1A researcher collected the heights of male seniors at a high school. The data collected are normally distributed with a mean of 70.21 inches and a standard deviation of 1.35. What is the z-score of a high school senior who is 68 inches tall?

Q: At the shot put event the mean was a throw of 44.22 feet, with a standard deviation of 3.65 feet.…

A:

Q: The amount spent on textbooks for the fall term was recorded for a sample of five hundred university…

A: GivenMean(μ)=500standard deviation(σ)=100student textbook expenditure (x)=700

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: Use z scores to compare the given values. The tallest living man at one time had a height of 242 cm.…

A: Thus, the standard z-score for the tallest man is 10.51.

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

A: Solution

Q: The annual per capita consumption of bottled water was 30.2 gallons. Assume that the per capita…

A: Given information- Population mean, µ = 30.2 gallons Population standard deviation, σ = 13 gallons…

Q: Do men take less time than women to get out of bed in the morning? The 42 men observed averaged 7.6…

A: Given , n1=42 , n2 =52  x¯1=7.6 , x¯2 =9 s1=2.2 , s2 =2.1 The hypothesis will be stated as below  H0…

Q: The 2018 Math Portion of the SAT score are normally distributed with a mean of 527 and a standard…

A: Empirical Rule: If a population has bell shaped distribution with mean µ and standard deviation σ ;…

Q: The average hours of sleep on a weeknight was 6.9 hours with a standard deviation of 1.5 hours. What…

A: Introduction: Denote the random variable, Denote X as the number of hours of sleep on a weeknight.…

Q: The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17.…

A: GivenMean(μ)=120standard deviation(σ)=17

Q: The grade of OMG 321 was normally distributed with a mean of 81 and a standard deviation of 3.…

A: Let grade=X  X~N(μ=81, σ2=32) μ=81, σ=3 We want to find the P(X>80)= ?  Note: This probability…

Q: Steel rods are manufactured with a mean length of 27 centimeter​ (cm). Because of variability in the…

A: Given Data Population Mean,μ = 27.0 Population Standard Deviation,σ = 0.06

Q: Do men take less time than women to get out of bed in the morning? The 57 men observed averaged 4.7…

A:

Q: Which is better a score of 91 on a test with a mean of 81 and a standard deviation of 15, or a score…

A:

Q: Q4: A job placement director claims that the average starting salary for nurses is $24000. A sample…

A: According to the provided information,

Q: A grocery supplier believes that in a dozen eggs, the mean number of broken eggs is 0.5 with a…

A: Given : For a dozen of eggs :  E(X) = 0.5 SD(X) = 0.4

Q: The average number of acres burned by forest and range fires in a large New Mexico county is 4,300…

A: GivenMean(μ)=4300standard deviation(σ)=750

Q: The height of adult men in the United States is normally distributed with a mean of 70 inches and a…

A: Z = -0.67 Mu = 70 S = 3

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

A:

Q: A successful basketball player has a height of 6 feet 4​inches, or 193cm. Based on statistics from a…

A: The z-score identify that the value how many standard deviations from the mean. If the z-score is…

Q: n the first quarter of 2019, the average home loan for first time buyers was R950, 000. Assuming a…

A: Given : In the first quarter of 2019, the average home loan for first time buyers was R950, 000…

Q: When Lauren runs the 400 meter dash, her finishing times are normally distributed with a mean of 88…

A:

Q: Steel rods are manufactured with a mean length of 27 centimeter​ (cm). Because of variability in the…

A: Given,mean(μ)=27standard deviation(σ)=0.06

Q: A study at the University of Colorado at Boulder shows that running increases the percent resting…

A: Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Q: The wind speeds throughout the month of April were normally distributed with a mean of 17 mph and a…

A: We have given that  X~N(mu,sigma ^2) mu=17,sigma =4 Z-socre =(x-mu)/sigma

Q: The mean test score for a history test is 63 with a standard deviation of 9. The mean test score for…

A: It is given that the mean test score and standard deviation for history test are 63 and 9, the mean…

Q: A study at school showed that the mean number of students in a class was 20 with a standard…

A: Given mean number is 20 = m Given standard deviation is 7 = sd Given student number is 24 = x We…

Q: The heights of a population of adult male red kangaroos are approximately normally distributed with…

A: Given : The heights of a population of adult male grey kangaroos are approximately normally…

Q: Which is better a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a score…

A:

Q: A forest ranger researching ecosystem recovery following forest fires collected data on a large…

A: Given that Mean = 3.2 feet Standard deviation = 0.6 feet

Q: 1. In the past, patrons of a cinema complex have spent an average of $5.25 for popcorn and other…

A:

Q: Which is better a score of 95 on a test with a mean of 70 and a standard deviation of 15, or a score…

A:

Q: The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine…

A: The population standard deviation is 92 hours.

Q: to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.9 inches. Who is relatively…

A:

Q: brazil spends 6.24% of its GDP on education, calculate the z-score for brazil. miu = 4.8% and the…

A: It is given that Mean = 4.8 SD = 1.66 And value X = 6.24

Q: John scored 60 in a quiz in Math for which the average score of the class was 50 with a standard…

A: Z score is given by where, X is score is mean  is standard deviation

Q: A small grocery store, on average, has daily sales of Php28, 176.44. The standard deviation of sales…

A: Solution: Let X be the daily sales. From the given information, µ = Php 28,176.44 and σ = Php 1500.

Q: The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a…

A:

Q: A successful basketball player has a height of 6 feet 77​inches, or 201201 cm. Based on statistics…

A: Given information- Height of a player = 201 cm Z-score = 3.743 We know that standard height is given…

Q: A group of friends compares what they received while trick or treating. They find that the average…

A: Solution: Let X be the number of candies. From the given information, µ=43, σ= 2 and z-score is…

Q: stributed with a mean of 100 and a standard deviation of 16. Find the proportion of people in the…

A:

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

A:

Q: The time is takes a studen to walk from the dorn to the chemistry lab follows roughly a Normal…

A: Mean(µ) = 20 Standard deviations (σ) = 3 X ~ N (µ, σ )= N ( 20, 3)

Q: The mear was 80 and the Standard deviation was 4, Kawhi scored 5, 8o his z-Score was more than one…

A:

Q: 2. Alfred scored 82 in a quiz in English for which the average score of the class was 75 with a…

A: GivenAlfred scored 82 in a quiz in english with Mean(μ)=75standard deviation(σ)=10score 70 in a quiz…

Q: A man was out shopping buying 100 watermelons. He wanted to buy the largest fruit so he calculated…

A: We have to find out given probability..... As per guideline expert have to find out given first…

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: Use z scores to compare the given values.   The tallest living man at one time had a height of 245…

A: The z-score of a random variable X is defined as follows: z = (X – µ)/σ. Here, µ and σ are the mean…

Q: The proportion of all high school students who watch national news is p = 0.57. A random sample of…

A: Solution: Given information: n= 60 Sample size  p = 0.57 Population proportion

Q: Which is better and corresponds to the higher relative position, a score of 92 on a test with a mean…

A: Solution:From the given information, score of 92 on a test with standard deviation of 15 and mean of…

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.