(c) Finding the value of the test statisticSince we're assuming the null is true, we use μ = 36. We also have that x = 32, s = 11, and n = 14. So we get the following.32-3611✓√14tx-μS√n≈ 1.361 The Journal de Botanique reported that the mean height of Begonias grown while being treated with aparticular nutrient is 36 centimeters. To check whether this is still accurate, heights are measured for arandom sample of 14 Begonias grown while being treated with the nutrient. The sample mean and samplestandard deviation of those height measurements are 32 centimeters and 11 centimeters, respectively.Assume that the heights of treated Begonias are approximately normally distributed. Based on the sample,can it be concluded that the population mean height of treated begonias, µ, is different from that reported inthe journal? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carryyour intermediate computations to three or more decimal places.MATLBUCh

Given Mean(x)=32standard deviation(s)=11sample size(n)=14α=0.10

Answered: The Journal de Botanique reported that…

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 size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.7 mm and a standard deviation of 4.4 mm. (Round your answers to four decimal places.)
The warranty on a car battery is 30 months. If the breakdown times of this battery are normally distributed with a mean of 40 months and a standard deviation of 8 months, determine the percent of batteries that can be expected to require repair or replacement under warranty. what % of batteries can be expected to require repair or replacement under warranty. (Round to two decimal places as needed.)
The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.7 mm and a standard deviation of 4.4 mm. (Round your answers to four decimal places.) n USE SALT (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm?
A sports writer wants to see if a football filled with helium travels farther, on average, than a football filled with air. 12 footballs were filled with helium to the recommend pressure and 15 footballs were filled with air to the recommended pressure. The mean yardage for the helium filled footballs was 267 yards with a standard deviation of 3 yards. The mean yardage for the air filled footballs was 241 yards with a standard deviation of 5 yards. Assume the populations are normal with equal variances. (a). Construct a 99% confidence interval for the mean difference in in yardage for the two types of footballs Lower bound (use 3 decimal places) Upper bound (use 3 decimal places) (b). What can you conclude about the sports writer's idea that helium footballs travel farther, on average? The helium footballs are no different than the other footballs, on average The other footballs travel farther on average than the helium footballs The helium footballs travel farther on average than the…
The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1775 pounds and a standard deviation of 70 pounds. The Español company believes that, due to an improvement in the manufacturing process, the mean breaking strength, µ, of the cables is now greater than 1775 pounds. To see if this is the case, 16 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1806 pounds. Assume that the population is normally distributed. Can we support, at the 0.10 level of significance, the claim that the population mean breaking strength of the newly- manufactured cables is greater than 1775 pounds? Assume that the population standard deviation has not changed. Perform a one-tailed test. Then complete the parts below. 00 Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H,…
In a certain country the heights of adult men are normally distributed with a mean of 70.2 inches and a standard deviation of 2.7 inches. The country's military requires that men have heights between 66 inches and 79 inches. Determine what percentage of this country's men are eligible for the military based on height. The percentage of men that are eligible for the military based on height is nothing%. (Round to two decimal places as needed.)
A fruit grower wants to test a new spray that a manufacturer claims will reduce the loss due to insect damage. She sprays 20 trees with the new spray and 20 trees with the standard spray. The following data were recorded: New Spray Standard Spray Mean yield per tree(lb) 240 227 Standard deviation 31.3 28.6 Do the data provide evidence that the new spray increases the yield per tree?
A reading class can read an mean of 175 words per minute and a population standard deviation of 20 words per minutes. The top 3% of the class is to receive a special award for a random sample of 49 students. What is the minimum average number of words per minute a student would need to read in order to get the award for a random sample of 49 students? Assume the data is normally distributed.
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1469 and a standard deviation of 296. The local college includes a minimum score of 1824 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?
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