In an experiment to determine the effect of catalyst on the yield of a certain reaction, theyieldsforeach of four catalystsweremeanreactionsrunwithX = 89.88, X = 89.51, X = 86.98, and X, = 85.79. Assume that five runs were madewith each catalyst.If MSE = 3.85, compute the value of the F statistic for testing the null hypothesis thatall four catalysts have the same mean yield. Can this null hypothesis be rejected at the5% level?%3Da.b. Use the Tukey-Kramer method to determine which pairs of catalysts, if any, may beconcluded to differ at the 5% level.

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Answered: In an experiment to determine the…

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 random sample is obtained from a population with a mean of µ 20. After a treatment is administered to the individuals in the sample, the sample mean is M = 21.3 with a variance of s2 = 9.
A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x1 be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x2 be the empathy score of a father. A random sample of 30 mothers gave a sample mean of x, = 67.85. Another random sample of 25 fathers gave x2 = 61.72. Assume that o, = 10.85 and oz = 10.57. (a) Let µ̟ be the population mean of x, and let uz be the population mean of x2. Find a 90% confidence interval for H1 - H2. (Use 2 decimal places.) lower limit upper limit
The null hypothesis: H. :|| The alternative hypothesis: H :0 1 The type of test statistic: (Choose one) v The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we reject the researchers' claim that the mean recovery time when treated with multivitamin is less than or equal to the mean recovery time when treated with vitamin C only? Yes No
A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x1 be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x2 be the empathy score of a father. A random sample of 33 mothers gave a sample mean of x1 = 69.72. Another random sample of 36 fathers gave x2 = 59.72. Assume that σ1 = 11.55 and σ2 = 11.45. Let μ1 be the population mean of x1 and let μ2 be the population mean of x2. Find a 99% confidence interval for μ1 – μ2. (Round your answers to two decimal places.) upper limit? lower limit?
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Two separate samples are selected from the same population. Each have an n=8. Both samples receive a different treatment. After the treatment, the first sample has SS=16 and the second sample has SS=24. With a mean of 3 for the first group and mean of 6 for the second group, compute the t statistic. State the conclusion of these findings.
Compute E(310) for the following model, where & wn(0, 0.16), i.e., a white noise process with mean zero and variance 0.16. Please give the exact answer. 1 Me=Mt-2+ Ct, 30 = 1.
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A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n=10n=10 in each sample. The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). The dependent variables is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. Fill in all missing values in the table. (Hint: Start with the df column.) S.S. d.f. M.S. F Between 6.68 Within 4.35 TOTAL Use the =FDIST() function in Excel to locate the p-value for this ANOVA:p-value = Report p-value accurate to at least 6 decimal places.If you use a significance level of α=.05α=.05, what would you conclude about these treatments?
Q5: The theory that resistance by mosquitoes to an insecticide is due to a single dominant gene has been examined. Homozygous resistant mosquitoes were crossed with homozygous susceptible mosquitoes to give A heterozygous population. These were crossed to the homozygous susceptible population. Of this back cross progeny 465 were exposed to the insecticide, 264 died. Is the percentage killed significantly different to the percentage predicted by the model?
A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x, be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x, be the empathy = 68.36. Another random sample of 31 fathers gave score of a father. A random sample of 37 mothers gave a sample mean of x, X, = 60.06. Assume that o, = 11.55 and o, = 11.45. (a) Let u, be the population mean of x, and let u, be the population mean of x,. Find a 99% confidence interval for u, - Hz. (Round your answers to two decimal places.) lower limit upper limit (b) Examine the confidence interval and explain what it means in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you about the relationship between average empathy scores for mothers compared with those for fathers at the 99% confidence level? Because the interval contains only…
A researcher conducts a two-year study comparing the number of cavities in a group of 30 randomly selected young children from the community before and after the application of fluoride to test if there is a decrease in the number of cavities. This is an example of a/an: Independent-samples t test or Dependent-samples t test?

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