Q1(10). Manatees are one creature found in coastal waterways. To study this creature,a random sample of 12 manatees were selected, the sample manatees were releasedbefore their weights (in pounds) were carefully recorded: 956, 1012, 954, 988, 973,1048, 1075, 1064, 856, 1026, 1031, 1064. Assuming the underlying distribution ofmanatee weights is normal.1(5). Find a 95% confidence interval for the true mean weight.2(5). In a similar study 10 yearsago, researchers concluded that the true mean weightof manatees was approximately 1000 pounds. Implement a hypothesis test to verify ifthere is any evidence to suggest the true mean weight is less than 1000 pounds now.Solve the hypothesis using P-value method. Let a = 0.05.

Answered: Image /qna-images/answer/e39f6851-d78d-4d59-a4ee-6b455f8175c3.jpg

Answered: Q1(10). Manatees are one creature found…

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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When dragons on the fictional planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 32% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 48 of the dragon eggs to incubate. Consider all the possible samples of 48 dragon eggs. Round answers to 4 decimal places. a) Compute the mean number of yellow eggs in samples of 48 eggs? (that is the same as asking for the expected value of the number of yellow eggs)mean = b) Compute the standard deviation in the number of yellow eggs in samples of size 48?standard deviation = c) Compute the variance in the number of yellow eggs in samples of size 48?variance =
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The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. A) find the mean of p b)find the standard deviation of p c)Compute an approximation for P≥p0.0125, which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(P ≥ 0.0125), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
Twenty different statistic students are randomly selected. For each of them,their body temperature (° F) is measured and their head circumference (in) ismeasured. Without doing any research or calculations, estimate the value of r. Forthis sample of paired data, what does r represent?
Researchers have been studying acorns produced by trees in a certain region. The acorns are used as a food source by various animals. The researchers have recorded the mass of a random sample of acorns (displayed below). Acorn mass (grams): 4.1, 4.22, 3.9, 3.79, 4.09, 4.1, 4.03, 4.02, 3.78, 3.74, 3.72 Checksum: 43.49 Resample the sample (bootstrap) (link to program) with 1000 iterations to create a 90% confidence interval for the mean mass of all acorns: Result: The researchers can be 90% confident that the mean mass of all acorns in this region is between and grams.
Q1-5: Given the following data from a sample of sizen= 7 12 7 49073 The third qoartile is: Select one: O a. 4 O b. 7 O c. 8 O d. 9
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A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age. x1: Rate of hay fever per 1000 population for people under 25 100 92 122 127 93 123 112 93 125 95 125 117 97 122 127 88 A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old. x2: Rate of hay fever per 1000 population for people over 50 93 112 100 97 111 88 110 79 115 100 89 114 85 96 State the null and alternate hypotheses. H0: ?1 = ?2; H1: ?1 ≠ ?2 H0: ?1 > ?2; H1: ?1 = ?2 H0: ?1 = ?2; H1: ?1 > ?2 H0: ?1 = ?2; H1: ?1 < ?2 What sampling distribution will you use? What assumptions are you making? The standard normal. We assume that both population distributions are approximately normal with known standard deviations. The Student's t. We assume that both population distributions are approximately normal with known standard deviations. The Student's t. We assume that…
A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen, resulting in the accompanying data. 1.16 5.09 0.97 1.59 4.60 0.32 0.55 1.45 0.16 4.47 1.20 3.50 5.02 4.67 5.22 2.69 3.97 3.17 3.03 2.21 0.69 4.47 3.31 1.17 0.77 1.17 1.57 2.62 1.66 2.05 The values of the sample mean, sample standard deviation, and (estimated) standard error of the mean are 2.484, 1.612, and 0.294, respectively. Does this data suggest that the true average percentage of organic matter in such soil is something other than 3%? Carry out a test of the appropriate hypotheses at significance level 0.10. [Note: A normal probability plot of the data shows an acceptable pattern in light of the reasonably large sample size.] State the appropriate hypotheses. ⒸH₁: μ = 3 H₂:μ # 3 OH:μ #3 Ha: μ 3 t = P-value = Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal…

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