It is desired to test whether the number of gamma rays emitted per second by a...
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with σ = 0.32 and that x = 5.22. (Use α = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. H0:...
2. For determining the half-lives of radioactive isotopes, it is important to know what the background radiation is for a given detector over a certain period. A γ -ray detection experiment is conducted over 300 one-second intervals (sample g1). Generate the sample using the R codes below: set.seed(12345678) g1 = rpois(300,3) State the sample (g1) that you obtained. Do these look like observations of a Poisson random variable with mean λ = 3? To answer this question, do the following:...
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.32 and that x = 5.21. (Use ? = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. H0:...
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with σ = 0.30 and that x= 5.23. (Use α-0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses Hai μ < 5.5...
27. A researcher claims that the number of motor vehicle crash deaths is consistent across age groups. The table shows the results of a random sample of motor vehicle crash deaths by age group. Are the numbers of crash deaths significantly different by age group, using a 0.05 level of significance? (15 points – Show your work!) Age Group: 16-24 25-34 35-44 45-54 55-64 65-74 75 and older Total # of Crash Deaths 135 131 97 109 100 65 63...
Answer the question True or False. 15) The Wilcoxon rank sum test is used to test the hypothesis that the probability distributions associated with two populations are equivalent. A) True B) False 16) The Wilcoxon rank sum test is recommended for comparing discrete distributions. A) True B) False 17) 17) When performing a rank test comparing two populations, we rank the sample observations from both populations as though they were drawn from the same population. A) True B) False 18)...
Question 1 of 4 For the following observed and expected frequencies: Observed 39 43 42 109 Expected 38 48 45 S 6 Download data Test the hypothesis that the distribution of the observed frequencies is as given by the expected frequencies. Use thea -0.025 level of significance and theP-value method with the TI-84 calculator Part 1 State the null and alternate hypotheses. Ho: The distribution of the observed frequencies ts H1: The distribution of the observed frequencies differs from that...
1) Answer the question True or False. 1) Nonparametric methods focus on the location of the probability distribution, rather than on specific parameters of the population. A) True B) False 2) Nonparametric tests are useful for qualitative data that can be ranked. A) True B) False 3) The sign test provides inferences about the population median rather than the population mean. A) True B) False 4) For a sign test to be valid, a large sample must be selected from...
6. Pedestrian Deaths A researcher wanted to determinse whether pedestrian deaths were uniformly distributed over the days of the week. She randomly selected 300 pedestrian deaths, recorded the day of the week on which the death occurred, and obtained the following results (the data are based on information obtained from the Insurance Institute for Highway Safety) Day of the Week Sunday Monday Tuesday Wednesday Frequency Day of Frequency the Week Thursday Friday Saturday 41 49 61 39 40 30 40...
Calculate the mean, median, and standard deviation for the total number of candies (per bag). Construct a histogram of the total number of candies (per bag). Use the z-score method to identify any potential outliers and outliers. Assume the total number of candies is normally distributed, calculate the probability that a randomly sampled bag has at least 55 candies in a bag. If a random sample of 50 bags is selected, find the probability that the mean number of candies...