The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped with a mean of 63 ounces and a standard deviation of 11 ounces. Using the Empirical Rule, answer the following questions. Suggestion: Sketch the distribution. a) 99.7% of the widget weights lie between 1 and b) What percentage of the widget weights lie between 41 and 96 ounces? c) What percentage of the widget weights lie below 74?

Question
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped with a mean of 63 ounces
and a standard deviation of 11 ounces. Using the Empirical Rule, answer the following questions. Suggestion: Sketch
the distribution.
a) 99.7% of the widget weights lie between 1
and
b) What percentage of the widget weights lie between 41 and 96 ounces?
c) What percentage of the widget weights lie below 74?
Expand
Transcribed Image Text

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped with a mean of 63 ounces and a standard deviation of 11 ounces. Using the Empirical Rule, answer the following questions. Suggestion: Sketch the distribution. a) 99.7% of the widget weights lie between 1 and b) What percentage of the widget weights lie between 41 and 96 ounces? c) What percentage of the widget weights lie below 74?

Expert Answer

1 Rating

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) sho...

A: given x represent the dollar amount spent on supermarket impulse buying in a 10-minute shopping inte...

Q: What does it mean when two variables are described as “positively correlated”?

A: In statistical analysis to measure the relation between two bivariate data, then if the change of a ...

Q: Find the probability of an event E if the odds for E is equal to the odds against

A: Odds of an event:The odds an event is given by the ratio of the probability of the event to its prob...

Q: Which statement regarding correlation is true? A. The dependent variable is assigned to the Y axi...

A: Correlation coefficient - r:The Karl Pearson’s product-moment correlation coefficient or simply, the...

Q: Assume that a populatio of thousands of people whose responses were used to develop the anxiety test...

A: Hey, since there multiple subparts posted, we will answer first three subparts. If you want any spec...

Q: Need (b) and (c) Let X denote the data transfer time (ms) in a grid computing system (the time requi...

A: (a)Finding the values of α and β :The random variable X represents the data transfer time in a grid ...

Q: I need help with understanding standard deviation.  How to calculate it from the mean?

A: The standard deviation describes the spread of the data distribution from the mean of the given data...

Q: Let z=a be a positive z score in a standard normal distribution. If the area under z>a is 0.4, th...

A: Standard normal distribution:A normal distribution with mean (µ) 0 and variance (σ2) 1 is called sta...

Q: The contingency table shows the distribution of a random sample of fatal pedestrian motor vehicle co...

A: a) The expected counts for each cell in the provided contingency table can be calculated by using th...

Q: Let z=a be a positive z-score in a standard normal distribution such that the area between z=-a and ...

A: Normal distribution:A random variable X is said to follow a normal distribution if the probability d...

Q: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote ...

A: (a) Level of significance for the test:Level of significance (α) defines the probability of rejectin...

Q: 9.3 Question is in the attached picture.

A: a. Identifying whether the linear combination are contrast:Contrast:A contrast is linear combination...

Q: A. A population has a mean of 6.9 and standard deviation of 2.6. Find the value that has 80% of the ...

A: Given Population mean = 6.9Standard deviation = 2.6The Z score with the area left to it close to 0.8...

Q: A researcher wants to investigate whether mindfulness training improves ability for employees to not...

A: In an experiment the factor is an explanatory varible which is manipulated by the experimenter. It i...

Q: In a fishing logde brochure, the lodge advertises that 75% of its guest catch northern pike over 20 ...

A: The provided information are:

Q: 13.) Seventy three percent of drivers carry jumper cables in their vehicles. For a random sample of ...

A: The probability that a driver carry jumper cables in the vehicle (p) is 0.73.Sample size (n) = 315Le...

Q: 1. A committee of eight people must choose a president, a vice president and a secretary. In how man...

A: Number of ways three positions can be chosen:When there are n items, the number of ways x items can ...

Q: The numbers of faculty at 32 randomly selected state-controlled colleges and universities with enrol...

A: Confidence interval:The (1-α) % confidence interval for population mean µ, when σ is known is given ...

Q: What happens to the variance when outliers are eliminated replaced by values closer to the mean

A: Introduction:Mean:Mean is an important measure of center when the data is quantitative. Mean of a da...

Q: (c) In 1997, the U.S. population was approximately 266,570,000 people. At the rate of 440 prisoners ...

A: Given number of prisoners for 100,000 population = 440Rate of prisoners = 440/100,000U S population ...

Q: This study investigated the cognitive effects of stimulant medication in children with Attention-Def...

A: Click to see the answer

Q: I asked this question before, and got an answer, but I have a question about the response that was g...

A: The formula that you shared from the text book is used for time-value-of-money calculations. Such a ...

Q: A, B, C

A: In this question we have given a data of 10 sample observation based on that data we have to find co...

