Two catalysts are being analyzed to determine how they affect the average yield of thechemical process. The higher the yield in percentage, the better the catalyst is. Catalyst Ais a commercial catalyst that is currently being used. Catalyst B is developed by ourresearch group based on a geopolymer material. The following table is the summarizedresult from the test runs in the pilot plant. Based on the normal probability plot, it is validto assume normal distribution from these data.sample mean92.094.0sample standard2.03.0deviationsample size1012Determine the computed p-value to test whether to reject the null hypothesis that there isno significant difference between the average yield from using catalyst A and B at 5 %level of significance.O 0.087O 0.015O 0.005O 0.053

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Answered: Two catalysts are being analyzed to…

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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4. Review the variance function for specific distributions. For Bernoulli, Poisson, Gamma, and Inverse Gaussian, what does the variance function say about our ability to predict the range of possible values? (This may be a little bit challenging; give it your best guess.)
Patients with two kinds of diagnoses were randomly assigned to one of three types of therapy and the effectiveness of the therapy was measured on a 1-to-15 scale (with a higher number indicating greater effectiveness). There were two patients per cell. Use the data available below to complete parts through (d) below. Click the icon to view the data table. Click here to view page 1 of the table of cutoff values for the F distribution. Click here to view page 2 of the table of cutoff values for the F distribution. Click here to view page 3 of the table of cutoff values for the F distribution. Click here to view page 4 of the table of cutoff values for the F distribution. (a) Carry out the analysis of variance (use the 0.05 significance level). Complete the analysis of variance table for the data set below. SS MS Source Columns Rows Interaction Within Total (Round to two decimal places as needed.) df F Data Table Diagnosis Diagnosis II Therapy A 5 1 11 7 Print Therapy B 7 5 12 Done…
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The average speeds of cars on a highway are distributed according to a normal distribution. Today, John is on his way to work. As he enters the highway, he notices a car speeding by at 150 km/hr. Ten seconds later, another car speeds by at 160 km/hr. John concludes that today, cars must be going faster for some reason. A few minutes later, John gets into a minor accident. Once again, he concludes that it was inevitable - he got into the accident because cars were driving faster today. Explain what fallacies - if any-are involved in both of John's claims. Is John justified in his conclusions?
Patients with two kinds of diagnoses were randomly assigned to one of three types of therapy and the effectiveness of the therapy was measure a 1-to-15 scale (with a higher number indicating greater effectiveness). There were two patients per cell. Use the data available below to comple parts (a) through (d) below. Click the icon to view the data table. Click here to view page 1 of the table of cutoff values for the F distribution. Click here to view page 2 of the table of cutoff values for the F distribution. Click here to view page 3 of the table of cutoff values for the F distribution. Click here to view page 4 of the table of cutoff values for the F distribution (a) Carry out the analysis of variance (use the 0.05 significance level). Complete the analysis of variance table for the data set below. SS MS F Source Columns Rows Interaction Within Total (Round to two decimal places as needed.) Data Table Diagnosis I Diagnosis II Therapy A 5 1 7 Print Therapy B 7 12 Done Therapy C 4282…
An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table: Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. What type of hypothesis test will allow us to reach a conclusion in the situation posed above? A. Variance test B. Unilateral for difference in proportions C. Bilateral for average difference D. Unilateral for change in effectiveness
Chapter 5, Section 2, Exercise 043 Hearing Loss in TeenagersA recent study1 found that, of the 1771 participants aged 12 to 19 in the National Health and Nutrition Examination Survey, 19.5% had some hearing loss (defined as a loss of 15 decibels in at least one ear). This is a dramatic increase from a decade ago. The sample size is large enough to use the normal distribution, and a bootstrap distribution shows that the standard error for the proportion is SE=0.009.Find a 95% confidence interval for the proportion of teenagers with some hearing loss.Round your answers to two decimal places.The 95% confidence interval is to .
Biologists and ecologists record the distributions of measurements made on animal species to help study the distribution and evolution of the animals. The African ¯nch Pyrenestes ostrinus is interesting because the distribution of its bill size has two peaks even though other body measurements follow Normal distributions. For example, a study in Cameroon found that the wing length of male ¯nches varies according to a Normal distribution with mean 61.2 mm and standard deviation 1.8 mm. (a) What proportion of male ¯nches have wings longer than 65 mm? (b) What is the wing length that only 2% of male finches exceed?
Question 4
The popularity of computer, video, online, and virtual reality games has raised concerns that they might negatively affect youth. The data in this exercise are based on a recent survey of 14- to 18-year-olds in Connecticut high schools. The table displays the grade distributions of boys who have and have not played video games. Played games Never played games A's and B's: C's: A's and B's D's and F's: 744 210 Grade Average C's 445 140 D's and F's Find the conditional distribution of grades (the response variable) for nonplayers. Give your answers to two decimal places. 197 84 % % %
An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. The test statistic that will determine if there is a difference in the effectiveness of the two vaccines..... A. 2,579 B. 2.76 C. 0.58 D. 0.787

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