During the 2016-2017 season, the University of South Carolina Men's Basketball team made it to the final 4. The Lady Gamecocks made it to the final four and won the National Championship. Below are the number of points each team scored during each of the games they played during the 2016-2017 season. Use the back- to-back stem and leaf plot to answer the questions. Men's Team Women's Team 7 43 5 5 9 9 8776 4 4 3 3 2 10 6 0 0 22 3 4 5 6 6 7 97777630 0 0 0 0 0 11 23 4 5 6 99 8 8 6 5 2 1 8 0 1 2 3 3 4 9 8 3 20 9 0 2 2 3 3 5 8 10 0 Key: 3 | 5 = 53 points Key: 5 | 9 = 59 Points 4. What is the population standard deviation for each team? The men had a standard deviation of points (round to nearest points and the women had a standard deviation of hundredth). 5. Based on the standard deviation, which team's points varied more? The varied more based on the standard deviation. + team's points

Q: Mark, who is on the UNH football team, weighs 236 pounds. The entire football team has a mean weight…

A: Calculate the z-score corresponding to the Mark

Q: Ten friends scored the following marks in their end-of-year math exam: 23%, 37%, 45%, 49%, 56%, 63%,…

A:

Q: What

A: Explanation and solutions is given below....

Q: 11) Find the score that separates the top 80% from the bottom 20% if the Mean is 100 and the…

A: Given: Using Z table or excel command =NORMSINV(0.20) we get,

Q: 3. To compare the braking distances for two types of tires, a safety engineer conducts 35 braking…

A:

Q: What is the standard deviation of the following: 12, 47, 31, 18, 20, 35

A: Compute the mean of the data using the formula: x=∑ixin x=12+47+31+18+20+356  =1636  =27.1667

Q: Aaron, as a fifteen-year-old, established a mean time of 16.43 seconds for swimming the 25-yard…

A: It is given that the mean time for swimming the 25-yard freestyle is 16.43 seconds and standard…

Q: Seven students on an intramural team weigh 179 lb, 172 lb, 174 lb, 185 lb, 162 Ib, 181 Ib and 193…

A: According to the provided information, the sample weights are 179, 172, 174, 185, 162, 181, 193

Q: Suppose the country club bills based on a sample of 4 members are: 410, 1,089, 637, 961. What is the…

A: Given information- We have given the country club bills based on a sample of 4 members. 410, 1,089,…

Q: The mean life of a battery is 50 hours with a standard deviation of 6 hours. The manufacturer…

A:

Q: 31.The National Center for Health Statistics reports that the mean systolic blood pressure for males…

A: As the population standard deviation is not known, we will use the z test. As it is required to test…

Q: What is the standard deviation of the data set 14,23,9,12,21,18,8

A:

Q: Suppose the mean height in inches of all 9th grade students at one high school is estimated.

A: Population standard deviation, σ =3 inches Sample size n=6

Q: 4.) Determine the range and standard deviation of 60, 58, 62, 67, 48, 51, 72, 70

A:

Q: An airline charges $25 for the first bag, $35 for the second bag 54% have no checked baggage,  34%…

A:

Q: At a supermarket, the mean waiting time to get to the checkout counter is 5 minutes and the standard…

A:

Q: Find the standard deviation. Round to one more place than the data. 6, 20, 18, 9, 15, 20, 18, 20, 8

A: We first find the mean by adding all the values and then dividing by the total number of elements.…

Q: What is the standard deviation of the following: 38, 36, 49, 36, 43, 35

A:

Q: according to the US census bureau,the mean of the commute time to work for a resdient of…

A: It is an important part of statistics. It is widely used.

Q: A machine produces electrical components. 99.7% of the components have lengths between 1.176 cm and…

A: Given 99.7% components length lies between 1.176 and 1.224 m Using empericals rule we know that…

Q: What is the standard deviation of the following: 43, 22, 48, 17, 29, 43

A:

Q: A football coach claims that the average weight of all the opposing teams’ members is 210 pounds.…

A: Consider that μ is the true average weight of all the opposing teams’ members.

