When Lauren runs the 400 meter dash, her finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2 seconds. If Lauren were to run 42 practice trials of the 400 meter dash, how many of those trials would be between 83 and 84 seconds, to the nearest whole number?

Q: On a statistics exam, the mean score was 80 and there was a standard deviation of 7. If a student's…

A: Given data, μ=80σ=7If x=92z=?

Q: If the variance of the recorded weights of nine basketball players is 2.36, what is the value of the…

A:

Q: If a sample has a mean of 100 and a standard deviation of 6, what is the value in the data set that…

A:

Q: A group of students wrote an entrance Math exam and the scores were normally distributed. The mean…

A: The scores were normally distributed with mean 750 and standard deviation 95 μ=750σ=95 Z-score is…

Q: The mean for a data set is 75, the standard deviation is 4, and the z score is -0.19, what is the…

A: We have given that,  From the normal distribution with mean (mu) = 75 and standard deviation (sigma)…

Q: The speeds of all cars on the tollway was found to be normally distributed with a mean of 63 miles…

A: It is given that that µ=63 mile per hour. Obtain the standard deviation of the speeds of all cars:

Q: If the average mid twenties male weighs 169lbs. and a weight of 150 is in the 31st. percentile, what…

A: We are given,Mean = μ = 169X = 150Percentile = 31st

Q: The average time it takes a certain brand of ibuprofen to start working is 25 minutes, with a…

A: The mean of the sampling distribution of the sample mean is represented as and is given by

Q: The heights of men, in centimetres, are normally distributed with a mean of 175 and a standard…

A:

Q: A history class has 95 members. If there is a 22% absentee rate per class meeting , find the mean…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days…

A: From the given Information, Let X represent the length of pregnancies in a small rural village and…

Q: Students at Arrowhead High School took a Math test with a mean of 120 and a standard deviation of…

A: Let X be the random variable of normal distribution with mean 120 and standard deviation 25 Let Z be…

Q: The mean grade of adrian in the final examination in mathematics was 85 and the standard deviation…

A: The mean of a dataset is computed by μ=∑xn, where ∑x is sum of observations and n is the total…

Q: In 2019, the amount of money that motorists spent on gas had a normal distribution with a mean of…

A: Given Information Number of persons sampled (n) = 2400 Mean (µ) = 900 Standard deviation(σ) = 100…

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: The average time it takes a certain brand of ibuprofen to start working is 25 minutes, with a…

A: Given Information :  The average time it takes a certain brand of ibuprofen to start working is 25…

Q: The final grades in a math class has a mean of 77 and a standard deviation of 9.77 if the professor…

A: Here we need to find the cutoff for A grade. Given that the top 10% are given A. We assume that the…

Q: A college entrance exam scores are approximately normally distributed with a mean value of 145 and a…

A: Solution: Let X be the college entrance exam score. From the given information, X follows normal…

Q: The year Deon graduated college, he got a job as an entry-level software engineer working for a firm…

A:

Q: A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from…

A:

Q: If a sample has a mean of 48 and a standard deviation of 3.2, what is the value in the set that…

A:

Q: A line for tickets to a broadway show had a mean waiting time of 20 minutes with a statistic…

A: Given: Mean,  μ=20 Standard deviation, σ=5 Sample size, n= 200 Use normal approximation here, the…

Q: An incoming freshman took her college’s placement exams in French and mathematics. In French, she…

A:

Q: In a Science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A: Given: The mean score of a Science test is μ=42. The standard deviation is σ=5. Let X be a random…

Q: The amount of time a certain brand of light bulb lasts is normally distribued with a mean of 1500…

A:

Q: For a social club, the members had a mean age of 68 and a standard deviation of 10 years.  What is…

A: The mean is 68 and the standard deviation is 10.

Q: A company pays their employees an average of $52,500 per year. If the standard deviation for the…

A: Given : A company pays their employees an average of $52,500 per year. If the standard deviation for…

Q: If the average salary of a computer programmer is $71, 800 with a standard deviation of 13, 000,…

A: I am attaching image so that you understand each and every step.

Q: If the standard error,  of a sample data set is 5 and the standard deviation,  of the distribution…

A: For a population with mean µ  and standard deviation σ, the standard error is σx̅ = σ/√n, where x̅…

Q: Suppose that the heights of 4-year old boys are normally distributed with a mean of 103cm and a…

A: Let X be the random variable from normal distribution with mean (μ) = 103 cm and standard deviation…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days…

A: Let X be the lengths of pregnancies in a small rural village x¯=262sd=16 X~ Normal (262, 162)   For…

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 71…

A: Solution: Let X be the height of the student boy. From the given information, X follows normal…

Q: A popcorn company find that their 1kg bags have a mean of 985 grams with a standard deviation of 24…

A:

Q: The mean grade of in the final examination in Mathematics was 85 and the standard deviation was 7.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2.5% Of scores on a normally distributed college entrance test or below 60% and 2.5% of the scores…

A:

Q: The heights of people are normally distributed with a mean of 86 inches and a standard deviation of…

A: X follows a Normal distribution with mean = 86 and S.D = 5 Then z=(x-mean)/SD = (x-86)/5  follows…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days…

A:

Q: If the average height of all women is 63.5 inches and the standard deviation is 2.5 inches,…

A:

Q: A biologist found the wingspans of a group of monarch butterflies to be normally distributed, with a…

A: Given,Mean (μ) = 52.2Standard deviation (σ) = 2.3a) Required probability is…

Q: If your score on your next statistics test is converted to a z-score, which of these 2- scores would…

A: Given: Z-scores: -2, -1, 0, 1, 2. The height converts to the z score is=4.07

Q: The daily sales at a convenience store have a mean of $1280 and a standard deviation of

A: As given, the daily sales at a convenience store have a mean of $1280 and a standard deviation of…

Q: Jessica, the owner of a medium-scale native handicrafts shop, knows from experience that the time…

A:

Q: A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics…

A:

Q: If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12,…

A: It is given that the mean is 70 and the standard deviation is 12.

Q: In a multiple-choice examination in Chemistry, students Mikasa and Jean received scores of 82 and…

A: Given problem Given that   In a multiple-choice examination in Chemistry, students Mikasa and Jean…

Q: The mean height of male college students in a large city is 68 inches and the standard deviation is…

A: Answer:----.                       Date:----10/10/2021

Q: A successful basketball player has a height of 6 feet 3 ​inches, or 191 cm. Based on statistics from…

A: Given,a basketball player has a height of 6 feet 3 inchesand the Z-score =2.31

Q: The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test…

A: Given distribution is bell shaped. In bell shaped distribution mean, median and mode are equal.…

Q: A statistics professor announces that 15% of the grades he gives are As.  The results of the final…

A: Solution:From the given information, mean score is 83, standard deviation is 6. The fifteen…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.