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.The sample size is less than 30, so we must check that this sample comes from a population that is normally distributed. Explain how we can check this requirement.

Which of the following best describes how Sodium Dodecyl Sulfate (SDS) contributes to protein separation during SDS-PAGE?

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.

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 p-value. Round to 4 decimal places.

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 spread for this distribution.  Round to one decimal place.

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 null and alternative hypothesis for this situation, and the type of tail.

Using question 3, can you state that the minority (less than 50%) of students at Cincinnati State taking Statistics 1 are smokers? Explain.

Public Policy Polling (PPP), a reputable polling company, asked the following question in a previous Halloween-eccentric public opinion poll:“If zombies took over the world and human civilization collapsed, how long do you think you could survive: less than one week, less than one month, less than six months, less than one year, or more than a year?” Of the 1,200 likely voters who were asked this question, 324 said “Less than one week”. Construct a 99% confidence interval for the true population percentage of likely voters who said that they would survive a zombie apocalypse for less than one week. Round to three decimal places.

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

Public Policy Polling (PPP), a reputable polling company, asked the following question in a previous Halloween-eccentric public opinion poll:“If zombies took over the world and human civilization collapsed, how long do you think you could survive: less than one week, less than one month, less than six months, less than one year, or more than a year?” Of the 1,200 likely voters who were asked this question, 324 said “Less than one week”. What is the best point estimate for the true population percentage of likely voters who said that they would survive a zombie apocalypse for less than one week? Round to two decimal places.