step by step please Consider the accompanying data on plant growth after the application of different types of growth hormone.1:12 187132: 201419 183:1715 20 174:712179.5:711159.n USE SALT(a) Perform an F test at level a = 0.05. State the appropriate hypotheses.O Hoi H1# Hz # Hz# Hq# Hg: at least two µ;'s are equalHoi H1 = Hz = H3 = H4 = H5%3D: all five u,'s are unequalHoO Ho: H1 = H2 = H3 = H4= H5: at least two u's are unequalHo: Hq# Hz # HzH: all five u;'s are equalCalculate the test statistic. (Round your answer to two decimal places.)f =What can be said about the P-value for the test?P-value > 0.100O 0.050 < P-value < 0.100O 0.010 < P-value < 0.050O 0.001 < P-value < 0.010P-value < 0.001

There are 5 independent samples which are different types of growth hormones. We have to test…

Answered: Consider the accompanying data on plant…

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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Consider the following 10 measurements about the cohesion of a soil: 12 kPa, 14 kPa, 15 kPa, 14.5 kPa, 16.0 kPa, 18 kPa, 15 kPa, 16.2 kPa, 17. 6 kPa, 13 kPa. Work out the solutions of the following two problems, assuming the cohesion follows the normal and lognormal distributions, respectively. (1) Draw the PDF of the cohesion; (2) Evaluate the probability that the cohesion based on the PDF is less than 5 kPa, 10 kPa, and 15 kPa; (3) Assess the effect of the type of distribution on the results.
The tests of assumptions for yield gave values for Levene’s statistic and Shapiro-Wilk’s as 0.0562 and .00271, respectively. At a=0.05 , which statistical test is most appropriate to compare the yield among the nitrogen rates? a. Cochran’s Q B. Friedman’s C. Kruskal Wallis test . D. Anova F-test
A random sample of 50 students was asked to estimate how much money they spent on textbooks in a year. The sample skewness of these amounts was found to be 0.83 and the sample kurtosis was 3.98. Test at the 10% level the null hypothesis that the population dis- tribution of amounts spent is normal.
You are conducting quality control for a company that manufactures LED displays. The factory you are assessing is supposed to have a manufacturing defect rate of 1 in 100 LED displays. As part of your assessment, you want to verify this defect rate by analyzing a random sample of LED displays. You are planning to randomly sample 1500 displays from this factory and observe how many of them contain manufacturing defects. Let Zi be equal to 1 if the i’th display has a defect and 0 otherwise, for i = 1,...,1500. (a) What is the statistic that you will use to estimate the defect rate for this factory? How do you compute it using Z1, Z2, . . . , Z1500? (b) Assuming that the true defect rate for this factory is in fact 1 in 100 displays, can we approximate the sampling distribution of the statistic that you selected in part (a) using a normal distribution? Please state and check the requirements for applying the approximation, and identify the mean and standard deviation of the normal…
Are seatbelts effective at saving lives? We wish to examine whether or not the use of seatbelts reduces fatalities at the alpha = 0.05 level of significance. Let p N represent the proportion of non-seatbelt wearing passengers who were involved in a crash and died and represent the proportion of seatbelt wearing passengers who were involved in a crash and died. 1. Which would be correct hypotheses for this test? H 0 :p N =p Y ,H 1 :p N <p Y O H 0 :p N =p Y ,H 1 :p N ne p Y H 0 :p N =p Y ,H 1 :p N > mathfrak P Y O H 0 :p N ne p Y , H 1 :p N >p Y In a random sample of 335 non-seatbelt wearing passengers involved in a car crash, 34 were killed. In a random sample of 398 seatbelt wearing passengers involved in a car crash , 18 were killed. 2. Find the test statistic (2 decimal places) 3. Give the P-value (4 decimal places) please only answer 2 and 3!
A theoretical justification based on a certain material failure mechanism underlies the assumption that ductile strength X of a material has a lognormal distribution. Suppose the parameters are μ = 4.8 and σ = 0.11. 1. Compute E(X) and V(X). (Round your answers to three decimal places.) 2. Compute P(X > 125). (Round your answer to four decimal places.) 3. Compute P(110 ≤ X ≤ 125). (Round your answer to four decimal places.)
Data from the 2014 General Social Survey (GSS) show that out of n=1,606 adult respondents, the proportion who reported having voted for Barack Obama in the 2008 presidential election was 0.61 Q: If I calculate a z test static of 4.84, and my alpha = 0.05, what decision should I make about the hypothesis? (Calculate the p-value for a 2-sided test to make your decision.) Options: A: fail to reject the null hypothesis that the proportion of American adults who voted for Obama in 2008 was 0.55 B: reject the null hypothesis that the proportion of American adults who voted for Obama in 2008 was 0.55 C: Reject the alternative hypothesis that the proportion of American Adults who voted for Obama in 2008 was not equal to 0.55 D: Fail to reject the alternative hypothesis that the proportion of American adults who voted for Obama in 2008 was not equal to 0.55
Dr. Chapman conducted an experiment in which participants watched paint dry for 30 minutes twice, once being paid $1 and once being paid $30. When comparing the samples, he calculated t = 3.57. He assumed α = .01 with df = 5, so the tcv = ±4.032. Because the calculated value was: A. greater than the critical value, Dr. Chapman can reject the null hypothesis. B. greater than the critical value, Dr. Chapman failed to reject the null hypothesis. C. less than the critical value, Dr. Chapman failed to reject the null hypothesis. D. less than the critical value, Dr. Chapman can reject the null hypothesis.
a. Which of the two excel outputs above is the correct result of the data?b. What is the appropriate set of hypotheses for this test?c. From the given results above, which test is appropriate to test the significant difference between the heat-producing capacities of the coal from the mines?d. What is the t- critical value?e. What is the p-value?f. At α=0.05, what is the correct decision?
From a random sample of 100 households in a local community, observed counts are shown in the table. The expected counts are from national data. Complete the table. (Enter: Calculated Chi Sq to three decimal places. (enter the critical Chi Sq exactly as in the tables) At alpha=5%, should the null hypothesis be rejected? Children per household 0 1 2 3 or more Observed 25 30 35 10 Expected 18 25 39 18 Calculated Chi Sq _____ Degrees of freedom _____ Tabulated Chi Sq _____ Reject? Y or N _____
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 research question is whether attractiveness affects the behavior of infants lookingat photographs of women’s faces. The researcher is expecting the infants to prefer themore attractive face. Therefore, the researcher predicts that the infants will spendmore than half of the 20-second period looking at the attractive face. Specifically, the researcher tested a sample of n = 9 infants and obtained a mean of M = 13 seconds looking at the attractive face with SS = 72. Report the critical t-value for the alpha level at 0.01.

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