A recent survey found that 72% of all adults over 50 own cell phones. You randomly select 43 adults over 50, and ask if he or she owns a cell phone. Decide whether you can use the normal distribution to approximate the binomial distribution. If so, find the mean and standard deviation, If not, explain why. Round to the nearest hundredth when necessary.

Q: On a test that has a normal distribution, a score of 66 falls three standard deviations above the…

A: Given 66 falls 3sd above mean and 60 falls 1sd above mean

Q: Experience has shown that the value of orders placed by customers of Makro is normally distributed,…

A: Obtain the probability that the mean value of the orders in the sample is less than R 1045.   The…

Q: The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15…

A:

Q: In a normal distribution, find the mean if the standard deviation is 100, and 70.19% of the total…

A: Given that the standard deviation is 100 and 70.19% of the total area lies to the right of 500. That…

Q: The time it takes a student to walk from the dorm to the chemistry lab follows roughly a Normal…

A: Let X be the time it takes a student to walk from the dorm to the chemistry lab which follows normal…

Q: A parent is hopeful that their son will score in the top 15% of a. dance competition. What score…

A: We have given that, The mean of the distribution is 28 and the standard deviation is 6.   Z-score =…

Q: Use the "Statistics" function of your calculator to find the mean and standard deviation for the…

A: Given : Data represents the heights of teen adults (in inches) .  It's mean and standard deviation…

Q: In a distribution exactly normal, 7% of the items are under 35 and 89% are under 63. What are the…

A:

Q: find the z-score for the value 69, when the mean is 96 and the standard deviation is 5.

A:

Q: For a binomial distribution, the mean is 6 and the standard deviation is 2. Write out all the terms…

A:

Q: find the z-score for the value 95, when the mean is 77 and the standard deviation is 2.

A: Given, mean=77 standard deviation=2 find the z-score for the value 95

Q: In a normal distribution, 11% of the items are under 35 and 76% are under 83. Find the mean and…

A:

Q: A marketing researcher for a phone company surveys 176 people and finds that the proportion of…

A: From the provided information, Sample size (n) = 176 Proportion (p) = 0.11

Q: For a normal distribution, find the z-score that separates the highest 30% from the rest of the…

A: Given that P(z>z)=30%=0.3 P(z>z)+P(z<z)=1 P(z<z)=1-0.3=0.7 P(z<z)=0.7 From the Z…

Q: Full time Ph.D. students receive an average of $13,537 per year. If the average salaries are…

A: Introduction: Define X as the random variable of interest here, which denotes the salary of the…

Q: A certain video game has 72% chance of sucess. During summer vacation a person plays 12 games a day.…

A: In question, Given that A certain video game has 72% chance of sucess. During summer vacation a…

Q: For a measure of  body weight, converted to z or standard scores, what is the probability of having…

A: Solution For standard normal distribution, Mean=0  & standard deviation = 1. Find:

Q: Male Data in inches 68 67.7 65.5 68.1 72.5 65.4 71.2 67.7 62.5 73.5 65.1 65.3 65.5 72 73.2 77.2 70.5…

A: Note: Since you have posted questions with multiple subparts we will solve the first three questions…

Q: A psychologist knows from past research that the personality trait neuroticism is approximately…

A: 0given Mean=20 Standard deviation=4

Q: A banks loan officer rates application for credit. The ratings are normally distributed with a mean…

A:

Q: A normal distribution curve has an egg shape when plotted. O True O False

A: Normal Distribution Curve The normal distribution is a symmetrical distribution function on both…

Q: The College Board National Office recently reported that in 2011–2012, the 547,038 high school…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Peter collected data to find that the finishing times for cyclists in a race has a normal…

A: 68-95-99.7-rule: Let X be an observation from a normal distribution, having mean µ and standard…

Q: Find the standard deviation, σ, for the binomial distribution which has n = 48 and p = 3/5. Round…

A: Given: n = 48 p=35

Q: A senior high student commutes daily from home to school. The average time for a one way trip is 20…

A: Given that, μ=20 minutesσ=4 minutes The no.of minutes is the starting point of the longest 10% of…

Q: Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly…

A: Given Population mean μ=137, population standard deviations σ=69, Let X be the rain in Sydney Note:…

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: Hello, how do you calculate this? Thank You!

A: Compute the 90% confidence interval for the population mean.Since the sample size is small and the…

Q: Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard…

A: Given:  Let n represents the number of students in the class (n=100). Let p represents the…

Q: A physical fitness association is including the mile run in its secondary-school fitness test. The…

A:

Q: In a normal distribution, 31% of the items are under 45 and 8% are over 64. Find the mean and the…

A: Given Data: Let X represent the variable P(x<45)=0.31 P(x>64)=0.08   X~ Normal μ, σ2   To…

Q: makes a distribution a normal distribution?

A: Properties of normal distribution  a) The mean , median and mode of a distribution is same it is…

Q: According to the Centers of Disease Control and Prevention (CDC), the aging of the U.S. population…

A: GivenAn average person makes four visits a year to doctor's offices and hospitalsλ=412        i.e.,…

Q: The probability is 5​% that a student taking the test scores higher than

A: Let X denote the scores of final examination in an introductory statistics course. Given that X…

Q: you know the time it takes for college students to find a space in the parking lot near the library.…

A: Provided data is, the time taken for college students to find a space in the parking lot near the…

Q: The time it takes for acrylic paint to dry follows a normal distribution. If the mean is 2 hours and…

A: Solution: Let X be the time it takes for acrylic paint to dry. From the given information, X follows…

Q: In a normal distribution, find the proportion of the population within three fifths of a standard…

A: We have to find out given proportion..

Q: A class has an equal number of boys and girls. The boys all got 78% on a test and the girls all got…

A: From the provided information, Boys got 78% on a test and girls got 84%. Let n = number of girls =…

Q: Given a normal distribution whose mean is 590 and whose standard deviation is 74, find the…

A: Given that  X~Normal(μ= 590 , σ= 74 )  μ= 590 , σ= 74 , n = 24

Q: ne Energizer Company claims that the life of oproximately normally distributed with a mean lengt hen…

A: (a) As the population standard deviation is known, it can be said that the distribution follows a…

Q: In a normal distribution, what z-score value separates the highest 90% of the scores from the rest…

A: Z  score : A z-score describes the position of a raw score in terms of its distance from the mean,…

Q: High school students across the nation compete in a financial capability challenge each year by…

A: Given: Students who score in the top 19 percent are recognized publicly for their achievement by the…

Q: The amount of soda in a randomly selected bottle varies according to a normal distribution with mean…

A: Let x be the amount of soda in a randomly selected bottle varies which follows normal distribution…

Q: In a normal distribution, it is found that the mean is 56 and the standard deviation is 5, Find the…

A: We want to find the range of the values

Q: Most graduate schools of business require applicants for admission to take the GMAT examination.…

A: Normal distribution is bell shaped distribution and it is centred at the mean of the distribution. A…

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: Suppose scores on an examination are normally distributed. If the examination scores have a mean 60%…

A:

Q: In the Standard Normal Distribution, what is the probability of getting a z-score between -.54 and…

A: We have given that a standard normal distribution with z-scores -0.54 and 1.68.

Q: Among third year students at AUM, scores in Probability and Statistics follow a normal distribution…

A: Given: Population mean  = 82 Population standard deviation = 4 Consider X be the random variable…

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.