**Statistical Analysis of Chocolate Chips in Cookie Bags**The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1263 chips and a standard deviation of 117 chips.**Tasks:**1. **Determine the 30th percentile for the number of chocolate chips in a bag.**2. **Determine the number of chocolate chips in a bag that make up the middle 95% of bags.**3. **Identify the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies.****Instructions for Completion:**(a) The 30th percentile for the number of chocolate chips in a bag of chocolate chip cookies is [ ] chocolate chips. *(Round to the nearest whole number as needed.)*(b) The number of chocolate chips in a bag that make up the middle 95% of bags is [ ] to [ ] chocolate chips. *(Round to the nearest whole number as needed. Use ascending order.)*(c) The interquartile range of the number of chocolate chips is [ ] chips. *(Round to the nearest whole number as needed.)*These calculations require an understanding of normal distribution and statistical percentiles to be useful in data analysis or quality control within production.

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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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The average amount of rainfall in Puerto Rico last month was 3.5 inches, according to the National Meteorology Center. Suppose that a normal distribution can be used and that the standard deviation is 0.8 inches. a. What percentage of the time was last month's rainfall greater than 4 inches? (3 points)b. What percentage of the time was rainfall less than 3 inches? (3 points)c. A month is considered extremely humid if the rainfall is 10% higher for that month. How much rainfall must be in April to be considered an extremely humid month? (3 points)
Choose the correct option and explain.
Joan’s finishing time for the Bolder Boulder 10K race was 1.67 standard deviations faster than the women’s average for her age group. There were 415 women who ran in her age group. Assuming a normal distribution, how many women ran faster than Joan?
Most medical schools require applicants for admission to take the Medical College Admissions Test (MCAT) examination. Scores on the MCAT are roughly normally distributed with a mean of 500 and a standard deviation of 10.6. What percentage of students score above 518 points? ( write as a decimal and round to the nearest hundredth)
The distribution of the amount of money spent by first-time gamblers at a major casino in Las Vegas is approximately normal in shape with a mean of $600 and a standard deviation of $120. According to the standard deviation rule, almost 84% of gamblers spent more than what amount of money at this casino?
Steel rods are manufactured with a mean length of 25 centimeters. Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.08cm. Any rods that are shorter than 24.81cm or longer than 25.19cm are discarded. What proportion of the rods will be discarded?
Ten year old girls, the Mean is 54.4, the standard deviation 2.7, 95 percentile in height. How tall is she.
According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. These hours are normally distributed. c. Find the proportion of men who sleep between 6-8 hours per night. d. Find the number of hours that represents the 90th percentile.
The strength of the welds in a new manufacturing process is measured by the amount of weight needed to break the weld. The strength of the welds is normally distributed with mean 583 pounds. 30% of the welds had strength less than 500 pounds. What is the standard deviation of the strength of the welds?
The average repair cost of a microwave oven is $55, with a standard deviation of $8. The costs are normally distributed. What is the range for the middle 50% of repair costs for microwave ovens? Label.
The ages of the employees at Solar Systems, Inc. is normally distributed with a mean of 32.7 years and a standard deviation of 1.8 years. What percentage of employees at Solar Systems, Inc. are younger than 30 years old? Round your answer to the nearest tenth of a percent.
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 119.5-cm and a standard deviation of 2.2-cm. For shipment, 24 steel rods are bundled together.Find P75, which is the average length separating the smallest 75% bundles from the largest 25% bundles.P75 = -cm

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