rersonal best finishing times for a particular race in high school track meets are ormally distributed with mean 24.6 seconds and standard deviation .64 seconds. the qualifying time for this event for the regional championship is set so that the to 15 percent of all runners qualify, then that qualifying time in seconds is about: O 23.9 O25.6

Q: The town of Butler, Nebraska, decided to give a teacher-competency exam and defined the passing…

A: Here we have to explain the given statement

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: The HR team collects the age of the staff of three departments and found the mean age of each…

A:

Q: Subject 1st 2nd #1 10 11 #2 4 6 #3 7 9 #4 6 5   a. Calculate the mean difference. b. Calculate SS…

A:

Q: John's utility bill for the last 5 months are $21.87, $21.98, $19.91, $26.39, and $29.51. Find…

A:

Q: Find the mean and standard deviation for the following:…

A: a)Mean: The Mean is 1.41

Q: A teacher found that the mean number of hours her 12 students spent studying for an AP Statistics…

A: old mean for 12 students = 6.7 sum of 12 students = 6.7*12 = 80.4

Q: Felix has just received his monthly credit card statement. He placed 8 charges on his card in the…

A: Given: 7 Charges 23.63, 20.59, 21.21, 26.85, 24.84, 15.36, 23.60

Q: a. n=2 ∑ni=1xi=20. The mean is b. n=4 ∑ni=1xi=80 The mean is

A: It is given that,Part a) Part b) To find the mean value in both cases.

Q: Compute the standard error of the mean from the following scores; 45, 34, 65, 47, 15, 25 Round your…

A: Given data: scores; 45, 34, 65, 47, 15, 25 To find: standard error of the mean

Q: On his 5 tests, Ahmad earned a total of 450 points. What was his mean number of points earned per…

A: The objective of this question is to find the mean number of points Ahmad earned per test. The mean…

Q: A math dasses at a North Toronto high school took a quiz. The grades for the 9 students in the class…

A: We have given that the data in table form. We can write this data in discrete form as: 3, 5, 5, 5,…

Q: Find deviation dete the mean, ond stendors of the follouip 130, 15 2, 137,139,116,153

A:

Q: The swim instructor's class wanted to have a competition to see who could hold the their breadth the…

A: The swim instructor timed all swimmers and wrote down their times in seconds as follows:…

Q: 9. The principal at a local high school asked 100 randomly selected students how many minutes they…

A: 9) Statistic: The value which is calculated from the sample values is named as statistic. Parameter:…

Q: Find the Mean and Standard Deviation for the prompts below: A survey found that 21% of Americans…

A: Binomial Distribution :  A binomial distribution is a specific probability distribution. It is used…

Q: USE A CALCULATOR  In the 1992 presidential election, Alaska’s 40 election districts averaged 1,956.8…

A: Hey, since there are multiple subpart questions posted, we will answer first three subpart…

Q: Compute the standard error of the mean from the following scores; 45, 34, 65, 14, 15, 25 Round your…

A: Given data: 45, 34, 65, 14, 15, 25 n = 6 To calculate: Compute the standard error of the mean

Q: A sample of nine tourists indicated how much they spent on accommodation per night (in dollars) at a…

A: The given data is as follows:313.6, 151.6, 598.5, 222.7, 293.9, 272.6, 198.5, 382.0, 188.7

Q: Researchers wanted to know if living in schools protects minnows from predators. The researchers…

A: Given information- We have given the data of the researchers placed different numbers of minnows…

Q: There were 34 females that weighed over 250 pounds. What percent of females aged 20 to 29 weighed…

A: Given data,  N~(161.61,48.95)  i.e., μ=161.61σ=48.95   If n=34 P(X>250)=?

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

A:

Q: Find the mean and standard deviation of the filling numbers:  30,25,10,30,45,60,30,25,20

A: Mean of the filling numbers is Mean=sum of the all numbers /no  of  given observation Mean…

Q: Give two sets of five numbers that have the same standard deviation but different means. Oset1: 2,…

A:

Q: Of the 200 American film enthusiasts, the average age is: 30 years, while the standard deviation is…

A: The normal distribution in the center is generally denser and basically less dense at tails. There…

Q: Find the five-number summary for the following 10 values: 22, 22, 25, 19, 35, 29, 28, 19, 32, 27…

A:

Q: What type of distribution is this : you measure the GPA of every student in a high school to the…

A: For Normal distribution, the mean, median and mode are same. Also, the normal curve is symmetric to…

Q: Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of…

A: It is given that the mean is 74,000 and the tires warranty is 65,000 years.

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!