1. In an effort to determine whether a new type of fertilizer is more effective than the typecurrently in use, researchers took twelve 2-acre plots of land scattered throughout the county.Each plot was divided into two equal-sized subplots, one of which was treated with the currentfertilizer and the other of which was treated with the new fertilizer. Wheat was planted, and thecrop yields measured. These data are in the table belowNew Fertilizercurrent Fertilizer3936756844778785969085846560a. Can we conclude at the 5% significance level that the new fertilizer ismore effective than the current one?, That is to say , test the hypothesisНо: и — и, — 0 versus Ha: д — и, >0 for a %3D.05.b. Estimate with 95% confidence the difference in mean crop yieldsbetween the two fertilizers.

Given : Claim : The new fertilizer is more effective than the current one.

Answered: Can we conclude at the 5% significance…

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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The least-squares regression line for predicting y = clutch size from x = snout-vent length is = -144 + 6.123 x. The paper also reported r2 = 0.7499 and SSTo = 46419. Find the value of se (the sample size was n = 14). (Give the answer to two decimal places.)
From this table, you obtain the necessary statistics for the ANOVA: F-ratio: 5.5493625094323 p-value: 0.00099 η 2 = 0.044200642667663. What is your final conclusion? Use a significance level of α = 0.05. Explain what this tells us about the equality of means.
Cans of LaCroix are supposed to contain 355 milliliters (ml). There is some variation for each can because the filling machinery is not perfectly precise. An inspector measures the contents (in ml) of 12 randomly selected cans from a single day's production. x = 352.9 Sx=2.19 Do these data provide convincing evidence at the a = 0.01 significance level that the mean amount of LaCroix in all the cans filled that day is less than the target value of 355 ml? (6pt) STATE: State hypotheses, parameters), significance level, and evidence for Ha Parameter: Statistic: Hypotheses: Significance level: Evidence for Ha: (mean less than sample) (2pt) PLAN: Identify the appropriate inference method and check conditions. Name of procedure: Check conditions: Random Sample: Normal / Large Sample: Describe what is shown.
A study was done to compare the birth weight of newborn babies from the general population to a group of 24 babies born to mothers who smoked during pregnancy. The researcher was testing her prediction of an average lower birth weight for babies born to smokers. The mean birth weight in the population was reported to be 3.5 kg and birth weight in the sample was M = 3.0 kg. Results from the t-test used in data analysis showed a t-value = 5.35, p = .02. No calculations are required here. Type in your answers to the following questions in the space below. 1) which of the 3 t-tests is the proper one to use? 2) Write the Null and Alternative Hypotheses for this study in a sentence, including the value of mu. 3) Write an APA conclusion for this study to report the results. This sentence should include the IV and DV, significance, APA stats, and the M.
A previous study showed to determine whether a sales tax on soda will reduce consumption of soda in the US below the current per-capita level of about 50 gallons of soda per year. Hypotheses Test is Ho: m(mue) =50 vs. Ha: m<50 where m (mue) represents the average annual consumption of soda in communities where the sales tax is implemented. (a) Supposed sample results give a p-value of 0.02. Interpret this p-value in terms of random chance and in the context of taxes and soda consumption.
The mean for the number of pets owned per household was 2.1. A poll of 1023 householdsconducted this year reported the mean for the number of pets owned per household to be 2.Assuming σ = 1.1, is there sufficient evidence to support the claim that the mean number ofpets owned has changed since at the α = 0.05 level of significance? Use the p-value approach and clearly specify each step.
A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence assuming s=16.5 based on earlier studies? Suppose the doctor would be content with 95% confidence. How does the decrease in confidence affect the sample size required?
Estimate the effects of each variable in the attached table in terms of a hazard ratio and provide 95% confidence intervals for each of the point estimates
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use a cutoff value of 5%.
In a sample of 8 observations, the sum of squared deviations of items from the mean was 84.4. In another sample of 10 observations, the value was found to be 102.6. Test whether the difference is significant at 5% level. You are given that at 5% level, critical value of F for V1 = 7 and v2 = 9 degrees of freedom is 3.29 and for V1 = 8 and V2 = 10 degrees of freedom, its value is 3-07.
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Can we conclude at the 5% significance level that the new fertilizer is more effective than the current one?, That is to say , test the hypothesis Ho: 4 - H2 Estimate with 95% confidence the difference in mean crop yields = 0 versus Ha: µ, – µ, >0 for a =.05.