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- A botanist collected one leaf at random from each of 10 randomly selected mature maple trees of the same species. The mean and the standard deviation of the surface areas for the 10 leaves in the sample were computed.Assume the distribution of surface areas of maple leaves is normal. What is the appropriate method for constructing a one-sample confidence interval to estimate the population mean surface area of the species of maple leaves, and why is the method appropriate?According to government data, the mean salary of a fresh graduate is 20,000 with a standard deviation of 4,000 pesos. A random sample of 50 fresh graduates in the Philippines was taken and the average salary obtained was 22,500 pesos. Does this indicate that the average salary of fresh graduates today is greater than 20,000 pesos? Perform a test of hypothesis at a 5% level of significance. Use the critical value approach.A high-profile consulting company chooses its new entry-level employees from a pool of recent college graduates using a five-step interview process. Unfortunately, there are usually more candidates who complete the interview process than the number of new positions that are available. As a result, cumulative GPA is used as a tie-breaker. GPAs for the successful interviewees are Normally distributed, with a mean of 3.3 and a standard deviation of 0.4. What percent of candidates have a GPA above 3.6? a. 6.7% b. 2.3% c. 22.7% d. 13.6%
- The mean age when smokers first start is 13 years old with a population standard deviation of 2 years.researcher thinks that smoking age has significantly changed since the invention of ENDS-electronicnicotine delivery systems. A survey of smokers of this generation was done to see if the mean age haschanged. The sample of 33 smokers found that their mean starting age was 12.3 years old. Do the datasupport the claim at the 5% significance level?What are the correct hypotheses? Ho: Hu: Based on the hypotheses, find the following:Test Statistic z(Give answer to 2 decimal places)Critical Values =(Give answer to 2 decimal places) Based on the above we choose to Select an answer The correct summary would be: Select an answer mean age smokers first start is different than 13.A coin-operated drink machine was designed to discharge a mean of 8 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 18 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.04 fluid ounces and 0.27 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ, differs from 8 fluid ounces? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. a. State the null hypothesis H0 and the alternative hypothesis H1. b. Find the value of the test statistic. Round to three or more decimal places. c. Find the p-value. Round to three or more decimal places. d. Can we conclude that the mean discharge differs from 8 fluid ounces?Is there a doctor in the house? A market research firm reported the mean annual earnings of all family practitioners in the United States was $178,258 . A random sample of 57 family practitioners in Los Angeles had mean earnings of =x$192,890 with a standard deviation of $43,107 . Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles differs from the national average? Use the =α0.10 level of significance and the critical value method with the table. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion. Use the =α0.10 level of significance.
- The level of nitrogen oxides (NOX) in the exhaust of a particular car model varies with mean 0.9 grams per mile and standard deviation 0.16 grams per mile . (a) What sample size is needed so that the standard deviation of the sampling distribution is 0.01 grams per mile ?Students at the State Univ. randomly selected 217 student cars and found that they had ages with a mean of 7.89 years and a standard deviation of 3.67 years. They also randomly selected 152 faculty cars and found that they had ages with a mean of 5.99 years and a standard deviation of 3.65 years. Using a 0.05 level of significance, is there sufficient evidence to support the claim that student cars are older than faculty cars? Use the Critical Value Method of Testing. In your work space below, you will need to have -1. The null hypothesis, Ho 2. The alternative hypothesis, H1 3. The test statistic 4. The type of test(left, right, two-tailed) and the critical value 5. The decision to accept Ho or reject Hothe average baptismal cost includes 50 guests.a random sample of 32 baptismal during the past year in the national capital region had mean of 53 guests and a standard deviation of 10.is there a sufficient evidence at the 0.05 level of significance that the average number of guests differ from natinal average?
- A national car insurance company stated that the average cost of yearly car insurance for a person in the U.S. was $1198. At the same time, a random sample of 39 people in California resulted in a mean cost of $1210 with a standard deviation of $20. Does this suggest that the average cost of insurance for a person in California exceeded the national average for that year? Set up hypotheses Perform the appropriate test. Interpret your results using a Type I (alpha) error of .025 Provide the p value as a significance level.A coin-operated drink machine was designed to discharge a mean of 8 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 17 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.02 fluid ounces and 0.18 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ , differs from 8 fluid ounces? Use the 0.05 level of significance. 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 H0 and the alternative hypothesis H1 . H0: H1: (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…A coin-operated drink machine was designed to discharge a mean of 6 fluid 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 5.92 fluid ounces and 0.13 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ , differs from 6 fluid ounces? Use the 0.10 level of significance. 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 H0 and the alternative hypothesis H1 . H0: H1: (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…