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Consider the following sample data set below. Calculate the range.  {12, 2, 8, 12, 15, 24, 20, 6, 22, 6} Make sure to round your final answer to 2 decimal places. For example, if you thought the final answer was 87.6543 then you would type in 87.65

A local restaurant was trying to figure out the best way to advertise to attract new customers from this town. The owner had a set amount of money to spend on advertising and they were trying to figure out if it was better to invest in advertisements on social media or television commercials. They conducted a survey of 300 local residents to gauge if they spent more time on social media or watching television. Out of the 300 residents who were surveyed, 167 of them stated that they spent more time on social media than watching television.  Use this information to carry out the appropriate hypothesis test at the

When carrying out a hypothesis test, if the p-value is larger than our significance level 

A study was conducted where the heights of students in middle schools from around the county  were collected and analyzed. The data was normally distributed and they found that the mean height of those middle school students was 1.512 meters with a standard deviation of 0.07 meters.  Calculate the corresponding z-score for a student whose height was 1.56 meters tall.    Make sure to round your final answer to 3 decimal places. For example, if you thought the answer was 1.462178 then you would type in 1.462.

A professor at a local community college decided to try out a new lecture format for his statistics class, and he was curious how well students performed using this new format. So the professor decided to record every student’s final grade at the end of the semester to determine how effective this new lecture format was. There were 26 students in his class and their final letter grades are shown below.  Distribution Table of Letter Grades Letter Grade Count/Frequency A 4 B 8 C 10 D Left Blank on Purpose F 1 Total 26 What percentage (relative frequency) of students received a D? Give your answer as a percentage rounded to 2 decimal places (i.e. If the answer is 17.43%, simply type in 17.43)

Steve Rogers, also known as Captain America was out on a run and was able to run 13 miles in 30 minutes which means that on average it took him about 2 minutes and 18 seconds (138 seconds) to run each mile. Dr. Banner took note of the time and was curious if Steve just ran 1 mile at a time, if his average time would be under 2 minutes (120 seconds) per mile. Dr. Banner decided to put Captain America to the test and he had him run a mile 34 times and he recorded the results each time. Out of those 34 times, he found the average time it took Captain America to run a mile was 119 seconds with a standard deviation of 7.1 seconds.  Based on the information above, carry out the appropriate hypothesis test at the

A study was conducted by Gallup in 2020 to gauge American’s views on the availability of education. Those surveyed were asked the following question: “Do you think education beyond high school is available to anyone in this country who needs it?” Individuals answered either ‘yes’ or ‘no’ and the results were broken down by age. This data is shown in the table below. There were 100 individuals surveyed from each age group. Use this information to carry out the appropriate test at the

Construct a data set that consists of 6 values where the median and the mean are both 12. Type your answer in the following format: {Value1, Value2, Value3, Value4, Value5, Value6}

A professor at a local community college decided to try out a new lecture format for his statistics class, and he was curious how well students performed using this new format. So the professor decided to record every student’s final grade at the end of the semester to determine how effective this new lecture format was. There were 33 students in his class and their final letter grades are shown below.  Distribution Table of Letter Grades Letter Grade Count/Frequency A 8 B 8 C 10 D 4 F 3 What percentage of students passed the class with a ‘C’ or better? (Cumulative Relative Frequency) Give your answer as a percentage rounded to 2 decimal places (i.e. If the answer is 17.43%, simply type in 17.43)

Consider a town where the average age of all individuals is 35.6 years old with a standard deviation of 13.7 years. Suppose you were to randomly select 50 individuals from this town as part of a study.  What is the probability that the average age of the 50 individuals in your study would be less than 40 years old or greater than 30 years old?