A chi-square goodness-of-fit test using a significance level of a = 0.05 was conducted to investigate whether the number of babies born in a town is uniformly distributed across the months of the year. The test produced a test statistic of x? = 5.6 with a corresponding p-value of 0.90. Which of the following is correct? A Births are uniformly distributed across months. в There is sufficient evidence to suggest that the distribution of births is not uniformly distributed across months. There is sufficient evidence to suggest that the distribution of births is uniformly distributed across months. D There is insufficient evidence to suggest that the distribution of births is not uniformly distributed across months. E There is insufficient evidence to suggest that the distribution of births is uniformly distributed across months.
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- A 2013 study was conducted to determine the energy requirements in non-obese men and women for the purpose of maintaining their current weight. The overall average total daily energy expenditure was 2,443 kcal/d. Assuming this variable follows a normal distribution with standard deviation of 397 kcal/d, conduct a test of significance to determine if this differs from a more recent study in which 95 randomly selected men and women (who claimed to have maintained their weight and body composition for a year) were measured. The sample mean is found to be 2,342 kcal/d. Use 5% level of significance. (Source: for the CALERIE Study Group, Energy requirements in nonobese men and women: results from CALERIE, The American Journal of Clinical Nutrition, Volume 99, Issue 1, January 2014, Pages 71-78, https://doi.org/10.3945/ajcn.113.065631) What is the value of the Z-test statistic? -0.25 -2.01 -2.48 -1.06 -3.41The breaking strengths of cables produced by a certain manufacturer have a mean, u, of 1875 pounds, and a standard deviation of 100 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 50 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1912 pounds. Can we support, at the 0.1 level of significance, the claim that the mean breaking strength has increased? (Assume that the standard deviation has not changed.) Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal…A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.8 mg and a standard deviation of 3.18 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest, if anything, about the effectiveness of the filters?
- A coin-operated drink machine was designed to discharge a mean of 8 ounces of coffee per cup. In a test of the machine, the discharge amounts in 16 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.97 ounces and 0.24 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.1 level of significance, to conclude that the true mean discharge, µ, differs from 8 ounces? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 Hị :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO O20 |(c) Find the value of the test statistic. (Round to three or more decimal places.) OBone 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 womenA 2013 study was conducted to determine the energy requirements in non-obese men and women for the purpose of maintaining their current weight. The overall average total daily energy expenditure was 2,443 kcal/d. Assuming this variable follows a normal distribution with standard deviation of 397 kcal/d, conduct a test of significance to determine if this differs from a more recent study in which 95 randomly selected men and women (who claimed to have maintained their weight and body composition for a year) were measured. The sample mean is found to be 2,342 kcal/d. Use 5% level of significance. (Source: for the CALERIE Study Group, Energy requirements in nonobese men and women: results from CALERIE, The American Journal of Clinical Nutrition, Volume 99, Issue 1, January 2014, Pages 71-78, https://doi.org/10.3945/ajcn.113.065631) What is the p-value? 0.0066 0.0132 0.4013 1.9868 0.9934A coin-operated drink machine was designed to discharge a mean of 8 ounces of coffee per cup. In a test of the machine, the discharge amounts in 20 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.14 ounces and 0.23 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.05 level of significance, to conclude that the true mean discharge, μ , differs from 8 ounces? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The two critical values at the 0.05 level…Perform a left tail test to test whether Machine-2 has less variability. Use a significance level of 0.01. What is the conclusion of the test results?A coin-operated drink machine was designed to discharge a mean of 9 ounces of coffee per cup. In a test of the machine, the discharge amounts in 15 randomly Español chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.89 ounces and 0.16 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.05 level of significance, to conclude that the true mean discharge, u, differs from9 ounces? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. Aa H, : H , :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) and ] (e) At the…A coin- ed drink machine was designed to discharge a mean of 7 ounces of coffee per cup. In a test of the machine, the discharge amounts in 13 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 6.96 ounces and 0.14 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.1 level of significance, to conclude that the true mean discharge, u, differs from 7 ounces? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. p H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) OA random sample of 15 hourly wages for restaurant servers (including tips) was drawn from a normal population. The sample mean and sample standard deviation were $14.9 and $6.75 respectevely.Can we infer at the 5% significance level that the mean wage for restaurant servers (including tips) is greater than 12?Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. 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