An article in the ASCE Journal of Energy Engineering describes a study of the thermal inertiaproperties of autoclaved aerated concrete used as a building material. Five samples of the materialwere tested in a structure, and the average interior temperatures (°C) reported were as follows: 23.01,22.22, 22.04, 22.62, and 22.59. Test the hypotheses Ho: u = 22.5 versus H2: µ # 22.5, using a =0.05.a. Test on Mean, Variance Unknownb. Test on Variance and Standard Deviationc. Test on Population Proportiond. Test on Mean, Variance Known

We have given that Sample size n =5 Population mean =22.5

Answered: an article in the ASCE Journal of…

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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Under current Major League Baseball rules, a baseball must weigh approximately 5 ounces. One team, who shall remain unidentified, is accused of using "heavy" baseballs to enhance pitching velocity. An MLB executive weighs a random sample of 26 baseballs from that team's clubhouse and records the following summary statistics: y= 5.3 ounces s= 0.6 ounces A hypothesis test is conducted based on the following null and alternative hypotheses: Ho: H=5 ounces HA:H>5 ounces Using complete sentences, explain a Type I and Type Il error in context of this scenario.
An article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp. 59-75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures ('C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. Test the hypotheses Họ: µ=22.5 versus H1: µz 22.5, using a=0.05. Find the P-value.
According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits about 8.9 kg of CO2. A fuel company wants to test a new type of gasoline designed to have lower CO2 emissions. Here are their hypotheses: Ho : µ = 8.9 kg Ha : µ < 8.9 kg (where is the mean amount of CO2 emitted by burning one gallon of this new gasoline). Under which of the following conditions would the company commit a Type I error?
1. An article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp. 59-75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures (•C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. 1.1. Test the hypotheses H0 : µ =22.5 versus H1 :µ + 22.5, using a=0.05. Find the P-value 1.2. Explain how the question could be answered by constructing a two-sided confidence interval on the mean interior temperature. Find the confidence interval.
A study was done to compare the flu incidence rates at the sart and at the end of winter of a given year. A sample of 100 persons were asked for incidence of flu twice: once at the start and once at the end of winter. Sample data were as follows: a. Give 99% CI for the difference in flu incidence rates at the start and at the end of winter? b. Compute a measure of association between flue incidence at the start and at the end of winter?
An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Beverage Sample Size Sample Mean Sample SD Strawberry Drink 10 535 24 Cola 10 559 15 Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. (Use ? = 0.05.) State the relevant hypotheses. (Use ?1 for the strawberry drink and ?2 for the cola.) H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≥ 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject H0. The data suggests that cola has a higher average compression strength than the strawberry drink.Reject H0. The…
2. Two kinds of bumper guards, six of each kind, were mounted on a certain make of compact car. Each car was then run into a concrete wall at 5 miles per hour and the costs of repairs (in dollars) was recorded. Summary of the data is shown below. n = 6 i = 144 si = 363.20 n =6 i = 149 si = 202.00 Test at the 0.02 level of significance whether it is reasonable to assume that the two populations sampled have equal variances.
The article refered to in Exercise 1 also considered the effect of gypsum on the electric conductivity (in dS m) of soil. Two types of soil were each treated with three different amounts of gypsum, with two replicates for each soil-gypsum combination. The data are presented in the following table. Soil Type Gypsum (g/kg) Las Animas Madera 0.00 1.52 1.05 1.01 0.92 0.27 1.49 0.91 1.12 0.92 0.46 0.9 0.92 0.88 0.92 Is there convincing evidence of an interaction between the amount of gypsum and soil type? Can you conclude that the conductivity differs among the soil types? Can you conclude that the conductivity differs with the amount of gypsum added? C.
According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits about 8.9 kg of CO2. A fuel company wants to test a new type of gasoline designed to have lower CO2 emissions. Their hypotheses are Ho : µ = 8.9 kg and H, : µ < 8.9 kg. where u is the mean amount of CO, emitted by burning one gallon of this new gasoline. Suppose that Ho is actually true. Which situation below would have the lowest probability of a Type I error? Choose 1 answer: n = 20 and a = 0.01 n = 50 and a = 0.05 n = 75 and a = 0.10
Bob is investigating whether new restrictions on waste product disposal from poultry farms have reduced Nitrogen pollution in nearby aquifers. From prior measurements, the researcher knows that an average of 14.5 pounds of nitrogen per acre foot of water was present before the restrictions were enacted. The researcher randomly selects 11 aquifers and collects one sample from each aquifer. The resulting values were used to produce this output. Hypothesis test results: H: mean of variable H) : μ 14.5 HA : μ< 14.5 Variable Sample Mean Standard Deviation T-Stat Nitrogen 13.2 2.4 ??? The test-statistic for this hypothesis test is missing. Find this value. Round your answer to 3 decimal places. You may assume the nitrogen content within aquifers is normally distributed. Answer:
Cindy is a server at a local restaurant who makes, on average, $58 in tips per daytime shift. Cindy thinks she will make more if she moves to the nighttime shift. Her manager will choose five random nighttime shifts for Cindy to work. Cindy plans to conduct a significance test on the hypotheses H0: mu = 58; Ha: mu > 58 at the alpha = 0.05 level, where is the true mean amount of tips Cindy will make working nighttime shifts. Are the conditions for performing the test met? No, the 10% condition is not met. No, the sample size is too small, and a Normal distribution cannot be assumed. Yes, all conditions are met for performing a significance test about the mean. Yes, only the random condition must be met in order to perform a significance test. No, there is no way the manager could choose a random sample of shifts to work.
Hydrogen content is conjectured to be an important factor in porosity of aluminum alloy castings. An article gives the accompanying data on x = content and y = gas porosity for one particular measurement technique. 0.18 0.20 0.21 0.21 0.21 0.22 0.23 0.23 0.24 0.24 0.25 0.28 0.30 0.37 0.48 0.71 0.42 0.44 0.55 0.44 0.24 0.48 0.22 0.82 0.86 0.72 0.70 0.74 Minitab gives the following output in a response to a Correlation command: Correlation of Hydrcon and Porosity = 0.425 (a) Test at level 0.05 to see whether the population correlation coefficient differs from o. State the appropriate null and alternative hypotheses. O Ho: p = 0 Hip 0 O Ho: p = 0 Hip + 0 O Ho: p+0 Hip = 0 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Fail to reject H: The data does not suggest that the population correlation coefficient differs significantly…

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