The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 49 ounces and a standard deviation of 9 ounces. Use the Empirical Rule and a sketch of the normal distribution in order to answer these questions. a) 95% of the widget weights lie between  and  b) What percentage of the widget weights lie between 40 and 67 ounces?  % c) What percentage of the widget weights lie below 76 ?  %

Q: The income distribution of officers of a certain company was found to follow normal distribution.…

A:

Q: A marketing researcher for a phone company surveys 70 people and finds that the proportion of…

A: Solution: a. From the given information, the proportion of customers who are likely to switch…

Q: According to the Empirical Rule, the percentage of observations in a data set (providing that the…

A:

Q: Consider the data of a businessman that accumulates the daily sales of his restaurant business…

A: The data of the daily sales of restaurant for the 10 day is given as: 18,500  23,600  21,210…

Q: A random sample of 12-ounce milkshakes from 11 fast-food restaurants had the following number of…

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we…

Q: Under what conditions can the mean of the sample be treated as a value that is from a population…

A: From the above data  under what conditions can the mean of the sample be treated as a value that is…

Q: The bookstore at IRSC would like to estimate the proportion of students who prefer electronic…

A: For the given data Find 96% Confidence interval

Q: The weights of items from a manufacturing process follow a normal distribution with mean 90 grams…

A:

Q: he mean SAT verbal score is 448, with a standard deviation of 95. Use the empirical rule to…

A:

Q: If the average grade on an exam was 75% and the standard deviation was 4%, what would the three uper…

A: Empirical rule has  Upper limit  Mu +K. sigma

Q: According to a survey by Harris Interactive conducted in February 2009 for the charitable agency…

A:

Q: A trucking company determined that the distance traveled per truck per year is normally distributed,…

A: Here, mean is 60 thousand and standard deviation is 10 thousand. a. The proportion of trucks can be…

Q: Given that the mean for a data set is 24.8 and the standard deviation is 2.3, find the z-score of…

A:

Q: Refer to the accompanying data set and use the 25 home voltage measurements to construct a frequency…

A: The data set of 25 measurement of voltage is given. To construct a five class frequency…

Q: The systolic blood pressure of 18-year-old women is a roughly bell-shaped distribution with a mean…

A: We have given that.   X~N( μ , ?^2 )   μ =120 , ? =12   Z-score =( x - μ )/?

Q: c. Find P(X>40).

A: Let X denote the automobile mileage ratings. Given that X follows N(mean = 37, SD = 1.4), then Z =…

Q: According to a government study, among adults in the 25- to 34-year age group, the mean amount spent…

A: Given : The mean amount spent per year on reading and entertainment is $1,994. Assume that the…

Q: c) For the normal distribution of burning times of electric light bulbs, with a mean equal to 1200…

A: Since you have posted multiple subparts , we will solve first three subparts  for you. To get the…

Q: The tensile strength of paper is modeled by a normal distribution with a mean of 36 pounds per…

A:

Q: The annual commissilons per salesperson employed by a retailer of mobile communication devices…

A: Let X be the random variable from normal distribution with mean (μ) = $ 41200 ans standard deviation…

Q: throughout America and decides to focus on the height data, given in meters, which are repro…

A: Given data :  Height of skyscrapers ( meters) 107.5 108.2 133.6 151.4 155.8 149…

Q: Which of the following statements is true regarding of the value that corresponds to the decile 6 of…

A:

Q: 75 percent of persons taking a certain professional certification exam pass. Consider, for a samples…

A: The random variable X follows binomial distribution. The proportion value is 0.75. The sample size…

Q: which value of л would it be safe to assume the sampling distribution of Y is approximately normal?

A: here given ,  n=100

Q: Assume that the distribution of scores on a college entrance exam is normal, with a mean of 500 and…

A: We have to find z score and from z table probability.

Q: Consider a test of coordination that has a normal distribution, a mean of 60 and a standard…

A:

Q: The weights (in pounds) of seven shipments ofbolts are 37 45 11 51 13 48 61 Make a normal-scores…

A: The weights given are n = 7

Q: The towing capacities (in pounds) of 25 four-wheel drive pickup trucks have a bell-shaped…

A: From the given information, we have mean = 11830 Standard deviation = 2370 We have to find the…

Q: Is the statement below true or false? The distribution of the sample mean, x, will be normally…

A: Here  For sampling Distribution  As per Central limit theorem the Distribution of sample mean will…

Q: The mean score of a competency test is 66, with a standard deviation of 5. Use the empirical rule to…

A:

Q: Is the statement below true or false? The distribution of the sample mean, x, will be normally dist…

A: The distribution of the sample​ mean,  x̄, will be normally distributed if the sample is obtained…

Q: Which of the following statenments stated below is precisely correct/true? OA The standardized…

A:

Q: For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of…

A: The random variable X follows normal distribution with mean 50 and standard deviation 10. The…

Q: 1. Assume the speed of vehicles along an open stretch of a certain highway in Texas that is not…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Under what conditions are boxplots useful for identifying the shape of a distribution? f) Regarding…

A: From the given information we find the solution.

Q: For a random sample of 500 students aged 15-17 in the United States, the numbers of hours a week…

A:

Q: Assume that the distribution of a college entrance exam is normal with a mean of 500 and a standard…

A: Consider the equation

Q: The contents of a random sample of 10 lubricant containers were recorded as follows: 10.2, 9.7,…

A: From the given information we conduct t test for one mean.

Q: On a construction site, the amount of dirt scooped by a forklift machine is normally distributed…

A:

Q: 2.In the mid-19thcentury, Sir Francis Galton demonstrated, through extensive data collection, that…

A:

Q: Given the matched-pairs below, compute the mean and standard deviation for X Y. X 14.1 13.6 15.8…

A:

Q: The weights of 60 females in a physical education class are normally distributed with a mean of 135…

A: We want to tell you which one is the correct choice.

Q: The mean score of a competency test is 70, with a standard deviation of 6. Use the empirical rule to…

A:

Q: If the mean speed for a major league fast ball is 90 miles per hour and the standard deviation is 5…

A: Given Information: Mean = 90  Standard deviation = 5 Standardized score for a pitch that is 97 miles…

Q: Consider a normal distribution curve where 70-th percentile is at 11 and the 30-th percentile is at…

A: Given 70-th percentile is at 11, then…

Q: The mean length of a human pregnancy is 269 days, with a standard deviation of 10 days. Use the…

A: According to empirical rule.

Q: Given a normal distribution with mean of 80 and standa assumes a value greater than 76 is 0.3085.

A:

Q: Which of the following answers best describes ways of interpreting and understanding the values of…

A:

Q: The mean score of a competency test is 72, with a standard deviation of 5. Use the empirical rule to…

A: Empirical Rule: 68% of the values lies within one standard deviation from the mean. 95% of the…

Q: Assume that the distribution of scores on a college entrance exam is normal, with a mean of 500 and…

A: As per guideline expert have to answer first 3 subparts only.

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.