Scientists discovered a new group of proteins in an animal species. They found that the distribution of the number of amino acids these proteins were made of was approximately Normal with mean 530 and standard deviation 80. About what percent of these new proteins will be between 370 and 690 amino acids long? 68% 99.7%

Q: In a multiple-choice examination in Chemistry, students Mae and Julie received scores of 82 and 65,…

A: We have given that.   X~N( μ , ?^2 )   μ = , ? =   Z-score =( x - μ )/?

Q: Would a person spending $476 on their car be considered usual or unusual if the amount spent by the…

A: Given information- Population mean µ = $347 Population standard deviation, σ = $39.58 Let, X be the…

Q: According to the Empirical rules rule, if there are 500 observations in a mound shaped data set the…

A: The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical…

Q: Find the mean and standard deviation for the numbers of sleepwalkers in groups of five.

A: Given: X P(x) 0 0.175 1 0.357 2 0.318 3 0.118 4 0.028 5 0.004

Q: On a math exam, Joel had a score o 90, which was exactly 2 standard deviations above the mean. The…

A: Since, we only do up to three sub parts of a problem, we'll be doing the first three sub parts only.…

Q: Twenty-nine percent of adult Internet users have purchased products or services online. For a random…

A: It is given that 29% of the users purchase online. Therefore, probability of a randomly selected…

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: The We Go Farther Tire Company advertises a tire that lasts for 80,000 miles. The mileage for the…

A:

Q: According to Chebyshev's rule, within 10 standard deviations from the mean, lies at least of any…

A: Given Information: According to Chebyshev's rule, within 10 standard deviations from the mean, lies…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: Given that a set of scores have a normal distribution, a mean of 74, and a standard deviation of 5:…

A:

Q: A sociologist found that in a sample of 50 retired men, the average number of jobs they had during…

A: Given that  Sample size=50 , Mean=6.9 Population Standard deviation=2.3

Q: The time spent by a teacher at work in the holidays is normally distributed with a mean of 20 hours…

A: Given: Mean = 20 Standard deviation = 5

Q: After examining a child at his​ 2-year checkup, the​ boy's pediatrician said that the​ z-score for…

A: The z score is given by Z = 1.31

Q: a. If PO1 Dela Cruz's waist girth is 32, how many standard deviations away is he from the mean? b.…

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

Q: The Good-Guys Car Dealership has tracked the number of used cars sold at its downtown dealership.…

A:

Q: Suppose you were told you scored two standard deviation below the mean on a measure where the main…

A:

Q: Given the mean of a normally distributed data set is 25, with  standard deviation of 5, what percent…

A: We will standardize the normal variable and then use standard Normal table to find the required.

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 Pittsburgh, Pennsylvania, about 56% of the days in a year are cloudy. Find the mean, variance,…

A: Given, In a year 56% of days are cloudy. Now during June month 30 days. Each day is independent of…

Q: A standardized memory test has a mean of μ=100 and a standard deviation of σ = 10. Answer the…

A: (c )   Obtain the scores that separate the middle 28%. The scores that separate the middle 28% is…

Q: A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric…

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: In a study of Ridge View's boys' basketball team, the average height is 68 inches and standard…

A: Given, mean =μ=68Standard deviation = 4x = 78

Q: Ashley and Delaney began arguing about who did better on their tests, but they couldn't decide who…

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: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: Let X be a test score. Then, X ~N(78,112). Then, X~N(78,112)⇒Z=X-7811~N(0,1) a.) P[ Test score is…

Q: The college physical education department offered an advanced first aid course last semester. The…

A: Given Information: The scores on the comprehensive final exam were normally distributed, and the  z…

Q: 2. In a departmental examination on statistics, the mean grade was 64 and the standard deviation was…

A: Determine the number of students took the examinations.   The number of students took the…

Q: 1. A biologist found the wingspan of a group of monarch butterflies to be normally distributed, with…

A: Given: Mean= 52.2mm Standard deviation=2.3mm. We standard normal deviation.

Q: The heights of women have a symmetric distribution with a mean of 66 inches and a standard deviation…

A: Given dataMean = 66 inchesStandard deviation =2.5 inchesApplying empirical formula68% of data falls…

Q: In Pittsburgh, PA, about 56% of the days are cloudy. June, which has 30 days, is to be considered.…

A: Hey there! Thanks for posting the question. Your question has more than three sub-parts. However, we…

Q: Mark was asked, "To what extent are you a Math person?" He rated himselfa 6 on a 7-point scale.…

A: Here use z score for  determining the statement correct or not

Q: In a recent study on world​ happiness, participants were asked to evaluate their current lives on a…

A: Let the random variable X denotes the responses of participants who were asked to evaluate their…

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: Is is unusual for someone to run a 4 minute mile if the mean time is 10.2 minutes and the standard…

A: From the provided information, Mean (µ) = 10.2 Standard deviation (σ) = 2.9 X~N (10.2, 2.9)

Q: The percentage of observations that are contained within 3 standard deviations of the mean is O a.…

A: As per the empirical rule for normal distribution, 68%, 95%, and 99.7% of the values lie within one,…

Q: A college professor noted that the grades of his students in an introductory statistics class were…

A: Given that, Mean = 52.50 Standard deviation = 9

Q: A student scored 76 on a general science test where the class mean and standard deviation were 82…

A: For Science x¯=82s=8x=76 z=x-x¯s=76-828=-0.75

Q: An instructor claims that the average number of hours needed to study for a final exam in order to…

A: The significance test for single mean is tested using the z test, if the population standard…

Q: Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout.…

A: Given information Hypothesized mean µ = 19 inches Sample size (n) = 49 Mean x̅  = 18.5 inches…

Q: If the mean height of a full-grown Wookie is 83 inches with a standard deviation of 4 inches, what…

A: Mean=83 Standard deviation =4 Z score =? For x=88

Q: Is a measure of 24 inches "far away from a mean of 15 inches? As someone with knowledge of…

A: Given that  We have to find  a.. measure of 24 inches far away from mean of 15 inches  b .Is 24…

Q: In a recent study on world​ happiness, participants were asked to evaluate their current lives on a…

A: Solution To find percentile we will use percentile in excel.

Q: 3. In the qualifying examination for the admittance to college, the mean score was 65 and the…

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

Q: A researcher in Des Moines, Iowa sampled 56 households and found the mean number of puppies per…

A: # sample size n=56  population mean mu=3.03  standard deviations=1.5  then to find 62nd percentile…

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: A study of commuting times reports the travel times to work of a random sample of 1068 employed…

A: Given data,  x = 54.0  s = 60.9 minutes n=1068 standard error of the mean=?

Q: there are 75 students in the class and 20 students are getting a+ grade in the class find the mean…

A:

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.