Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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Chapter 10.2, Problem 19E
To determine
Find a value for SSE, such that,
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Suppose μ1 and μ2 are real average stopping distances at 50 mph of a certain type of car equipped with two different types of braking systems. Use the two-sample t test at the 0.01 significance level to test H0: (μ1 - μ2 = -10) vs. Ha: (μ1 - μ2 < -10) for the following data: m = 6 ; x̄ = 115,7 ; s1 = 5,03 ; n = 6 ; ȳ = 129,3 and s2 = 5,38 .
Using the above data and calculating a 95% CI for the difference between the actual average stopping distance of cars equipped with brake system 1 and cars with brake system 2. The calculated range suggests that accurate information about the value of this difference is available? From this information, it is possible to mark the alternative as correct:
a) The calculated range is (-13.50, -11.80). With this range, even with values so close, it is not possible to say that precise information is available.
b) The calculated range is (-20.40, -6.80). With this interval, even being so wide, it is possible to affirm that accurate information is…
Chapter 10 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
Ch. 10.1 - In an experiment to compare the tensile strengths...Ch. 10.1 - Suppose that the compression-strength observations...Ch. 10.1 - The lumen output was determined for each of I = 3...Ch. 10.1 - It is common practice in many countries to destroy...Ch. 10.1 - Consider the following summary data on the modulus...Ch. 10.1 - The article Origin of Precambrian Iron Formations...Ch. 10.1 - An experiment was carried out to compare...Ch. 10.1 - A study of the properties of metal plate-connected...Ch. 10.1 - Six samples of each of four types of cereal grain...Ch. 10.1 - In single-factor ANOVA with I treatments and J...
Ch. 10.2 - An experiment to compare the spreading rates of...Ch. 10.2 - In Exercise 11, suppose x3. = 427.5. Now which...Ch. 10.2 - Prob. 13ECh. 10.2 - Use Tukeys procedure on the data in Example 10.3...Ch. 10.2 - Exercise 10.7 described an experiment in which 26...Ch. 10.2 - Reconsider the axial stiffness data given in...Ch. 10.2 - Prob. 17ECh. 10.2 - Consider the accompanying data on plant growth...Ch. 10.2 - Prob. 19ECh. 10.2 - Refer to Exercise 19 and suppose x1 = 10, x2 = 15,...Ch. 10.2 - The article The Effect of Enzyme Inducing Agents...Ch. 10.3 - The following data refers to yield of tomatoes...Ch. 10.3 - Apply the modified Tukeys method to the data in...Ch. 10.3 - The accompanying summary data on skeletal-muscle...Ch. 10.3 - Lipids provide much of the dietary energy in the...Ch. 10.3 - Samples of six different brands of diet/imitation...Ch. 10.3 - Although tea is the worlds most widely consumed...Ch. 10.3 - For a single-factor ANOVA with sample sizes Ji(i =...Ch. 10.3 - When sample sizes are equal (Ji = J). the...Ch. 10.3 - Reconsider Example 10.8 involving an investigation...Ch. 10.3 - When sample sizes are not equal, the non...Ch. 10.3 - In an experiment to compare the quality of four...Ch. 10.3 - Prob. 33ECh. 10.3 - Simplify E(MSTr) for the random effects model when...Ch. 10 - An experiment was carried out to compare flow...Ch. 10 - Cortisol is a hormone that plays an important role...Ch. 10 - Numerous factors contribute to the smooth running...Ch. 10 - An article in the British scientific journal...Ch. 10 - Prob. 39SECh. 10 - Prob. 40SECh. 10 - Prob. 41SECh. 10 - The critical flicker frequency (cff) is the...Ch. 10 - Prob. 43SECh. 10 - Four types of mortarsordinary cement mortar (OCM)....Ch. 10 - Prob. 45SECh. 10 - Prob. 46SE
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- Suppose μ1 and μ2 are real average stopping distances at 50 mph of a certain type of car equipped with two different types of braking systems. Use the two-sample t test at the 0.01 significance level to test H0: (μ1 - μ2 = -10) vs. Ha: (μ1 - μ2 < -10) for the following data: m = 6 ; x̄ = 115,7 ; s1 = 5,03 ; n = 6 ; ȳ = 129,3 and s2 = 5,38 . After the calculations performed, it is possible to mark the alternative as correct: a) Test t = -1.25; the calculated degree of freedom v= 8.06; p-value = 0.03; therefore we reject H0 for the 0.05 significance level. b) Test t = 2.15; the calculated degree of freedom v= 9; p-value = 0.13; therefore we accept H0 for the 0.01 significance level. c) Test t = -1.20; the calculated degree of freedom v= 9.96; p-value = 0.130; therefore we accept H0 for the 0.01 significance level. d) Test t = -1.20; the calculated degree of freedom v= 9.96; p-value = 0.130; therefore we reject H0 for the 0.01 significance level. e) Test t = -1.25; the calculated…arrow_forwardTwo brands of tyres are tested with the following results: Life(in’000 miles) Brand of TyresX Y20-25 1 025-30 22 2430-35 64 7635-40 10 040-45 3 0 a. Which brand