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##### Statistics Questions

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Question;1.In an attempt to increase business on Monday nights, a restaurant offers a;free dessert with every dinner order. Before the offer, the mean number;of dinner customers on Monday was 150. The numbers of diners on a random;sample of 12 days while the offer was in effect are selected. Can you;conclude that the mean number of diners increased while the free dessert offer;was in effect?;What is (are) the parameter(s) of interest?;Construct a normal probability plot and a boxplot to visualize the;distribution of your sample data. Copy and paste these graphs into your assignment.;Below the graphs, answer the following questions.;Are there any major deviations from normality?;Are there any outliers present?;Is it appropriate to conduct statistical inference procedures, why or why;not?;If the answer to part iii is no, do not complete the rest of #3.;At the 0.05 significance level, can you conclude that the mean number;of diners increased from 150 while the free dessert offer was in effect?;State the null and alternative hypotheses.;State the significance level for this problem.;Calculate the test statistic.;Calculate the P-value and include the probability notation statement.;State whether you reject or do not reject the null hypothesis.;State your conclusion in context of the problem (i.e. interpret your results).;Construct a 99% confidence interval for the above data.;Interpret the confidence interval.;2.According to a report of the Nielsen Company, 65% of Internet;searches used Google as the search engine. Assume that a sample of 13;searches is studied. Let the random variable be the number of;searches where Google was used.;What is the name of the probability distribution of X? Write out;the setting (i.e. write out the four requirements of a particular setting that;you learned in class).;Produce a table that lists the possible values of the random variable and;the corresponding probabilities of each value?s occurrence.;What is the mean of this distribution? Show work using the formula.;What is the standard deviation of this distribution? Show work using;the formula.;Calculate the probability that of the 13 searches analyzed, at least 8 of;those searches used Google. Display a Minitab Graph with the correct;portion shaded as the answer to this question. Then, verify your answer;with using the table you displayed in part (b).;3.According to the U.S. Department of Agriculture, 58.8% of males between 20;and 39 years old consume the minimum daily requirement of calcium. After;an aggressive ?Got milk? advertising campaign, the USDA conducted a survey of;55 randomly selected males between the ages of 20 and 39 and finds that 36 of;them consume the recommended daily allowance of calcium.;If we conduct statistical inference above, what is (are) the;parameter(s) of interest?;Construct a 96% confidence interval for the above data.;Interpret the confidence interval as we learned in class. Show your;work using the formulas.;Construct a 96% confidence interval for the above data using the Plus;Four Estimate. Interpret the confidence interval as we learned in class.;Show your work using the formulas.;At the 0.05 significance level, is there evidence to conclude that the;percentage of males between the ages of 20 and 39 who consume the recommended;daily allowance of calcium has increased?;State the null and alternative hypotheses.;State the significance level for this problem.;Check the conditions that allow you to use the test statistic, and, if;appropriate, calculate the test statistic.;Calculate the P-value and include the probability notation statement.;State whether you reject or do not reject the null hypothesis.;State your conclusion in context of the problem (i.e. interpret your;results).

Paper#60401 | Written in 18-Jul-2015

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