The average height for an NCAA Division 1 men’s basketball p…

The average height for an NCAA Division 1 men’s basketball player is 77 inches. Assume this data is normally distributed with a standard deviation of 8 inches. Use this information to answer the following question.  What is the probability that a randomly selected NCAA D1 men’s basketball player is more than 72 inches tall? Make sure to round your answer to 2 decimal places; i.e. if your answer was 0.654321 then you would type in 0.65. 

Determine if the following situation satisfies all of the co…

Determine if the following situation satisfies all of the conditions required for a binomial probability experiment. If it does, then specify how each of the conditions are satisfied. If it does not, then specify which conditions are not met. Make sure to provide sufficient justification for your answers by stating how each condition is met in context of the scenario given.    Scenario: A student walks into class after not showing up the week before and finds out there is a multiple choice quiz in class that day. Since they were not in class during the previous week, all they can do is randomly guess on each question. There are 16 questions on the quiz and all of the questions have 4 possible answers (A,B,C, or D). The number of correct answers on the quiz will be recorded. 

A study was conducted to determine how movie lengths vary ba…

A study was conducted to determine how movie lengths vary based on genre. As a part of that larger study, it was found that the average length of all movies is 117 minutes. Assume this data is normally distributed with a standard deviation of 26 minutes. Use this information to answer the following question.  What is the probability that a randomly selected movie is either shorter than 105 minutes or longer than 130 minutes? Make sure to round your answer to 2 decimal places; i.e. if your answer was 0.654321 then you would type in 0.65. 

A study was conducted in 2018 to look at average annual sala…

A study was conducted in 2018 to look at average annual salaries for individuals who lived in Wisconsin. It found that on average individuals in Wisconsin earned $56,302 per year. Assume the true standard deviation for annual salary was $8,000. Suppose you took a random sample of 50 individuals from Wisconsin in 2018 and recorded their salaries. Use this information to answer the following question. What is the probability that the average salary for those 50 individuals in your sample would fall between $48,000 and $55,000 per year? Make sure to round your answer to 2 decimal places; i.e. if your answer was 0.54321 then you would type in 0.54. 

In 2019, a study was carried out to determine whether a high…

In 2019, a study was carried out to determine whether a higher proportion of males in the US watch NFL games on television as opposed to females. For this study, the researchers surveyed 200 males and 200 females. 136 out of the 200 males stated that they watched NFL games on television while 121 out of the 200 females stated that they watched NFL games on television. Carry out a difference of proportions test at the

A professor was interested in comparing how well her student…

A professor was interested in comparing how well her students performed on their midterm and final exams in her calculus course. She randomly sampled 7 students from her class and recorded their midterm and final exam grades which are shown in the table below.  Midterm and Final Exam Grade Comparisons Student X=Midterm Exam Y=Final Exam Student 1 59 76 Student 2 65 67 Student 3 92 93 Student 4 80 92 Student 5 56 66 Student 6 50 68 Student 7 67 88   Use this information to calculate the slope of the least squares regression line.  Make sure to type your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 98.76543 then you would type in 98.765.

A researcher was interested in determining whether or not “M…

A researcher was interested in determining whether or not “Money can buy happiness”. He randomly sampled 300 individuals and asked them how much money they make annually as well as how happy they were at this point in their life on a scale from 1-10. He then proceeded to analyze the data and came up with the following regression equation where X represents the amount of money in tens of thousands of dollars that they made (i.e. $75,000 would correspond to 7.5) and Y represents their predicted happiness level:   Use this linear regression equation to predict the an individuals happiness level if their annual income is $50,000.  Type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 6.54321 then you would type in 6.543. 

Suppose you were to flip a fair coin 7 times and you recorde…

Suppose you were to flip a fair coin 7 times and you recorded the number of “Tails” that you received. Find the probability that you would get exactly 4 “Tails” out of 7 coin tosses.  Make sure to type in your answer rounded to 2 decimal places. For example, if you thought the answer was 1.23456, then you would type in 1.23.

Consider the table below that shows how many students from e…

Consider the table below that shows how many students from each year are in each of the Hogwart’s houses. Use this information to answer the probability question that follows.  Hint: I would recommend finding the totals for each row and column first.  Probability Table Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Ravenclaw 30 38 34 33 39 31 35 Hufflepuff 36 33 29 37 39 35 34 Gryffindor 32 36 41 32 33 35 35 Slytherin 34 32 36 39 33 32 31   Find the probability that a randomly selected student is in year 5 or from Ravenclaw.    Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was , then you would type in 0.431.