Q: The following joint probability distribution summarize the doctoral degrees conferred in the social ...

A: In this question, a table has given to us which shows the joint probability distribution, based on w...

Q: M Asigmnt Ose ook St hx Ch S g The D x4 ttp/ww.asignnet/wbudentsignment-Responses/subithdep-21213790...

A: Box and whisker plot:A type of graph used to display patterns of quantitative data is called a boxpl...

Q: In a standard normal distribution, what is the area under the graph for z>0? Explain.

A: Normal distribution:A random variable X is said to follow a normal distribution if the probability d...

Q: Suppose that from the past experience a professor knows that the test score of a student taking his ...

A: If a random variable X has a distribution with mean µ and standard deviation σ, then the Z-score is ...

Q: Five children aged 2, 3, 5, 7 and 8 years old weigh 14, 20, 32, 42 and 44 kilograms respectively. Fi...

A: Let x be the age of children and y be the weight of children.The equation of the regression line is:

Q: Use the normal approximation to the binominal to approximate the probabilities. A gardener buys a pa...

A: Normal approximation to the binomial:If a random variable X ~ B(n, p) in which n is large and p is c...

Q: What’s the mean annual return of the S&P 400 Midcap Index over the past 7 years?  What’s the sta...

A: Hello there! there are more than three sub parts in the given question. According to our policies we...

Q: A hospital reported that the normal death rate for patients with extensive burns (more than 40% of s...

A:  (a) Level of significance:It is given that to test the claim that the mortality rate has dropped, l...

Q: What is needed to find a p value?

A: In hypothesis test we define the null hypothesis which is tested for possible rejection under the as...

Q: Total plasma volume is important in determining the required plasma component in blood replacement t...

A: Note:Hi! Thank you for posting the question. Since your question has more than 3 parts, we have solv...

Q: An advertising executive wants to determine if a new billboard placed in a city caused sales of thei...

A: Given that we need to test to determine if a new billboard played in a city caused sales of their pr...

Q: A random sample of 30 binomial trials resulted in 12 success. Test the claim that the population por...

A: Hey, since there is multiple subpart questions posted, we will answer first three subparts. If you w...

Q: Suppose that Xi ∼ Gamma(αi , β) independently for i = 1, . . . , N. The mgf(moment generating functi...

A: It is provided that and the moment generating function (MGF) is,

Q: Rolling two dice.  If two dice are rolled one time, find the probability of getting these results. A...

A: Probability of an event:The probability of an event is the number of favourable cases for an event d...

Q: If X(n,p) is a binomial random variable with parameters n and p, then why is it that X(n+1,p) stocha...

A: Both random variables have common probability space, we can clearly say that the expected value of X...

Q: The price to earnings ratio (P/E) is an important tool in financial work. A random sample of 14 larg...

A: (a) Level of significance:Level of significance (α) indicates the probability of rejecting null hypo...

Q: Select the statistic test that best fits each description. Number of heart attacks per blood type (a...

A: Introduction:A brief introduction to the various tests suggested here is given below:T-test independ...

Q: Do larger universities tend to have more property crime? University crime statistics are affected by...

A: (a) Scatter diagram of the data:The least-squares regression line is the best fitted to the given da...

Q: Consider a drug testing company that provides a test for marijuana usage. Among 301 tested subjects,...

A: Given hypothesis testp be the proportion of wrong test results Null hypothesis : p = 0.10Alternate H...

Q: (a) Write the claim mathematically and identify Upper H 0H0 and Upper H Subscript aHa. ​(b) Find the...

A: Hello there! given question has more than three sub-parts. According to our policies can answer only...

Q: What is your favorite color? A large survey of countries, including the United States, China, Russia...

A: A).State the appropriate hypothesis:Let P be the population proportion of individuals who claim blue...

Q: how do I compute six deviations (x scores are [0,1,1,1,2,7,]) from the mean (x-m), and list these si...

A: Solution:Calculation of mean:The mean of X scores is calculated as follows.

Q: A conservation biologist is working on increasing population sizes of the silver-leaf lupine (Lupinu...

A: Solution:a) Effects of ANOVA:It is given that three different treatments assigned to different seeds...

Q: A politician recently made the claim that 47% of taxpayers from a certain region do not pay any inco...

A: The aim is to identify the null and alternative hypotheses for testing the claim.

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as ...

A: Hello there! there are moe than three subparts in the question. According to our policies cannot ans...

Q: 4 (continued). Currently, Melvin has equipped the Club of Ad Hominem. 20% of the time he swings the ...

A: The given information is not sufficient to solve all the subparts. More information is required to s...

Q: Natasha is a physician looking to determine whether a supplement is effective in helping men lose we...

A: According to the given question, Natasha is a physician looking to determine whether a supplement is...