question 1

A coin-operated drink machine was designed to discharge a mean of 7 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 14 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.08 fluid ounces and 0.25 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, j, differs from 7 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 Ho and the alternative hypothesis H1. H : 0 H 1 : 0 (b) Determine the type of test statistic to use. (Choose one) Degrees of freedom: Chi-square Degrees of freedom: _ Degrees of freedom: din: afd: 0(c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the mean discharge differs from 7 fluid ounces? OYes ONo P P 0-0 050 020On their website, a property management company states that the mean monthly rent for apartments on the east side of town is $750. A researcher for a consumer advocacy group believes that, due to the construction of newer apartment complexes in neighboring towns, the mean monthly rent on the east side, Al, Is now lower. A random sample of 20 monthly rents for apartments on the east side has a mean of $739, with a standard deviation of $23. Assume that current monthly rents for apartments on the east side are approximately normally distributed. Based on the sample, is there enough evidence to conclude, at the 0.05 level of significance, that the population mean monthly rent is now less than what is stated on the website? Perform a one-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 Ho and the alternative hypothesis H. H :0 H, :0-0 050 020 DO 030 0>0 (b) Determine the type of test statistic to use. (Choose one) Degrees of freedom: Z Chi-square Degrees of freedom: F Degrees of freedom: din: did: 0 1(c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the mean monthly rent for apartments on the east side is less than what is stated on the website? OYes ONoThe proportionp of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 135 out of a random sample of 220 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 level of significance? Perform a onetailed test. Then complete the parts below. Cany your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H,. H : 1 H , : 0 0-0 030 020 (b) Determine the type of test statistic to use. (Choose one) Degrees of freedom: 0 Y Chi-square Degrees of freedom: 0 F Degrees of freedom: din: [ did: 0 |(c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? OYes ONoBased on their records, a hospital claims that the proportion,p, of fullterm babies born in the community that weigh more than 7 pounds is 46%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 230 babies born in the community, 98 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.10 level of signicance? Perform a twotailed test. Then complete the parts below. Cany your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H. H : 0 H, : 0 0-0 030 020 (b) Determine the type of test statistic to use. (Choose one) Degrees of freedom: Chi-square Degrees of freedom: ( Degrees of freedom: din: did: 0 |Find the 1lralue of the test statistic. (Round to three or more decimal places.) D Find the pvalue. (Round to three or more decimal places.) D Can we reject the claim that the proportion of fullterm babies born in the community.' that weigh more than T pounds is 45%? rElves Ci No Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 75%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 75%. A poll is commissioned, and 197 out of a random sample of 260 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance? Perform a one-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 Ho and the alternative hypothesis H. Ho : 0 H : 0 0-0 030 020 OF0 0 0 0>0 (b) Determine the type of test statistic to use. (Choose one) Degrees of freedom: Z Chi-square Degrees of freedom: _ Degrees of freedom: din: did: 0 -[c] Find the 1u.ralue of the test statistic. (Round to three or more decimal places.) D {d} Find the Joiuralue. {Round to three or more decimal places.) {e} Is there enough evidence to support the political scientist's claim that the proportion of college students who 53'}! they're interested in their district's election results is more than T594}? Cites rCiiilo Based on their records, a hospital claims that the proportion,p, of fullterm babies born in the community that weigh more than 7 pounds is 45%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 155 babies born in the community, 54 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.10 level of signicance? Perform a twotailed test. Then complete the parts below. Cany your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H,. Ho : 0 P 0-0 030 020 (b) Determine the type of test statistic to use. (Choose one) t Degrees of freedom: 0 Z Chi-square Degrees of freedom: _ F Degrees of freedom: din: did: 0 |{c} Find the 1iralue of the test statistic. (Round to three or more decimal places.) D (d) Find the pvalue. [Round to three or more decimal places.) D [e] Can we reject the claim that the proportion of fullterm babies born in the communiti.i that weigh more than 7 pounds is 45%? E'Ves G No According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,940 miles with a standard deviation of 2920 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, p, is less than 12,940 miles. He takes a random sample of 50 cars under the new contracts. The cars in the sample had a mean of 12,340 annual miles driven. Is there support for the claim, at the 0.05 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,940 miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a onetailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specied below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H,. H : H, : 1 0-0 030 020 (b) Determine the type of test statistic to use. (Choose one) Degrees of freedom: 0 z Chi-square Degrees of freedom: _ Degrees of freedom: din: dfd: 0 |(c} Find the VEIIUE cut the test statistic. {Round to three or mere decimal places.) D (d) Find the pvalue. [Round ta three or mere decimal places.) D (e) Can we support the claim that the population mean number of miles driven annually by cars under the new contracts is less than 12,94'3 miles? lCiii'es D Mc- Keiko recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 115 millimeters of mercury (mull-1g). Keiko believes the value is actually higher. She bases her belief on a recently reported study of 14 randomly selected, elderly females. The sample mean systolic blood pressure was 128 mmHg, and the sample standard deviation was 23 mmHg. Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.10 level of signicance, can it be concluded that u, the population mean systolic blood pressure among elderly females, is greater than 115 mmHg? Perform a onetailed 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 Ho and the alternative hypothesis H. H : 0 0-0 030 020 (b) Determine the type of test statistic to use. (Choose one) V Degrees of freedom: | z Chi-square Degrees of freedom: _ Degrees of freedom: din: [ drd: 0 |(c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can it be concluded that the mean systolic blood pressure among elderly females is greater than 115 mmHg? OYes ONoAmong college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 65%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 65%. A poll is commissioned, and 173 out of a random sample of 260 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance? Perform a one-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 Ho and the alternative hypothesis H,. H : 0 H 1 : 0 P 0-0 030 020 (b) Determine the type of test statistic to use. (Choose one) Degrees of freedom: 0 Z Chi-square Degrees of freedom: _ F Degrees of freedom: din: did: 0 | -(c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the political scientist's claim that the proportion of college students who say they're interested in their district's election results is more than 65%? OYes ONo