1) Hypothesis Testing for Population Mean: Population Variance Knowna) A restaurant claims that there is an average of 20g of sugar in each slice of their cheesecake.A testing agency purchases 28 slices and finds an average of 22g of sugar per slice. It is knownthat the sugar content is normally distributed with σ = 5g. Does the sample seem to indicatethat the average sugar content in this restaurant's cheesecake is not 20g? Let α = 0.05.Circle the correct null and alternative hypotheses.i)Нo μ = 20H : μ = 20Ho μ = 20Η : μ < 20Η : μ # 20Н₁ μ> 20ii)What is the significance level?iii)Which test statistic will you use? Circle your answer.ᏃTx²iv)Calculate the value of the test statistic for the engineer's sample.v)Determine the critical value of the test statistic. Do not round or truncate.vi) Determine the P-value. Do not round or truncate.vii)What is the conclusion?Circle your response.Accept HoReject HoFail to reject Hoviii)Does the sample seem to indicate that theaverage sugar content in this restaurant'scheesecake is not 20g? Circle your response.YESNO

The test is to check if there is an average 20g sugar in each slice of cheesecake.We have:sample…

Answered: 1) Hypothesis Testing for Population…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that o = 7.60 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. 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.) n is large the distribution of weights is normal o is known the distribution of weights is uniform o is unknown (c) Interpret your results in the context of this problem. The probability that this interval contains the true average…
The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At a = 0.01, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 12.1 8.9 11.8 8.4 7.2 10.1 12.1 8.7
T-TEST FOR INDEPENDENT MEANS 1. Two types of instruments for measuring the amount of sulfur monoxide in the atmosphere are being compared in an air pollution experiment. It is desired to determine whether the types of instruments yield measurement having the same variability. The following readings were recorded for the instrument. Sulfur Monoxide Instrument A Instrument B 0.86 0.87 0.82 0.74 0.75 0.63 0.61 0.55 0.89 0.76 0.64 0.70 0.81 0.69 0.68 0.57 0.65 0.53 Assuming the population of measurements to be approximately normally distributed, test the null hypothesis using two tailed test at 0.05 level of significance.
Average Family Size The average family size was reported as 3.18 . A random sample of families in a particular school district resulted in the following family sizes: 5 4 5 4 4 3 6 4 3 3 5 5 6 3 3 2 4 5 2 2 2 3 2 Send datato Excel At =α0.10 , does the average family size differ from the national average?Assume the population is normally distributed. Use a TI-83 Plus/TI-84 Plus calculator
Psi is a measure of compressive strength, or the ability of the material to carry loads and handle compression. The desired concrete psi rating used for sidewalks and residential driveways ranges from 2500psi to 3000psi obtained from mixing cement, stone, and sand in different ratios but with the same amount of water. The summary of the psi's of three (3) such concrete mixes made by three (3) different civil engineering students is given as follows: Mean vector: The variance-covariance matrix: Concrete mix Mean Concrete mix 1 Concrete mix 2 Concrete mix 3 Concrete mix 1 | Concrete mix 2 2700 18 12 2 3000 12 16 3 2400 Concrete mix 3 16 25 Let the random variable Y be the vector of the psi's of concrete mixes obtained by the students, i.e. Y1, denotes the psi of concrete mix made by student 1, Y2 is the psi of concrete mix made by student 2 and Y3 is the psi of concrete mix psi made by student 3. (a) Find (i) the multivariate probability distribution function (pdf) of Y. (ii) the…
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 48 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 8.00 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) Z=0.005 (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. 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.) the distribution of volumes is normal ✔ is known o is unknown the distribution of volumes is…
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The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 15% of UGPAs? (b) Between what two values does the middle 50% of the UGPAs lie? 3.3042.6Grade point average μ=3.30 σ=0.16 x A normal curve labeled mu = 3.30 and sigma = 0.16 is over a horizontal x-axis labeled Grade point average from 2.6 to 4 in increments of 0.35 and is centered on 3.30. (a) The minimum UGPA that would still place a student in the top 15% of UGPAs is enter your response here. (Round to two decimal places as needed.)

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