactly.)

You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 3 64 82 69 47 71 53 54 87 60 35 64 46 50 76 57 148.67 108.67 96.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments.

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The daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%? Which of the following sets of hypotheses should be used in this study? A. Ho: μ = 150 vs. Ha: μ > 150 B. Ho: μ = 150 vs. Ha: μ < 150 C. Ho: μ = 148 vs. Ha: μ > 148 D. Ho: μ = 148 vs. Ha: μ < 148

A sample of n = 7 scores is selected from a population with an unknown mean ( µ). The sample has a mean of M = 40 and a variance of s 2 = 63. Which of the following is the correct 95% confidence interval for µ?

Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted-living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set α = 0.02. The critical value for this hypothesis test would be

An oceanographer claims that the mean dive depth of a North Atlantic right whale is 113 meters. You suspect that this claim is not true. In order to refute the oceanographer's claim, you obtain a random sample of 38 dive depths with a mean of 95 meters and a standard deviation of 43.5 meters. State the null and alternative hypotheses of this test. Null Hypothesis (Ho): Alternative Hypothesis (HA): H[? ) To test our hypothesis, we will assume that u = The distribution of sample means follows a ( Select an answer distribution with degrees of freedom. The value of our test statistic is The p-value for this hypothesis test is Report answer accurate to four decimal places. Is the result considered significant at the a = 0.05 level of significance? No. The result is not significant because the p-value is > a. Yes. The result is significant because the p-value is > a. Yes. The result is significant because the p-value is < a. No. The result is not significant because the p-value is < a. We…

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. Based on a 14 bag sample where the mean is 437 grams and the variance is 121, is there sufficient evidence at the 0.05 level that the bags are overfilled? Assume the population distribution is approximately normal. Step 1 of 5:  State the null and alternative hypotheses. Step 2 of 5:  Find the value of the test statistic. Round your answer to three decimal places. Step 3 of 5:  Specify if the test is one-tailed or two-tailed.   Step 4 of 5:  Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

A sample of 38 observations is selected from one population with a population standard deviation of 3.0. The sample mean is 100.5. A sample of 50 observations is selected from a second population with a population standard deviation of 5.2. The sample mean is 98.8. Conduct the following test of hypothesis using the 0.02 significance level. He: H₁ H₂ H₁ H₁ H₂ Required: a. Is this a one-talled or a two-talled test? O One-talled test Ⓒ Two-talled test b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) The decision rule is to reject Hō if z is > Answer is complete but not entirely correct. the interval ( outside 1.96 X c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) 1.96 X