According to the Insurance Information Institute, the mean e…
According to the Insurance Information Institute, the mean expenditure for auto insurance in the United States was $774 in 2002. An insurance sales person believes that the mean expenditure for auto insurance is different now. He obtains a random sample of 35 auto insurance policies and determines the mean expenditure to be $815 with a standard deviation of $88.31. Is there sufficient evidence to conclude that the mean expenditure for auto insurance is different from the 2002 amount at the α = 0.10 level of significance?What is the decision rule (do you reject the null and conclude the alternative or do you fail to reject the null)? Please sure to state why.
Read DetailsAccording to 2021 Gallup poll, 37% of adult Americans consid…
According to 2021 Gallup poll, 37% of adult Americans consider themselves to be “moderate”. Cincinnati State students taking MAT 131 were asked to disclose their political philosophy and the results are located in the variable IDEOLOGY. For a certain semester, 73 students reported themselves to be “moderate” out of 182 students who were asked the question. Treat the results of the survey as a random sample of all Cincinnati State students who will take MAT 131. Do the results suggest the proportion of Cincinnati State students taking MAT 131 who consider themselves to be “moderate” is different than that reported by Gallup? Use an alpha level of 0.01.State the value of the test statistic. Round to two decimal places.
Read DetailsOne of the main goals in statistics is to describe a distrib…
One of the main goals in statistics is to describe a distribution without examining each individual value. This description is done by depicting the distribution’s shape, center, and spread. The following distribution is a random sample of Cincinnati State students’ heights (in inches) taken from the MAT 131 Student Survey: 59, 69, 63, 65, 70, 64, 65, 69, 63, 64, 63, 66, 67, 60, 64, 69, 60, 63, 66, 65, 59, 60, 70, 66 Here is the data set on StatCrunch. Describe the center for this distribution. Round to one decimal place.
Read DetailsA 35-year-old patient has a serum potassium level of 5.6 mmo…
A 35-year-old patient has a serum potassium level of 5.6 mmol/L. The laboratory report lists the reference range for serum potassium as 3.5–5.1 mmol/L. The provider contacts the lab to ask whether this value should be considered abnormal. Which of the following best explains how the reference range should be used in this context?
Read DetailsAccording to 2021 Gallup poll, 37% of adult Americans consid…
According to 2021 Gallup poll, 37% of adult Americans consider themselves to be “moderate”. Cincinnati State students taking MAT 131 were asked to disclose their political philosophy and the results are located in the variable IDEOLOGY. For a certain semester, 73 students reported themselves to be “moderate” out of 182 students who were asked the question. Treat the results of the survey as a random sample of all Cincinnati State students who will take MAT 131. Do the results suggest the proportion of Cincinnati State students taking MAT 131 who consider themselves to be “moderate” is different than that reported by Gallup? Use an alpha level of 0.01.State the conclusion (in clear English) to this hypothesis test.
Read DetailsThe New York Department of Health conducted an investigation…
The New York Department of Health conducted an investigation on the effect of a new vitamin supplement given to pregnant women. The results in the following table show the mean, standard deviation, and standard error of the birth weights (in kilograms) of a random sample of 16 male babies whose mothers took the vitamin supplement when pregnant. n mean std. deviation std. error Weight 16 3.675 0.657 0.164
Read DetailsAccording to the Insurance Information Institute, the mean e…
According to the Insurance Information Institute, the mean expenditure for auto insurance in the United States was $774 in 2002. An insurance sales person believes that the mean expenditure for auto insurance is different now. He obtains a random sample of 35 auto insurance policies and determines the mean expenditure to be $815 with a standard deviation of $88.31. Is there sufficient evidence to conclude that the mean expenditure for auto insurance is different from the 2002 amount at the α = 0.10 level of significance?State the p-value. Round to 4 decimal places.
Read DetailsThis following is the print out for the variable, DISTANCE_2…
This following is the print out for the variable, DISTANCE_2, from the MAT 131 Student Survey. This variable was the responses for the question, “What is the distance (in miles) from your home to the College?”. Assume that the sample is representative of all students taking Statistics 1 at Cincinnati State. 95% confidence interval results: Variable Sample Mean Std. Err. DF L. Limit U. Limit DISTANCE_2 13.872011 0.82889538 183 12.23659 15.507431 Is it likely that true mean distance from home to College for all students at Cincinnati State taking MAT 131 is greater than 20 miles? Explain.
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