14. A potato chip manufacturer regularly inspects bags of chips to make sure there aren't too many below theadvertised weight of 32 ounces. Each hour they take a random sample of 10 bags of chips, calculate the firstquartile (Q.) for the sample of weights, and adjust the machine if Q, is significantly less than 32 ounces.(a) Define the parameter of interest and state the hypotheses the manufacturer wants to test.Q1 =bnsH,:Here are the weights of 10 bags from one random sample.Bag Number1.356.7.8.9.10Weight (ounces) 31.1 31.8 34.6 33.3 29.9 30.2 32.1 32.6 31.9 31.2(b) State the evidence for the alternative hypothesis provided by these data.(c) Is it plausible that the population of bag weights is approximately Normally distributed? Explain.(d) A simulation was conducted where 100 random samples of size 10 were generated from a Normal populationwhere the value of Q. was 32. The sample Qi for each of these samples was computed and is displayed below.Use the results of this simulation to test the hypotheses in part (a).29.530030.531.031.532.032533033.5Simulated Sample Qs

A random sample of 10 bags per hour is taken, first quartile is calculated and the machine is…

Answered: 14. A potato chip manufacturer…

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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B6. Pinan Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source Regression Residual Total Regression output Variables Intercept Distance-X Answer the following questions. SS 1,864.5782 1,344.4934 3,209.07 Coefficients 12.3601 4.7956 df 1 28 29 MS 1,864.5782 48.0176 Std. Error 3.2915 0.7696 F 38.83 t(df=28) 3.755 6.231 a) Write out the regression equation. Is there a direct or indirect relationship between the distance from the fire station and the amount of fire damage? b) How much damage would you estimate for a fire 5 miles from the nearest fire station?
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 188 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.61 cm, y = 81.52 kg, r=0.271, P-value=0.006, and y = -103 +1.18x. Find the best predicted value of ŷ (weight) given an adult male who is 155 cm tall. Use a 0.10 significance level. The best predicted value of y for an adult male who is 155 cm tall is (Round to two decimal places as needed.) kg.
2. Suppose the chamber of commerce at Pyramid Lake advertises that the average length of trout caught at the lake is μ = 19 inches. However, a fishing magazine survey reported that for a random sample of 51 fish caught, the mean length was x = 18.5 inches with estimated standard deviation s = 3.2 inches. Do these data indicate that the average length of the trout caught at Pyramid Lake is less than μ = 10 inches? (Use α = 0.05)
The mean exam score for 44. male high school students are 19.9 and the population standard deviation is 5.2. The mean exam score for 55female high school students is 19.4 and the population standard deviation is 4.9. At α=0.01, can you reject the claim that male and female high school students have equal exam scores? Complete parts (a) through (e). (a) Identify the claim and state H0 and Ha. What is the claim? A. Male high school students have lower exam scores than female students. B. Male and female high school students have different exam scores. C. Male and female high school students have equal exam scores. D. Male high school students have greater exam scores than female students. What are H0 and Ha? Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 132 to 193 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.59 cm, y = 81.52 kg, r= 0.416, P-value = 0.000, and y = - 102 + 1.13x. Find the best predicted value of y (weight) given an adult male who is 147 cm tall. Use a 0.05 significance level. The best predicted value of y for an adult male who is 147 cm tall is kg. (Round to two decimal places as needed.)
In a random sample of 765 adults in the United States, 122 of them said if they had to cover a $400 emergency expense, they would need to use a credit card and pay it back over time. a. what is the parameter being estimated b. what is the sample proportion (must show work)
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 137 to 189 cm and weights of 37 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.50 cm, y =81.41 kg, r=0.232, P-value = 0.020, and y = - 109 + 1.17x. Find the best predicted value of y (weight) given an adult male who is 145 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 145 cm tall is kg. (Round to two decimal places as needed.)
Let S1^2 be the sampling variance for a random sample of twelve values (amount of mercury in the blood) and let S2^2 be the sampling variance for a random sample of ten values (amount of lead in the blood); samples from the same population were used. The population variance for mercury measurements is assumed to be twice the corresponding population variance for lead measurements. We will further assume that S1^2 is independent of S2^2. 1. Find a number b such that P [(S1^2/S2^2)<=b]=0.95 enter such a b to three decimal places b= 2. Consider the number b calculated above, find a number a such that P[a<=(S1^2/S2^2)<=b]=0.90 enter said a to three decimal places. a=
The pulse rates of 176 randomly selected adult males vary from a low of 40 bpm to a high of 116 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 95% confidence that the sample mean is within 2 bpm of the population mean. Assume that o= 10.1 bpm, based on the value s = 10.1 bpm from the sample of 176 male pulse rates
2. The following passage is from a paper. Also significant was the proportion of males and their water consumption (8 oz. servings) compared to females (X2 = 8.136, P-value = 0.087). Males came closer to meeting recommended daily water intake (64 oz. or more) than females (29.8% vs. 20.9%). This statement was based on carrying out a chi-square test of homogeneity using data in a two-way table where rows corresponded to sex (male, female) and columns corresponded to number of servings of water consumed per day, with categories none, one, two to three, four to five, and six or more. A) What hypotheses did the researchers test? H0: Sex and number of servings of water consumed per day are not independent. Ha: Sex and number of servings of water consumed per day are independent. H0: The proportions falling into each of the water categories are the same for both sexes.Ha: The proportions falling into each of the water categories are not the same for both sexes. H0: The…

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