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.

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

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.

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.

Gasoline pumped from a supplier’s pipeline is supposed to have an octane rating of 87.5. For 13 consecutive days, a liter of gas from the pipeline was obtained and analyzed. The resulting octane readings for these 13 days are given below:88.6     86.4     87.2     88.4     87.2     87.6     86.8     86.1     87.4     87.3     86.4     86.6     87.1Here is the data set in StatCrunch. The supplier wants to test the claim that the octane reading from the pipeline has a true mean that is less than 87.5 at the 5% level of significance. State the null and alternative hypothesis for this situation and the type of tail.

Gasoline pumped from a supplier’s pipeline is supposed to have an octane rating of 87.5. For 13 consecutive days, a liter of gas from the pipeline was obtained and analyzed. The resulting octane readings for these 13 days are given below:88.6     86.4     87.2     88.4     87.2     87.6     86.8     86.1     87.4     87.3     86.4     86.6     87.1Here is the data set in StatCrunch. The supplier wants to test the claim that the octane reading from the pipeline has a true mean that is less than 87.5 at the 5% level of significance.Are the results of the test statistically significant?

Gasoline pumped from a supplier’s pipeline is supposed to have an octane rating of 87.5. For 13 consecutive days, a liter of gas from the pipeline was obtained and analyzed. The resulting octane readings for these 13 days are given below:88.6     86.4     87.2     88.4     87.2     87.6     86.8     86.1     87.4     87.3     86.4     86.6     87.1Here is the data set in StatCrunch. The supplier wants to test the claim that the octane reading from the pipeline has a true mean that is less than 87.5 at the 5% 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)? Be sure to state why.

An ABC News poll in April 2007 of a random sample of 1002 adults nationwide asked about various measures the government could take to try to reduce future global warming (www.pollingreport.com/enviro.htm). When asked whether the government should increase taxes on gasoline so people either drive less or buy cars that use less gas, 681 people said no. Test, at the 0.01 level of significance, the claim that the majority (more than 50%) of U.S. adults believe that the government should not increase taxes on gasoline to help reduce future global warming.State the value of the test statistic. Round to two decimal places.

Experiments on animal learning often measure how long a mouse takes to get through a maze. For one particular maze, the true mean time is 18 seconds. A researcher thinks that a loud noise will help the mice to complete the maze faster. She measures the average time, x-bar, required for 10 mice to complete the maze when the loud noise is played. Which is a suitable null hypothesis in this situation?

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 Interpret the confidence interval in the terms of the problem.