The manager of a pizza shop finds that the delivery time of pizza to customer follows a normal distributionwith population mean of µ minutes and population standard deviation of 8 minutes. The manager randomlyselects 18 orders and marks down the delivery time (in minutes) as below:131822242424262627282829303031323538(a) Find the sample mean, median and mode of the above data.(b) Find the point estimate of u(c) Another survey will be conducted for the construction of the 99% confidence interval estimate of µ.Find the least number of orders to be selected so that the sampling error of the 99% confidence intervalestimate of u is less than 2.5 minutes.

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Answered: The manager of a pizza shop finds that…

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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A group of construction students were asked to find the level of illuminance (unit: lux) in different rooms of a building. Their observations were: 370 500 440 425 400 550 470 440 450 360 410 450 450 460 490 430 530 520 420 400 380 500 330 470 350 460 350 390 440 380 400 410 360 500 460 450 370 480 460 510 a. Calculate the mean, median, standard deviation and skewness of the data. b. Construct a histogram for the data. c. Describe the histogram.
A machine deliver the packets of a given weight. 10 samples of size 5 each were recorded. The reievant data are given below, Sample Number Mean (x) Range (R) 1 15 7 2 17 3 15 4 18 9. 17 8 6 14 7 7 18 12 8. 15 4 17 11 10 16 Calculate the values for the central line and the control limits for mean chart and then comment on the state of control.
Age at diagnosis for each of 20 patients under treatment for meningitis was given in the paper "Penicillin in the Treatment of Meningitis" (Journal of the American Medical Association [1984]: 1870-1874). The ages (in years) were as follows: 4.72 18 18 25 19 23 20 69 18 21 18 20 18 18 20 18 19 28 17 18 18 a. Calculate the values of the sample mean and the standard deviation. b. Compute the upper quartile, the lower quartile, and the interquartile range. c. Are there any mild or extreme outliers present in this data set? d. Construct the boxplot for this data set.
Use the Descriptive Statistics tool to summarize the percent gross profit for the sales data provided. Find the descriptive statistics for the percent gross profit. (Type integers or decimals rounded to two decimal places as needed.) Mean enter your response here % Standard Error enter your response here % Median enter your response here % Mode enter your response here % Standard Deviation enter your response here % Sample Variance enter your response here Kurtosis enter your response here Skewness enter your response here Range enter your response here % Minimum enter your response here % Maximum enter your response here % Sum enter your response here Count Customer Percent Gross Profit1 212 213 224 225 166 227 328 269 3410 2411 1012 3213 2814 5015 2716 317 2218 919 1420 2121…
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with H = 525. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 530 with a standard deviation of 119. Complete parts (a) through (d) below. C. Yes, because every increase in score is practically significant. D. No, because the score became only 0.95% greater. (d) Test the hypothesis at the a = 0.10 level of significance with n= 400 students. Assume that the sample mean is still 530 and the sample standard deviation is still 119. Is a sample mean of 530 significantly more than 525? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =0 (Round to two decimal places as needed.) %3D Find the P-value. The P-value is (Round to three decimal…
Data on oxide thickness of semiconductors are as follows: 417 422 435 418 408 433 430 422 426 411 437 436 432 411 426 408 436 422 432 415 414 Consider this data as a sample of the population. (a) Calculate a point estimate of the mean oxide thickness for all wafers in the population. (Round your answer to 3 decimal places.) (b) Calculate a point estimate of the standard deviation of oxide thickness for all wafers in the population. (Round your answer to 2 decimal places.) (c) Calculate the standard error of the point estimate from part (a). (Round your answer to 2 decimal places.) (d) Calculate a point estimate of the median oxide thickness for all wafers in the population. (Express your answer to 1 decimal places.) (e) Calculate a point estimate of the proportion of wafers in the population that have oxide thickness greater than 430 angstrom. (Round your answer to 4 decimal places.)
The frequency distribution of scale categories for a 7-point off- flavor scale follows: Category Frequency 1 (none) 75 86 3 93 4 74 5 60 6 36 7 (very strong) 21 1. What is the rational origin of the foregoing 7-point scale? 2. Scale the categories using Guilford's method and interpret the results. Also find Guilford's adjusted scores. Detemine the mean and the standard deviation of the estimated category scale. 3.
A researcher in a scientific foundation wished to evaluate the relation between intermediate and senior level annual salaries of research mathematician (Y, in thousand dollars) and an index of publication quality (X1), the number of years experience (X2), and an index of success in obtaining grant support (X3). A. Determine the R2 and adjusted R2. B. Determine the significant factors. C. Determine if the residual follows a normal distribution . Determine if the variance is constant over time. Find the leasts-squares regression equation. The data for a sample of 24 intermediate and senior level research mathematicians follow.
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A sample of size 8 was collected from an unknown population 0 1126 10 11 20 1. Use the table of expected z-scores (rounded to the nearest tenth) below to construct the normality plot with expected z-scores on the x-axis and the observations on the y-axis: 5 -1.2 -0.5 0 0.5 1.2 Clear All Draw: 22- 2 not normal normal 19 # 6 -1.3 -0.6 -0.2 0.2 0.6 1.3 7 -1.4 -0.8 -0.4 0 0.4 0.8 1.4 8 -1.4 -0.9 -0.5 -0.2 0.2 0.5 0.9 1.4 9 -1.5 -0.9 -0.6 -0.3 0 0.3 0.6 0.9 1.5 2. Based on whether the pattern above is linear or not, in your opinion, was the sample drawn from a normal population or not?
In a simulation project, the time (in minutes) between arrivals of customers to a post office is to be modelled. The team collected the arrival data of 200 customers and arranged it to perform a x² goodness- of-fit test in the table below. They checked the histogram of the data and thought that the distribution should be Normal with the estimated mean value T = 124 min and standard deviation s = 15.50 min. Calculate and fill the missing entries in the table (Assume k = 8). Interval E₁ -00 X <106.170 25.00 31 106.170 X 112.1 19.31 28 112.1X118.0 26.00 24 30.00 28 30.00 38 26.00 28 19.00 118.CX 124.C 124.C < X < 129.9 129.9 X 135.8 135.8 X 141.830 141.830 X ∞ Oi The test statistic is X= <= 18.70 25.00 11 X² The critical value is X3.03.df 12.37 The p-value for the test is p-value = 1.44 4.26 0.15 2.13 0.15 12 2.58 0.13 7.84

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