A melting point test of n = 10 samples of a binder used on manufacturing a rocket propellant resulted in x = 154.2 °F. Assume thatthe melting point is normally distributed with o = 1.5 °F.For (b) and (c), round your answers to 4 decimal places (e.g. 98.7654). For (d), give an integer answer.(a) Test Ho: μ = 155 versus H₁ :μ ‡ 155 using a = 0.01.Ho(b) What is the P-value for this test? Use a z-score with two decimal places. i(c) What is the ß-error if the true mean is μ = 150? Assume that a = 0.01. i(d) What value of n would be required if we want ß < 0.15 when μ = 150? Assume that a = 0.01. i

Given Information: Sample size n=10 Sample mean x¯=154.2 Population standard deviation σ=1.5

Answered: A melting point test of n = 10 samples…

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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A melting point test of n = 10 samples of a binder used in manufacturing a rocket propellant resulted in a sample mean of 154.6 °F. Assume that the melting point is normally distributed with σ = 1.5°F. Is it possible to conclude at 1% significance that the melting point is not 155°F? What is the value of zcalc ? Please report your answer in 3 decimal places.
A pharmcuticle company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of Mercury) for 9 patients before taking the new drug and 2 hours after taking the drug are shown in the table below. is there enough evidence support the company's claim? Let D =(blood pressure before taking new drug)- (blood pressure after taking new drug).use significant levels of a=their 0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patience both Before & After taking the new drug. 1.State the null and alternative hypothesis for the test. 2. Find the value of the standard deviation of the paired differences. Round to one decimal place. 3.compute the value of the test statistic. Round to three decimal places 4.determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to three decimals. 5.make decision for the hypothesis test.
The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.2508 in. and std. dev. 0.0005 in. The specification on the shaft have been established as (0.25-0.0015 in, 0.25+0.0015in) If the process mean has been adjusted to 0.25 in, what fraction of the shafts produced does NOT conform to specifications? a). 0.0027 b). 0.0013 c).0.08 d). 0.16
Long-distance runners have contended that moderate exposure to ozone increases lungcapacity. To investigate this possibility, a researcher exposed 12 rats to ozone at the rateof 2 parts per million for a period of 30 days. The lung capacity of rats was determined atthe beginning of the study and again after the 30 days of ozone exposure. The lungcapacities (in mL) are given here:(a) If we can assume normality, is there sufficient evidence to support the conjecture thatozone exposure increases lung capacity? Use α = 0.01? b) Estimate the size of the increase in lung capacity after exposure to ozone. Use a 99%confidence interval.
A researcher is testing the effect of a new cold and flu medication on reaction time. A sample of n = 16 students is obtained and each student is given the normal dose of the medicine. Thirty minutes later, each student's reaction time is measured. The scores for the sample averaged M = 220 milliseconds with SS = 6000. Assuming that reaction time for students in the regular population averages μ = 200 milliseconds, are the data sufficient to conclude that the medication has a significant effect on reaction time? Test at the .05 level of significance. Make a point estimate and a 95% confidence interval estimate for the treated population mean.
Consider a random sample X1,...,Xn (n > 2) from Beta(θ,1), where we wish to estimate the parameter θ. (a) Find the MLE θˆ and write it as a function of T = − ∑ni=1 log Xi. (b) Find the sampling distribution of T = − ∑ni=1 log Xi . (Hint: First find the distribution of Ti = − log Xi .)
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A CI is desired for the true average stray-load loss ? (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with ? = 2.2. (Round your answers to two decimal places.) (a) Compute a 95% CI for ? when n = 25 and x = 53.7. , watts(b) Compute a 95% CI for ? when n = 100 and x = 53.7. , watts(c) Compute a 99% CI for ? when n = 100 and x = 53.7. , watts(d) Compute an 82% CI for ? when n = 100 and x = 53.7. , watts(e) How large must n be if the width of the 99% interval for ? is to be 1.0? (Round your answer up to the nearest whole number.)n = You may need to use the appropriate table in the Appendix of Tables to answer this question.
4. A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 6 new rackets at 68 psi. Suppose the two-tailed P-value for the test described above (obtained from a computer printout) is 0.07. Find the conclusion for the test at the 5% significance level.
The molecular weight of a particular polymer should fall between 750 and 1,035. Thirty samples of this material were analyzed with the results X-bar = 902 and s = 90. Assume that molecular weight is normally distributed.
A new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the diamonds is greater than 0.5 karat. To evaluate the profitability of the process, six diamonds are generated, with recorded weights 0.46, 0.61, 0.52, 0.48, 0.57 and o.54 karat. Do the six measurements present sufficient evidence to indicate that the average weight of the diamonds produced by the process is in excess of 0.5 karat? Use 5% level of significance
A random sample of CO2 levels in a school has a sample mean of x¯=598.4 ppm and sample standard deviation of s=86.7 ppm. Use the Empirical Rule to determine the approximate percentage of CO2 levels that lie between 338.3 and 858.5 ppm.

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