The average household size in a certain region several years ago was 4.3 people. A census workerwishes to test, at the 5% level of significance, whether it is different now. A random sample of 100households will be used for the test. The value of the sample mean was 4.02 people with a samplestandard deviation 0.98 people. What is the p-value for this test?H :u= 4.3H : µ ± 4.3+2.86O 0.9979O 0.0042O 0.0021-2.86

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Answered: The average household size in a certain…

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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This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
You wish to test the following claim (H.) at a significance level of a = 0.01. H.:µ = 75.8 Ha:µ > 75.8 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 73 mean: M = 77.2 standard deviation: SD = 8.5. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P.value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... O less than (or equal to) a O greater than a This leads to a decision to... O reject the null O accept the null O fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is greater than 75.8. O The sample data support the claim of the alternative hypothesis that the population mean is greater than 75.8.
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Tree-ring dates were used extensively in archaeological studies at Burnt Mesa Pueblo. At one site on the mesa, tree-ring dates (for many samples) gave a mean date of μ₁ = year 1259 with standard deviation ₁ = 35 years. At a second, removed site, the tree-ring dates gave a mean of μ₂ = year 1101 with standard deviation ₂ = 35 years. Assume that both sites had dates that were approximately normally distributed. In the first area, an object was found and dated as x₁ = year 1202. In the second area, another object was found and dated as x₂ = year 1246. The Standard Normal Distribution (u= 0, σ = 1) O -3 -2 O 0 68% of area 95% of area 99.7% of area 2 (a) Convert both X₁ and X₂ to z values, and locate both of these values under the standard normal curve of the figure above. (Round your answers to two decimal places.) Z1 = Z2 3 (b) Which of these two items is the more unusual as an archaeological find in its location? O x₁; the further a z value is from zero, the more unusual it is. X₂i the…
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You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 73.5 Ha:µ + 73.5 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 61 mean: M = 76 standard deviation: SD = 18.1. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... less than (or equal to) a greater than a This leads to a decision to... reject the null accept the null fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is not equal to 73.5. The sample data support the claim of the alternative hypothesis that the population mean is not equal to 73.5.
During an economic crisis, the average value of homes in a community of 36 homes lost $9284 with a standard deviation of $1450. The average home value in the region lost $8790. Was this community of 36 homes unusual? Use a t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test. H0: μ ▼ less than< greater than> equals= not equals≠ nothing HA: μ ▼ less than< not equals≠ greater than> equals= nothing The test statistic is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What is the conclusion of the test? Was the average loss observed significantly different from the region value? ▼ Fail to reject Reject the null hypothesis because the P-value is ▼ greater less than the given significance level, and conclude that the…
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A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 94 bolts. The sample mean bolt length was 19.06 centimeters. The population standard deviation is known to be o = 0.26 centimeters. What is the test statistic z? Ex: 1.23 What is the p-value? Ex. 0.123 Does sufficient evidence exist that the length of boltş is actually greater than the mean value at a significance level of a = 0.01?[ Select v

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