Answered: (a) Find the critical z* for a level…

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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Find the critical value zα/2 needed to construct a(n) 98.3% confidence interval.
Find the 95% confidence interval for estimating the population mean μ If sample mean X = 50, sample size n= 60 and population standard deviation σ is known to be 10.
Suppose the fuel efficiency, in miles per gallon, of a certain model of car is normally distributed. For a random sample of cars of that model, the confidence interval (16.1, 18.1) is generated. Find the margin of error.(round to one decima)
What price do farmers get for their watermelon crops? In the third week of July, a random sample of 41 farming regions gave a sample mean of x bar = $6.88 per 100 pounds of watermelon. Assume that σ is known to be $1.94 per 100 pounds. (a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop (in dollars). What is the margin of error (in dollars)? (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $ (b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.39 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.) farming regions (c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop (in dollars). What is the margin of error (in dollars)? Hint: 1 ton…
Determine the t-score for a 95% confidence interval for a population mean from a sample of size 6. t = [three decimal accuracy]
FIND Za/2 FOR THE 86 % CONFIDENCE INTERVAL
Suppose one would like to contract a 99.9% confidence interval for a sample mean when the population standard deviation is known. Determine the Z value that would be used to contract such a confidence interval run the solution to two decimal places. Z=
Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.t Suppose a small group of 20 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with o = 0.32 gram. (a) Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) O normal distribution of weights Oo is known O n is large O o is unknown O uniform distribution of weights (c) Interpret your results in the context of this problem. O The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20. O we are 80% confident that the true average weight of Allen's hummingbirds falls…
In a large scale study of energy conservation in single family homes, 20 homes were randomly selected from homes built in a housing development in southern England. Ten of the houses, randomly selected from the 20 houses selected for the study, were constructed with standard levels of insulation (70 mm of roof insulation and 50 mm of insulation in the walls). The other 10 houses were constructed with extra insulation (120 mm of roof insulation and 100 mm of insulation in the walls). Each house was heated with a gas furnace and energy consumption was monitored for eight years. The data shown below give annual gas consumption in MWh for each of the 20 houses. Standard Insulation Extra Insulation 13.8 15.1 17.8 13.9 18.0 15.9 17.3 17.2 16.9 15.2 19.9 13.8 13.6 11.3 17.6 13.2 15.9 18.8 12.3 14.0 Sample means Sample Standard Deviation 16.31 14.84 2.38 2.12
What critical value t∗t∗ from Table C would you use for a confidence interval for the mean of the population in each of the following situations? (a)96% confidence interval based on n = 25 observations.(b) A 95% confidence interval from an SRS of 17 observations.(c) A 90% confidence interval from a sample of size 13.
Suppose that x = 11 observations possess the characteristic of interest from n = - 32 observations. Let p be the population proportion possessing the characteristic. (a) Compute a two-sided 99% confidence interval for p. (b) Compute a two-sided 95% confidence interval for p.
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value to/2. (b) find the critical value Zα/2, or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n=218, x = 30.4 hg, s = 7.6 hg. The confidence level is 99%. ... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. ta/2= (Round to two decimal places as needed.) OB. Za/2 (Round to two decimal places as needed.) OC. Neither the normal distribution nor the t distribution applies.

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(a) Find the critical z* for a level 96.5% confidence interval. z*= (b) Find the critical z* for a level 58% confidence interval. z*=

(a) Find the critical z* for a level 96.5% confidence interval. z= (b) Find the critical z for a level 58% confidence interval. z*=