Q: c) What are the mean and standard deviation of the number of incorrect responses? (Give a reason)

A: Given:   Number of questions = 30 X = Number of correct responses Mean of X = 21 Standard deviation…

Q: 14) Find the score that separates the top 80% from the bottom 20% if the Mean is 100 and the…

A: Given information Mean (µ) = 100 Standard deviation (σ) = 26 The score that separates the top 80%…

Q: 1. Bob made 116 on his accounting midterm and 82 on his biology midterm. For the accounting midterm,…

A:

Q: Three high school basketball teams measured the heights of all of their basketball players: The…

A: From the provided information, Derby Dragons have a mean height of 72.0 inches that is (µ1) = 72.0…

Q: Skye High School has a total of 500 graduates.  The mean SAT score of Skye High School graduates is…

A: Given data,μ=947σ=205P(X≥1000)=?

Q: 1. Suppose 30 students were chosen randomly, what is the probability that their mean IQ score is…

A:

Q: The lengths of the songs available for download on a website are normally distributed, with a mean…

A: Given: μ=188 secondσ=24 secondX=170 second

Q: The mean annual wage per employee for each state and the District of Columbia for the year 2009 is…

A: The mean annual wage per employee for each state and the District of Columbia for the year 2009 is,…

Q: 1.) Ten friends scored the following marks in their end-of-year math exam: 23%, 37%, 45%, 49%, 56%,…

A: Given 10 friends score percentages 23,37,45,49,56,63,63,70,72,82.

Q: Eureka is a weather station in the state of California and Seabrook is a weather station in the…

A: Given information: Temperature recorded at Eureka was 240 Celsius. Temperature recorded at Seabrook…

Q: Suppose this average cost was based on a sample of 55 persons who had been involved in car crashes…

A:

Q: 6) A music industry professional claims that the average amount of money that an average teenager…

A: Given that  Hypothesized Population Mean (\mu)(μ) = 5050 Population Standard Deviation…

Q: 4. The results of a state-wide examination of the reading skills of sixth-grade students were…

A: For X, a random variable, the Z-score is, Z=X-μσwhere, μ=population mean             σ=population…

Q: What is the standard deviation of the following: 25, 36, 33, 16, 45, 44

A: Measures of Dispersion: The word dispersion is used to denote the degree of heterogeneity in the…

Q: Below are the jersey numbers of 12 players randomly selected from a football team. Find the​…

A: Ans: Given data  88, 14, 29, 97, 84, 24, 12, 19, 16, 52, 83, 16.         Find the​ standard…

Q: c. Analyzing delivery records for 18 customers from "Jalwa" tailoring company, you found their mean…

A: Hypothesis test used estimate whether there is any mean significant difference between the sample…

Q: The mean IQ of 200,000 current and past University of Manitoba students has been found to be 81.9.…

A: Given: Population mean μ=81.9 Population standard deviation σ=13.1 Number of people in 2016 = 29987…

Q: Tallest and Shortest Men The tallest living man at the time of this writing is Sultan Kosen, who has…

A: Given dataHeight of tallest living man Sultan Kosen = 251 cmHeight of shortest living man Chandra…

Q: Find the mean and standard deviation of the following numbers:  35,18,12,32,35,75,32,26,18

A: Obtain the value of the mean. The value of the mean is obtained below: Mean: From the information,…

Q: Seven millionaires with an average net wealth of $47 million with a standard Deviation of $10…

A: Solution: Let X be the net wealth. From the given information, x-bar=$47 million, S=$10 and n=7.

Q: he mean finish time for a yearly amateur auto race was 185.92 minutes with a standard deviation of…

A: From the given information we find the z score and compare.

Q: A city took a survey of 1,550 households to find out how many televisions each owned. The mean was…

A: The margin of error helps in determining the fall of the sample mean within the decided range of the…

Q: Find the standard deviation for the group of data items (to the nearest hundredth)8,9,10,11,12

A:

Q: What is the standard deviation of the following: 44, 30, 11, 29, 33, 4

A: Given data, 44, 30, 11, 29, 33, 4   Mean is  ∑xn=1516=25.167

Q: 16. Determine the mean number of books sold in an hour at that local book store. 17. Find the…

A:

Q: Use technology to solve the following problem: the lifetime of a certain Tyler of automobile tire…

A:

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.