of tyres have greater average life?b. Compare the variability and state which brand of tyres would you use on yourfleet of trucks?arrow_forwardTwo different formulas of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road octane number for formula 1 is o? = 1.5, and for formula 2 it is o, the mean octane numbers observed are = 89.5 fluid ounces and I2 = 93.1 fluid ounces. Assume normality. = 1.2. Two random samples of size n1 = 15and n2 = 20 are tested, and (a) Test the hypotheses Ho : H1 H2 versus H1 : µ1 < µ2 using a = 0.05. Round your answer to three decimal places (e.g. 98.765). %| Zo v Ho. (b) Calculate a 95% two-sided confidence interval on the mean difference road octane number, x1 – X2. Round your answer to three decimal places (e.g. 98.765).arrow_forwardAn agronomist randomly selected 20 matured calamansi trees of one variety and have a mean height of 10.8ft with standard dev of 1.25ft, while another 12 randomly selected calamansi trees of another variety have a mean height of 9.6ft with standard dev of 1.45ft. Test whether the difference of 2 sample means is significant at α = 5%.arrow_forwardTwo different formulations of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road octane number for formulation 1 is o? = 2.2 and for formulation 2 it is o = 1.8. Two random samples of size n = 42 and %3D n2 = 45 are tested, and the mean road octane numbers observed %3D are X = 89.6 and X, = 92.5. Assume the samples are random and independent from a normal population. Construct an 80% two-sided confidence interval on the difference in mean road octane number. < 1 - H2<arrow_forwardThe least-squares regression line for predicting y = clutch size from x = snout-vent length is = -144 + 6.123 x. The paper also reported r2 = 0.7499 and SSTo = 46419. Find the value of se (the sample size was n = 14). (Give the answer to two decimal places.)arrow_forwardFrom the above design, identify the factors and indicate whether they are fixed or random effectsarrow_forwardAccording to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33. Suppose a random sample of 109 traffic fatalities in a certain region results in 45 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the x = 0.01 level of significance? Because npo (1-P) requirements for testing the hypothesis (Round to one decimal place as needed.) = 10, the sample size is satisfied. 5% of the population size, and the sample thearrow_forwardAccording to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.34. Suppose a random sample of 113 traffic fatalities in a certain region results in 52 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the x = 0.05 level of significance? Because npo (1-Po) = 25.4 > 10, the sample size is sample is given to be random, satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: versus H₁: (Type integers or decimals. Do not round.) less than 5% of the population size, and the the requirements for testing the hypothesis arearrow_forwardAccording to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.34. Suppose a random sample of 113 traffic fatalities in a certain region results in 52 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the x = 0.05 level of significance? Because npo (1 - Po) = 25.4 > 10, the sample size is sample is given to be random, satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? less than 5% of the population size, and the the requirements for testing the hypothesis are Ho: P = 0.34 versus H₁: p > 0.34 (Type integers or decimals. Do not round.) Find the test statistic, Zo Zo = (Round to two decimal places as needed.)arrow_forwardAccording to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.34. Suppose a random sample of 109 traffic fatalities in a certain region results in 50 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the x = 0.01 level of significance? Because npo (1-Po) = 24.5 > 10, the sample size is (Round to one decimal place as needed.) What are the null and alternative hypotheses? p = 0.34 versus H₁: p > 0.34 Ho: p (Type integers or decimals. Do not round.) Find the test statistic, Zo. Zo = 2.62 (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis are satisfied.arrow_forwardAccording to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.34. Suppose a random sample of 109 traffic fatalities in a certain region results in 50 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the x = 0.01 level of significance? Because npo (1-Po = 24.5 > 10, the sample size is (Round to one decimal place as needed.) What are the null and alternative hypotheses? p = 0.34 versus H₁: p> 0.34 Ho: P (Type integers or decimals. Do not round.) Find the test statistic, Zo. Zo (Round to two decimal places as needed.) = less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis are satisfied.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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