4. An experiment carried out twice produces the following results:12±29 ± 3.Calculate the weighted mean result and its uncertainty. What are the 90% confidence limits.on the weighted mean? (By x% confidence limits we mean the (usually symmetric) boundarieswithin which x% of the area falls. Hint: 11.645 exp (−z²/2) dz = 0.90.)

Step 1:Step 2:Step 3:Step 4:Final answer: weights are w1 = 0.25, w2 = 0.111weighted mean result is…

Answered: 4. An experiment carried out twice…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be 108.6, and the sample standard deviation is found to be 19.6. Is the population mean greater than 100 at the α = 0.01 level of significance? Determine the null and alternative hypotheses. Ho: μ = 100 H₁: μ> 100 Compute the test statistic. to = 2.78 (Round to two decimal places as needed.) Determine the P-value. The P-value is 0.004. (Round to three decimal places as needed.) What is the result of the hypothesis test? the null hypothesis because the P-value is the level of significance. At the α = 0.01 level of significance, the population mean less than 100. different from 100. greater than 100. less than 108.6. different from 108.6. greater than 108.6.
Give a 98% confidence interval, for μ1−μ2 given the following information. n1=45 xbar1=2.62, s1=0.8n2=60n xbar = 3.02, s2=0.67 ____ ±± ____ Use Technology Rounded to 2 decimal places.
Determine whether the event described are independent or dependent. Then find the probability of the event Randomly drawing and immediately eating three red M&Ms in a row from a bag that contains 10 red M&Ms out of 30 M&Ms total
answer 1
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
a. What is the value of the standard error of the estimate (to 4 decima b. Test for a significant relationship by using thet test. Use a = 0.05. %3D What is the value of the t test statistic (to 2 decimals)? What is the p-value? Use Table 2 of Appendix B. Select your answer - What is your conclusion (a = 0.05)? %3D Select your answer - c. Use the F test to test for a significant relationship. Use a = 0.05.
4
Ee.79. Suppose that a car races down a ¼-mile drag strip several times and that it takes an average of 11.4 s to do so. If the standard deviation is σ=0.2 s, what fraction (or percent) of the measurements would you expect to be between 11.3 s and 11.5 s?
How would I find the answer with my TI-84?I have no idea what to do after getting P(Z< -1.55).....? Mean is 11.1Standard Deviation: 4.5n = 40I got so far: 10-11.1 = -1.1 / 4.5 divided by the square root of 40so around : -1.55
You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 25 bacteria reveals a sample mean of ¯x=78x¯=78 hours with a standard deviation of s=4.2s=4.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.75 hours at a 95% level of confidence. (Hint: Use your s as a reasonable estimate for σσ .) What sample size should you gather to achieve a 0.75 hour margin of error? Round your answer up to the nearest whole number.
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.78. (c) How large a sample size is necessary if the width of the 95% interval is to be 0.31? (Round your answer up to the nearest whole number.) ? specimens (I have answers for a, b, and d I just need help with c, the answer is not 24.32)

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