2. A potato-chip producer and its main supplier agree that each shipment of potatoes must meet certain quality standards. If the producer finds convincing evidence that more than 8% of the potatoes in the entire shipment have "blemishes," the truck will be sent away to get another load of potatoes from the supplier. Suppose that the proportion of blemished potatoes in the entire shipment is p = 0.08 and that the supervisor randomly selects n = 500 potatoes for inspection. a. Calculate the mean and standard deviation of the sampling distribution p. МEAN STANDARD DEVIATION b. Construct a normal curve with the mean and standard deviation using Desmos. Calculate the probability that at least 11% of the potatoes in the sample are blemished. Express your answer as a decimal.

2. A potato-chip producer and its main supplier agree that each shipment of potatoes must meet certain quality standards. If the producer finds convincing evidence that more than 8% of the potatoes in the entire shipment have "blemishes," the truck will be sent away to get another load of potatoes from the supplier. Suppose that the proportion of blemished potatoes in the entire shipment is p = 0.08 and that the supervisor randomly selects n = 500 potatoes for inspection. a. Calculate the mean and standard deviation of the sampling distribution p. МEAN STANDARD DEVIATION b. Construct a normal curve with the mean and standard deviation using Desmos. Calculate the probability that at least 11% of the potatoes in the sample are blemished. Express your answer as a decimal.

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Description: 2. A potato-chip producer and its main supplier agree that each shipment of potatoes must meet certain qualitystandards. If the producer finds convincing evidence that more than 8% of the potatoes in the entire shipmenthave "blemishes," the truck wi

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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Crop rotation is the practice of planting dissimilar crops sequentially in one locationto avoid the depletion of nutrients. A researcher conducted an experiment withsoybeans: they used crop rotation on 15 plots and left another 15 with no rotation. i. The researcher attaches particular importance to the reliability of theharvest as well as the actual harvest. Set out two descriptive statisticsthat could be useful to capture reliability. ii. Below are the number of pounds of soybeans harvested from each plot.Draw a boxplot to explain the data and explore any differencesbetween the two plots. (Do not carry out formal tests or confidenceintervals.) Crop rotation: 37, 42, 44, 46, 41, 39, 29, 31, 37, 41, 42, 45, 38 , 42, 33 No rotation: 29, 35, 34, 27, 31, 36, 41, 40, 37, 29, 31, 36, 24, 23, 22
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1. A psychologist is interested in investigating the proportion of depressed teenagers in a particular city. Using a sample of 40 teenagers, 16 were found to exhibit symptoms of depression. At a = 0.01, test the claim that more than 35% of teenagers who live in the city are depressed. 2. A researcher wishes to determine the proportion of college students who smoke marijuana. He determined that from a sample of 120 college students, 24 tested positive of marijuana. Is it valid to infer that 20% of college students smoke marijuana? Use a = 0.05. 3. A telecommunications analyst believes that more than 34% of Filipinos subscribed to any of the available postpaid plans. A random sample of 55 was chosen and the gathered data showed that 22 are postpaid subscribers. At 0.10 significance level, is there sufficient evidence to conclude that more than 34% of Filipinos are postpaid subscribers?
2. According to World Health Organization (WHO), the recommended limit for a noise level inside a classroom is 35 dBA. However, nine out of ten schools fail to meet this recommendation. A researcher wishes to conduct a study relevant to the prior information, but as a gap, he decides to include the area (in square meters) of every classroom and how it could possibly affect the resulting noise level. He selects 17 classrooms at random, and the noise levels are recorded in the next slide. a. Find the regression equation and construct the scatter plot diagram. b. Predict the noise level if a classroom has an area of 85.97 m². c. Calculate the coefficient of determination and interpret the findings. d. Calculate the coefficient of alienation and interpret the findings.
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1. For her botany class project, Jennifer wonders if there is a connection between the average weight of watermelons a vine produces and the root depth of the vine. Jennifer suspects that vines with deeper roots have a better water supply and produce larger melons. From a large watermelon field, 10 vines are chosen at random. At the end of 8 weeks, the watermelons are removed from each vine and the average weight of the watermelons from each vine is determined. Each plant is carefully dug up and its root depth (or length) is measure. Let x represent the root depth (to the nearest inch) and y be the mean weight of the watermelons on the vine (in pounds). Suppose that x = 17, s, = 6, y = 12, s, = 5.1, and r = = 0.93. a. Find the equation of the least squares regression line (round a and b to the nearest tenth). b. List 2 points that you know will be on the least-squares line you found in part a. c. What percent of variation is accounted for by a linear relationship? d. Using part a.,…
1. A dog groomer is often asked if small dogs bark more than larger dogs. To test this, he logs the number of separate barking episodes per day for three size dogs: small, medium, and large. In a separate file you will find the number of barking episodes for 12 dogs. On average, small dogs barked the most Mean: 7.25 On average, medium sized dogs barked the least Mean: 2.75 A. Do the different size dogs bark a significantly different number of times? Test with an α = 0.05. B. If appropriate, use Tukey’s HSD post hoc test and report where the differences are. If inappropriate, state why. C. Calculate and interpret the effect size.