7.40 The z statistic, distributions of means, and height,question 2: Another teacher decides to average theheights of all 15-year-old male students in his classesthroughout the day. By the end of the day, he has mea-sured the heights of 57 boys and calculated an averageof 68.1 inches (remember, for this population µ3.19 inches).67inches and o =a. Calculate the mean and the standard error of thedistribution of mean heights.b. Calculate the z statistic for this group.C What percentage of groups of people would weexpect to have mean heights, based on samples ofthis size (57), taller than this group?d. How often do mean heights equal to or moreextreme than 68.1 occur in this population?How does this result compare to the statistical sig-nificance cutoff of 5%

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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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In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 rock specimens were weighed in grams on each scale. The following data presented in the table were obtained. Can you conclude that the mean weight differs between the scales? Use a=0.03. Specimen Weight on Scale 1 Weight on Scale 2 d; 1 11.23 11.27 -0.04 2 14.36 14.41 -0.05 3 8.33 8.35 -0.02 4. 10.50 10.52 -0.02 23.42 23.41 0.01 6 9.15 9.17 -0.02 7 13.47 13.52 -0.05 8 6.47 6.46 0.01 9 12.40 12.45 -0.05 10 19.38 19.35 0.03 What are the critical values? A. -1.833,1.833 B. -2.574,2.574 C. -2.398,2.398 D. -2.262,2.262 What is the test statistic and conclusion? A. -2.204; Reject Ho B. -2.204; Fail to reject Ho C. -2.108; Reject Ho D. -2.108; Fail to reject Ho
The next five questions refer to the following scenario: • sample mean T = 10 • sample size n = 100 • population standard deviation O = 4
Table 1.6 A biologist measured the width(in mm) of the upper molar in 40 specimens(population) of a certain mammal. These results are given in the ff. fdt. Mean width(mm) frequency 5.5 3 5.8 10 6.1 15 6.4 8 6.7 3 7.0 1 Calculate the mean deviation(MD) and standard deviation(s) to the nearest hundredths. Choose the relationship which will describe the fdt in terms of variation. Group of answer choices A. None of the measures describes the variation. B. The standard deviation is more variable than the mean deviation. C. Equal variation. D. The mean deviation is more variable than the standard deviation.
For a given frequency distribution data table, x= 6, Exf =1200 and Ef = 25 then the sample standard deviation equals: Select one: a. 11.5 b. 2.65 с. 3.54 d. 10.5
J11.
touch ".llE 55% D14:52 Question Measurements for the length and width of a rectangular plastic covers for CDs are Tounded to the nearest mm (so they are discrete). Let X denote the length and Y dente the width. The possible values of X are 129, 130, and 131 mm. The possible values of Y are 15 and 16 mm. The joint distribution is given by the following table X-length 129 130 131 Y=width 15 0.12 0.42 006 16 0.08 0.28 0.04 The probability that a CD cover has width of 16 mm knowing that it has a length of 131 mm is O 0.13 O 0.2 O 0.4 O 0.08
A population has a mean μ = 82 and a standard deviation o = 16. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 64. H = (Simplify your answer.) ...
Use the formula to find the standard error of the distribution of differences in sample means, ₁ - ₂. Samples of size 35 from Population 1 with mean 3.1 and standard deviation 1.8 and samples of size 35 from Population 2 with mean 2.0 and standard deviation 1.4 Round your answer for the standard error to two decimal places. standard error = i
The mass of each 60 peddles collected from a beach was measured. The results, correct to the nearest gram, are summarised in the following table. Mass 10 – 14 15 – 19 20 – 24 25 – 29 30 – 34 35 – 39 Frequency 8 14 17 11 4 (a) Calculate the mean, median and standard deviation.
Question (g) Compute the three quartiles and draw a box-whisker plot showing therequired calculations.(h) Compute the 29th percentile of the data and interpret its value.
Just need #4 In 1905 R Pearl published the article “Biometrical Studies on Man. I. Variation and Correlation in Brain Weight”. According to the study, brain weights of Swedish men are normally distributed with a mean of 1.4 kg and a standard deviation of 0.11 kg. Determine the sampling distribution of the sample mean for samples of size 3. Repeat part (a) for samples of size 12. That is, for parts (a) and (b) discuss the distribution, mean and standard deviation of the sample means for the different sample sizes. Use Excel to construct graphs similar to those shown in Fig 7.4 on page 321 in the textbook. Hand in your excel output and show the data you used to construct the plots, as well as the plots Do you need to assume that brain weights of Swedish men are normally distributed to answer parts (a) and (b)? Explain your answer
Consider the following table: SS DF MS ? 10 10 7 706.87 15 Among Treatments 4468.45 Error Total Step 3 of 8: Calculate the mean square among treatments. Please round your answer to two decimal places. LL F

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