Question 3Management of a soft drink bottling company has the business objective of developing amethod for allocating delivery costs to customers. Although one cost clearly relates to traveltime within a particular route, another variable cost reflects the time required to unload thecases of soft drink at the delivery point. To begin, management decided to develop a regressionmodel to predict delivery time based on the number of cases delivered. A sample of 7 deliverieswithin a teritory was selected. The delivery times and the number of cases delivered wereorganized in the following table:Customer No. of CasesDeliveryTime114241631317284193011206.162272440a) Use the least-squares method to compute the regression coefficients.b) Write down the estimated equation and interpret the meaning of the coefficients in thisproblemc) Predict the mean delivery time for 26 cases of soft drink.d) Determine the value of the extent of relationship between delivery time and number ofcases and interpret your result.e) Determine the coefficient of determination and explain its meaning in this problem.f) What variation in delivery time is not attributed to the number of casesg) At the 5% significance level, determine whether there a correlation between deliverytime and number of cases. Question1The number of grams of carbohydrates contained in 1-ounce servings of randomly selectedchocolate and nonchocolate candy is listed here. Is there sufficient evidence to conclude thatthe difference in the means is significant? Use a = 0.01.Chocolate:29 251736 41 2532 2938 3424 2729Nonchocolate: 41 41372930 3839102955 29Question 2In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal duringone week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bites. Isthere a significant difference in the proportions at 1% significance level?

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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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70 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # of times floss per week Frequency Relative Frequency Cumulative Frequency 0 5 0.0714 5 1 11 0.1571 16 2 11 0.1571 27 3 7 0.1 34 4 7 0.1 41 5 7 0.1 48 6 8 0.1143 7 70 a. Complete the table (Use 4 decimal places when applicable) b. What is the cumulative relative frequency for flossing 2 times per week? %
A legal case rested on whether a patent witness' signature was written on top of key text in a notebook or under the key text. The zinc measurements for three notebook locations on a text line, on a witness line, and on the intersection of the witness and text line-are provided in the table below. Complete parts a through c below. Text line Witness line 0.319 0.384 0.327 Intersection Find the test statistic. HT-1400 0.321 0.307 0.327 t = (Round to two decimal places as needed.) Find the p-value. p-value= (Round to three decimal places as needed.) a. Use a test (at a = 0.02) to compare the mean zinc measurement for the text line with the mean for the intersection. Let μ represent the mean zinc measurement for the text line, let uw represent the mean zinc measurement for the signature of a patent witness, and let μ, represent the mean zinc measurement for the intersection line. Select the correct hypotheses below. OA. Ho: HT-Hw=0, H₂: HT μ₁0 OB. Ho: HT-H₁0, H₂: HT-H₁0 O C. Ho: HT-HW = 0,…
An article gives the price-an estimated average for a 6-ounce can or a 7.06-ounce pouch-for 14 different brands of water- packed light tuna, based on prices paid nationally in supermarkets. 1.00 1.91 1.23 0.87 0.67 0.53 1.41 1.12 0.61 0.66 0.70 0.61 0.60 0.68 (a) Find the average price for the 14 different brands of tuna. (Round your answer to two decimal places.) $ (b) Find the median price for the 14 different brands of tuna. $ (c) Based on your findings in parts (a) and (b), do you think that the distribution of prices is skewed? Explain. More information is needed to determine skewness. O Since the mean is larger than the median, the distribution is skewed to the right. O Since the median is larger than the mean, the distribution is skewed to the left. O Since the mean and median are equal, the distribution is not skewed.
130 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # of times floss per week Frequency Relative Frequency Cumulative Frequency 0.1077 14 13 0.1 27 13 40 3 15 0.1154 55 4 19 0.1462 74 5. 21 0.1615 6. 13 0.1 108 22 0.1692 130 a. Complete the table (Use 4 decimal places when applicable) b. What is the cumulative relative frequency for flossing 2 times per week? Submit Question
Several methods of estimating the number of seeds in soil samples have been developed by ecologists. An article gave the accompanying data on the number of seeds detected by the direct method and by the stratified method for 27 soil specimens. Specimen Direct Stratified 1 21 7 2 34 38 3 0 7 4 60 58 5 20 54 6 61 61 7 40 27 8 7 7 9 14 7 10 94 100 11 1 0 12 67 58 13 78 67 14 21 54 Specimen Direct Stratified 15 34 27 16 0 0 17 38 38 18 18 14 19 94 94 20 1 14 21 40 47 22 21 21 23 0 0 24 7 14 25 14 40 26 18 14 27 40 78 Do the data provide sufficient evidence to conclude that the mean number of seeds detected differs for the two methods? Test the relevant hypotheses using ? = 0.05. (Use ?direct − ?stratified.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four…
Statistics Question
For a sample of 12 offenders convicted of weapons violations, the length of prison sentence in months was recorded as: 6 6 2 12 36 48 60 24 24 20 18 15 What percentage of the prison sentence would be expected to count less than 24 months?
130 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # of times floss per week Frequency Relative Frequency Cumulative Frequency 18 0.1385 18 1 21 0.1615 39 2 20 59 3 15 0.1154 4 16 0.1231 90 10 0.0769 100 6 0.1231 116 7 14 0.1077 130 a. Complete the table (Use 4 decimal places when applicable) b. What is the cumulative relative frequency for flossing 5 times per week?
Several methods of estimating the number of seeds in soil samples have been developed by ecologists. An article gave the accompanying data on the number of seeds detected by the direct method and by the stratified method for 27 soil specimens. Specimen Direct Stratified 1 21 6 2 32 38 3 0 6 4 60 58 5 20 52 6 61 61 7 40 26 8 6 6 9 12 6 10 92 100 11 1 0 12 66 58 13 78 66 14 21 52 Specimen Direct Stratified 15 32 26 16 0 0 17 38 38 18 18 12 19 92 92 20 1 12 21 40 46 22 21 21 23 0 0 24 6 12 25 12 40 26 18 12 27 40 78 Do the data provide sufficient evidence to conclude that the mean number of seeds detected differs for the two methods? Test the relevant hypotheses using ? = 0.05. (Use ?direct − ?stratified.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four…
A researcher collected how many grams of fat people on a specific diet consumed at breakfast and at lunch. The data for a sample of 8 people is shown in the table below. xx 11.3 8.2 7.2 3.6 2.3 2.5 2.7 0.4 yy 13.7 10.7 10.2 7.2 6.3 6.5 6.1 4.1 xx = grams of fat in breakfastyy = grams of fat in lunchThis data can be modeled by the equation ˆy=0.84x+4.07.y^=0.84x+4.07.Given this, how many grams of fat in lunch would be expected for a person who consumed 1.2 grams of fat at breakfast? Round to 1 decimal place.Answer =
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and σ = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.30 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.30 grams? Use ? = 0.10. (a) What is the level of significance? (Enter a number.) State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ = 4.3 g; H1: μ > 4.3 g; right-tailed H0: μ < 4.3 g; H1: μ = 4.3 g; left-tailed…
Several studies showed that after eating a low-fat cereal for two meals a day, subjects had lost some weight.A cereal companyfinanced this research. Identify what is wrong. Choose the correct answer below. A. Since the research is composed of voluntary response samples, there may be key data points missing. B. The data used in the studies is not reliable because it was not measured by the administrator. C. It is questionable that the sponsor is a cereal company because this sponsor can be greatly affected by the conclusion. D. It is not possible to take accurate measurements.

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