rials in an experiment with a polygraph include 98 results that include 24 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the nullhypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution. Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses
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Trials in an experiment with a polygraph include 98 results that include 24 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the nullhypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the
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- 6A poll of 100 randomly selected car owners revealed that the mean length of time that they plan to keep their cars is 6.75 years and standard deviation is 3.60 years. Test the claim that the mean length of time for all car owners to keep their cars is less than 7.50 years. Use a 0.05 significance level.poll used a sample of 100 randomly selected car owners. Within the sample, the mean time of ownership for a single car was 7.18 years with a standard deviation of 3.37 years. Test the claim by the owner of a large dealership that the mean time of ownership for all cars is less than 7.5 years. Use a 0.05 significance level. Find the Z score and P value and if left-tailed or right-tailed. Also to reject or not too.
- You are the manager of a restaurant that delivers pizza to college dormitory rooms. You have just changed your delivery process in an effort to reduce the mean time between the order and completion of delivery from the current 25 minutes. A sample of 36 orders using the new delivery process yields a sample mean of 22.4 minutes and a sample standard deviation of 6 minutes. Perform a hypothesis test to determine if there’s evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes by answering the following questions: (a) What are the null and alternate hypotheses for this test? (b) What is the value of the test statistic for this test? (c) Using the critical value approach, at the 0.05 level of significance, what is the decision rule? (d) What is your conclusion in context of the problem? (Answer this question in a complete sentence(s) and include why, referring to the decision rule.) (e) Using the p-value approach, at the…Manufacturer of a CNC machine claims that the average warm-up time for their machine is 10 minutes. We would like to test this claim at a 0.10 significance level and therefore run 10 trials that result in the folowing warnm-up durations (in minutes). Warm-up durations are assumed to follow a Normal distribution. 9.6, 9.9, 10.5. 10.4, 9.7, 9.8, 9.6, 10.3, 10.1, 9.6 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. (a) Choose the correct Hg and H, below. O A. H,: H> 10 against H, : u= 10 O B. H,: p= 10 against H, : u 1o O D. H: µ# 10 against H,: u= 10 O E. H,: µ OB. t (d) Choose the correct conclusion below. O A. Do not reject the null hypothesis because the average warm-up time is not significantly different from 10 minutes. O B. Reject the null hypothesis because the average wam-up time is not significantly different from 10 minutes. OC. Reject the null hypothesis because the…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.) OThe amount of water consumed each week by Bronx residences is normally distributed. The population mean of water consumption is 120.3 gallons with a standard deviation of 10.0 gallons. Test the claim at the 0.10 significance level that the average amount of water consumed is not 125 gallons with a sample size of 100 residences. Do you retain or reject the null hypothesis?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 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…A researcher wishes to test whether the mean of a normally distributed population is greater than 1.06 at the 5% significance level. Based upon 22 independent observations, she observes a sample mean of 1.77 and a sample standard deviation of 0.84. Determine the degrees of freedom of the null distribution of Student's t test.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.) OAn article in the San Jose Mercury News stated that students in the California state university system take 6 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 53 students. The student obtains a sample mean of 4.1 with a sample standard deviation of 1.9. 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