### Understanding the Distribution of Widget WeightsThe Acme Company manufactures widgets, and the distribution of widget weights is bell-shaped. The widget weights have a mean (average) of 42 ounces and a standard deviation of 5 ounces.To analyze this distribution, we will employ the Empirical Rule.#### Using the Empirical Rule**Suggestion**: Sketch the distribution to answer these questions effectively.1. **Determine the range for 68% of the widget weights** - 68% of the widget weights lie between **37** and **47** ounces.2. **Calculate the percentage of widget weights between specific ranges** - **What percentage of the widget weights lie between 27 and 47 ounces?** - Answer: **34** %3. **Calculate the percentage of widget weights below a certain value** - **What percentage of the widget weights lie below 52 ounces?** - Input: **0.84134** [This appears to be incorrect based on the red 'X' mark]#### Navigation and Tools- **Question Help**: - [Video](#) – Link to an explanatory video for additional assistance. - [Post to forum](#) – Option to ask questions or discuss with peers on a forum.- **Calculator**: A tool to perform calculations.- **Submit Question**: Button to submit your answers for evaluation.---### Visual Elements Note- **Mean (μ)**: 42 ounces- **Standard Deviation (σ)**: 5 ounces- **Empirical Rule Coverage**: - 68% of data falls within ±1σ (37 to 47 ounces) - The question involves interpreting these values and understanding their implications in a normal distribution.

a) Empirical rule: The probability that the observation under the normal curve lies within 1…

eAcme Company manufactures widgets. The distribution of widget weights is bell-shaped. The Iget weights have a mean of 42 ounces and a standard deviation of 5 ounces. e the Empirical Rule. ggestion: sketch the distribution in order to answer these questions. 58% of the widget weights lie between 37 of and What percentage of the widget weights lie between 27 and 47 ounces? 34 What percentage of the widget weights lie below 52 ? 0.84134 uestion Help: DVideo D Post to forum E Calculator

eAcme Company manufactures widgets. The distribution of widget weights is bell-shaped. The Iget weights have a mean of 42 ounces and a standard deviation of 5 ounces. e the Empirical Rule. ggestion: sketch the distribution in order to answer these questions. 58% of the widget weights lie between 37 of and What percentage of the widget weights lie between 27 and 47 ounces? 34 What percentage of the widget weights lie below 52 ? 0.84134 uestion Help: DVideo D Post to forum E Calculator

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Define measure of dispersion and their types. Find the Absolute Quartile Deviation for the following data. 024, 384, 591, 407, 672, 522, 777, 733, 1490, 2488
the weight of an organ in adult males has a bell shaped distribution with a mean of 350 grams and a standard deviation of 50 grams. use the empirical rule to determine the following a. about 99.7% of organs will be between what weights? b. what percentage of organs weighs 300 grams and 400 grams ? Plzz explain both question. Ty
Using PivotTables, find the mean and standard deviation of sales by region in the data provided. LOADING... Click the icon to view the data. Question content area bottom Part 1 Complete the table below. (Type integers or decimals rounded to two decimal places as needed.) Average of Amount StdDev of Amount East enter your response here enter your response here North enter your response here enter your response here South enter your response here enter your response here West enter your response here enter your response here Grand Total enter your response here enter your response here
Help
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway per hour and 85 miles per hour. (Assume the data set has a bell-shaped distribution.) 70 miles per hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whese speeds are between 55 miles Approximately% of vehicles travel between 55 miles per hour and 85 miles per hour.
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 ounces and a standard deviation of 10 ounces. Use 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 24 and 74 ounces? c) What percentage of the widget weights lie above 34? Question Help: DVideo D Post to forum E Calculator Submit Question
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 ounces and a standard deviation of 3 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between b) What percentage of the widget weights lie between 57 and 69 ounces? c) What percentage of the widget weights lie above 54 ? 0.15% -3s 2.35% -25 13.5% -1s 34% 34% 1s 13.5% 2s 2.35% 3s and 0.15% % %
Help The mean useful life of car batteries is 48 months. They have a standard deviation of 5. Assume the useful life of batteries is normally distributed. a. Calculate the percent of batteries with a useful life of less than 43 months. (Round your answer to the nearest hundredth percent.) b. Calculate the percent of batteries that will last longer than 53 months. (Round your answer to the nearest hundredth percent.) a. Percent of batteries % b. Percent of batteries Next > Mc Graw Hill ! 1 Q A @ 2 Ne N r option W #3 S % So E X command $ 4 D R C < Prev % LO 5 F T 14 of 14 6 V G ⠀⠀ Y & 7 #Y H B 4 8 Dal J N 1 K M O Save & Exit L < MOSISO . command H Submit 96 1 ? optic
In the 1992 presidential election, Alaska's 40 election districts averaged 1989 votes per district for President Clinton. The standard deviation was 568. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places. a. What is the distribution of X? X ~ N( __ , __ ) b. Is 1989 a population mean or a sample mean? Select an answer _______. c. Find the probability that a randomly selected district had fewer than 2087 votes for President Clinton. _____ d. Find the probability that a randomly selected district had between 1905 and 2194 votes for President Clinton.______ e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number. ______
help
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 37 ounces and a standard deviation of 6 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between b) What percentage of the widget weights lie between 25 and 55 ounces? c) What percentage of the widget weights lie below 43 ? 0.15% -3s 2.35% -25 13.5% 34% 34% Submit Question 1s 13.5% 2s 2.35% 35 0.15% Question Help: Video Written Example Message instructor and % %
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 35 ounces and a standard deviation of 7 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule (see image below). Do not use normalcdf on your calculator. Suggestion: sketch the 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 14 and 49 ounces? % c) What percentage of the widget weights lie below 42 ? 34% 34% 2.35% 0.15% -3₁ -2s 13.5% 1s 13.5% 2s 2.35% 3s 0.15% %