1. The following sample of solar intensity measurements (watts/m2) was collected randomly ondifferent days in southern Australia:731 743 734 690 701 682 717 707 741 709 704 677 758 688a) Should the assumption of normality be adopted for this dataset? Include the QQ plotconstructed in R and comment how you use it to answer the question.b) Calculate and interpret the 95% confidence interval for the true mean solar intensity insouthern Australia.c) Calculate and interpret the 95% upper confidence bound for the true mean solar intensityin southern Australia.d) What sample size is needed for the length of the 95% confidence interval for the true meansolar intensity in southern Australia to be at most 20.e) Calculate and interpret the 95% prediction interval for a new solar intensity measurement

Given data indicates the solar intensity measurements on different days in the country. (a) The…

Answered: 1. The following sample of solar…

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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Question 3 A fruit farmer has a large number of almond trees, all of the same variety and the same age. One year he wishes to estimate the mean yield of his trees. He collects all the almonds from 8 trees and records the following weights (kg); 36 53 78 67 92 77 59 66 a) Use these data to estimate the mean and standard deviation of the yields of all the farmer's trees. b) Construct a 95% confidence interval for the mean yield. c) What statistical assumption is required for your procedure to be valid? d) How might you select a sample of eight trees from those growing in a large field. Criteria [2.1, 2.2, 2.3]
2) The following data represent the number of passengers per flight in a random sample of 20 flights from Vienna, Austria, to Cluj-Napoca, Romania, with a new airline: 96 95 70 74 28 63 64 94 37 83 25 48 80 52 48 52 38 47 79 65 a) Find a 99% confidence interval for the mean number of passengers per flight. b) Find a 95% confidence interval for the population standard deviation.
Wk Qu. 13-11 A simulation returns... A simulation returns the following statistics: Mean 100 Standard Deviation: 5 Mode: 96 Minimum:75 Maximum: 135 Standard Error: 8. What is the most likely value? Most likely value A 68% confidence interval for the true mean would start at a value of 92 and end at a value of 108. A 68% confidence interval for the true mean would start at a value of and end at a value 108
The following data represent petal lengths (in cm) for independent random samples of two species of iris. Petal length (in cm) of Iris virginica: x1; n1 = 36 5.2 5.6 6.1 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.8 5.2 5.2 Petal length (in cm) of Iris setosa: x2; n2 = 38 1.6 1.8 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4 1.7 1.0 1.7 1.9 1.6 1.4 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6 1.5 1.4 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.5 (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.) x1=s1=x2=s2= (b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 99% confidence interval for μ1 − μ2. (Round your answers to two decimal places.) lower limitupper limit
The data set below represents the weights in grams of 10 randomly selected adult male fox squirrels from a forest. Assume the weights are normally distributed. 821 857 782 930 720 821 794 876 810 840 Find the sample mean and sample standard deviation Construct a 90% confidence interval for the population mean. Interpret the results from b.
Given the Data: Seconds Frequency 66-70 4 61-65 8 56-60 7 51-55 2 Compute for the: a) Standard Deviation b) Variance c) Range
Given two dependent random samples with the following results: Population 1 48 29 32 29 38 31 28 Population 2 45 38 41 16 40 28 38 Use this data to find the 95% confidence interval for the true difference between the population means. Assume that both populations are normally distributed. Copy Data Step 2 of 4 : Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.
The following data represent a random sample of five measurements from a normally distributed population: 7,4,2,5,7 a. Find 90% confidence interval for u. b. Find a 99% confidence interval for u.
which of the following sample data: sample size= 100 sample mean= 340z/hr sample variance= 90z/ hr construct a 98% confidence interval for μ. the population mean is what?
The following data set shows project grades for an elementary statistics class. 20 21 b.) median = 25 11 c.) range= 16 15 d.) standard deviation = 21 13 13 24 18 21 22 26 24 14 Use the data to find each of the following values for this data: (if necessary, round to two decimal places) [BE SURE TO CHECK YOUR DATA IN THE CALCULATOR] a.) mean = 13 18 12 15
For the given data below, determine: a) the mean b) the standard deviation c) the variance d) the coefficient of variation e) the 95% confidence interval for the mean Also (f) construct a histogram using a range from 7.5 to 11.5 with intervals of 0.5:8.8, 9.5, 9.8, 9.4, 10, 9.4, 10.1, 9.2, 11.3, 9.4, 10, 10.4, 7.9, 10.4, 9.8, 9.8, 9.5, 8.9, 8.8, 10.6, 10.1, 9.5, 9.6, 10.2, 8.9
1. Find the sample standard deviation from the following data. 1420,1223,988,694,730,836,721,742,541,623,1449,950 2., Construct a 99%confidence interval for the population mean μ.

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