Find the least value of r in a sample of 18 pairs of observations from a bivariate normal population, significant at 5% level of significance?
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- Determine the critical value for a left tailed test of a population mean at the a= 0.01 level of significance based on a sample size of n= 9.Do campers with trailers really get better mileage per gallon on the highway? The table shows results from a study of the MPG (miles per gallon) of campers with trailers both in the mountains and on desert roads. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. At the 0.05 significance level, test the claim that the mpg on desert roads is better than in the mountains. MPG on Desert Roads 30.9 32.6 28.4 25.4 35.1 32.4 31.1 30.9 34.1 35.5 MPG in the Mountains 24 21.2 22.3 24.9 23.2 24.2 25.1 25.8 23.1 28.1 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Hg: Select an answer v Select an answer H: Select an answer ? v Select an answer v Original Claim = Select an answer v df =Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
- In a test of weight loss programs, 111 subjects were divided such that 37 subjects followed each of 3 diets. Each was weighed a year after starting the diet and the results are in the ANOVA table below. Use a 0.05 significance level to test the claim that the mean weight loss is the same for the different diets. Source of Variation Between Groups Within Groups Total P-value 25.38918 0.8127 0.446353 F crit 3.080387 df MS F 50.778 3373.977 3424.755 2 108 31.24053 110 Should the null hypothesis that all the diets have the same mean weight loss be rejected? O A. Yes, because the P-value is greater than the significance level. O B. No, because the P-value is greater than the significance level. OC. No, because the P-value is less than the significance level. O D. Yes, because the P-value is less than the significance level.Historically, evening long-distance calls from a particular city have averaged 15.1 minutes per call. In a random sample of 37 calls, the sample mean time was 13.3 minutes. Assume the standard deviation is known to be 5 minutes. Using a 0.05 level of significance, is there sufficient evidence to conclude that the average evening long-distance call has decreased?In a sample of 200 university professors, only 28 were woman. A newspaper claims that the proportion women professors in unis are less than 10%. Set up the hypothesis test for the newspapers claim and calculate the corresponding t-statistic rounded to 3.dp At 1% significance level th evidence does not refute the claim. True or false? Explain answer.
- For an upper-tail test at the 1% significance level, what is the appropriate critical value when a sample of size 28 is drawn from a normal population with unknown standard deviation?Use the order statistics approach to estimate a 90% confidence interval of 95.1% VaR for a sample size of n = 1000 observations drawn from a normal distribution with zero mean and variance one.In a test of the effectiveness of garlic for lowering cholesterol, 4949 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.30.3 and a standard deviation of 2.142.14 Use a 0.100.10 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 00. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A. Upper H 0H0: muμequals=00 mg/dL Upper H 1H1: muμless than<00 mg/dL B. Upper H 0H0: muμequals=00 mg/dL Upper H 1H1: muμgreater than>00 mg/dL C. Upper H 0H0: muμequals=00 mg/dL Upper…