**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 6 ounces.Use the Standard Deviation Rule, also known as the Empirical Rule.**Suggestion:** Sketch the distribution in order to answer these questions.a) 95% of the widget weights lie between ___ oz and ___ ozb) What percentage of the widget weights lie between 31 and 61 ounces? ___ %c) What percentage of the widget weights lie above 43? ___ %**Explanation:**The Empirical Rule states that for a bell-shaped distribution:- Approximately 68% of data falls within 1 standard deviation from the mean.- Approximately 95% falls within 2 standard deviations.- Approximately 99.7% falls within 3 standard deviations.For question (a), calculate the range using 2 standard deviations (49 ± 2*6).For question (b), determine the percentage that falls between 31 and 61 ounces, considering that this range likely encompasses all standard deviations.For question (c), calculate the percentage above a specified value by finding the z-score or referring to symmetry around the mean if applicable.Sketching a normal distribution curve could assist in visualizing these probabilities.

Answered: The Acme Company manufactures widgets.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use the grouped data formulas to find the indicated mean or standard deviation. For the following data set, approximate the sample standard deviation. Height (in inches) Frequency 50-52 53-55 56-58 12 59-61 13 62-64 11 E
Subject: algbera
The heights of Crepe Myrtle saplings at a local nursery are measured and the data recorded. The data is then plotted and the distribution is found to be bell-shaped. The mean of the set is 67 inches and the standard deviation is 3 inches. A graph of the situation is shown below: 58 61 64 67 70 73 76 a) What percentage of the saplings is more than 70 inches tall? b) What percentage of the saplings is between 61 and 73 inches tall?
cw 1.2 The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 61 ounces and a standard deviation of 11 ounces.Use the Standard Deviation Rule, also known as the Empirical Rule.Suggestion: sketch the distribution in order to answer these questions.a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 39 and 94 ounces? %c) What percentage of the widget weights lie below 72 ? %
Assume the selling prices of homes in a particular community follow a normal distribution with a mean of $263,100 and a standard deviation of $43,200. Complete parts a through c. a. Determine the range of selling prices in this community that includes one standard deviation around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) b. Determine the range of selling prices in this community that includes two standard deviations around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) c. Determine the range of selling prices in this community that includes three standard deviations around the mean. The range is from $ to $1. (Type integers or decimals. Use ascending order.)
Please answer a and b
Milan
Jse the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 64 miles per hour, with a standard deviation of 4 miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and 72 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately % of vehicles travel between 56 miles per hour and 72 miles per hour.
❎❎❎❎✅✅✅✅✅✅✅
The accompanying data represent the pulse rates (beats per minute) of nine students enrolled in a statistics course. Treat the nine students as a population. Complete parts (a) through (c). E Click the icon to view the data on the students' pulse rates. (a) Compute the population standard deviation. beats per minute (Round to one decimal place as needed.)
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 57.4 degrees. The mean of the frequency distribution is (Round to the nearest tenth as needed.)

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