Suppose the researcher had wished to test the following hypotheses.Ho: H1 H2 vs. Ha: 1 * 2Based on the confidence interval you obtained early,O a. we would reject the null hypothesis of no difference at the 0.05 level.O both a and b are correct.O neither a nor b is correct.O b. the P-value is less than 0.05. The circumference of a particular species of tree was thought to be different depending on certain geographical factors. An SRS of 60 trees isselected in Sequoyah National Forrest, where it is found that ₁ = 6 meters with a standard deviation s₁ = 3 meters. A second SRS of size 41 isindependently selected in Yellowstone National Forrest, and it is found that 2 = 4 meters with a standard deviation s₂ = 2 meters. Let u₁ andM₂ represent, respectively, the true mean circumferences of this particular species of tree. Assume the two-sample t-procedures are safe to use.A 95% t-confidence interval forO2±0.97O2±0.84O 2 ± 1.01O 2 ± 1.35на - Наis (use conservative degrees of freedom)

Construct the 95% confidence interval for the difference between the population means when…

Answered: The circumference of a particular…

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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Using a long rod that has length m, you are goingto lay out a square plot in which the length of eachside is m. Thus the area of the plot will be m2.However, you do not know the value of m, soyou decide to make n independent measurementsX1, X2,... Xn of the length. Assume that each Xihas mean m (unbiased measurements) and variance s2.a. Show that X2 is not an unbiased estimatorfor m2. [Hint: For any rv Y, E(Y2) ¼V(Y) + [E(Y)]2. Apply this with Y ¼ X.]b. For what value of k is the estimator X2 - kS2unbiased for m2? [Hint: Compute E(X2 - kS2).]
Central Limit Theorem 2.) A ski gondola in Vail, Colorado that carries skiers up a mountain bears a plaque stating thatthe maximum capacity is 12 people or 2004 lb. A worst-case scenario would be 12 adult malepassengers, since they tend to be heavier than women or children. Assume adult male weightsare normally distributed with a mean of 188.6 lb. and standard deviation of 38.9 lb.a.) If 12 men weighed exactly 2004 lb., what would be the average weight?b.) Find the probability that a single man will have a weight greater than your result from part(a).c.) Find the probability that 12 randomly selected men will have a weight greater than yourresults from part (a).d.) Does the gondola appear to have the correct weight limit? Why or why not?
The WISC-IV is a standardised instrument for measuring IQ in children. The population M = 100 and SD = 15. If a child scores 85 on the WISCIV then what % of children in the %3D population have a higher IQ? а. 60% ОБ. 90% О с. 84% O d. 75%
5) Which type of data is provided in the scenario given below? a.) neither accurate nor precise b.) accurate, but not precise c.) precise, but not accurate d.) precise and accurate
4. An angle was measured six times, the observed values being 49°23'00", 49°23'20", 49°22'40", 49°22'20",49°23'40". and 49°24'00". Calculate the most probable value of the angle and the standard deviation (error) of the measurement.
For a population with a mean equal to 200 and a standard deviation equal to 30, calculate the standard error of the mean for the following sample sizes. a) 20 b) 40 c) 60 a) The standard error of the mean for a sample size of 20 is (Round to two decimal places as needed.) b) The standard error of the mean for a sample size of 40 is (Round to two decimal places as needed.) c) The standard error of the mean for a sample size of 60 is
The power of the slope t-test is NOT determined by: A)direction of slope B) sample size C) effect size D) alpha
The α angle of a triangle ABC was measured 50 times with a theodolite to obtain the following values (In the table, after the first value, only the last two digits of the measured angle are written). a) Calculate the mean value and standard deviation of the angle α using the relevant formulas (write the standard deviation in cc) b) For the angle α, create the frequency table of the sample set given in the question and draw the frequency histogram. c) Find the confidence intervals of 0.95 of the mean value of the angle α and its variance.
The ratio of the lengths of the second and the fourth fingers, denoted 2D:4D, is an indicator of the level of prenatal testosterone. It is known that higher prenatal testosterone levels are associated with a lower 2D:4D value. Since testosterone levels are known to be related to behavioural traits, it has been conjectured that certain types of aggressive and dominant behaviours may be associated with lower 2D:4D values. van der Meij et al. (2012) conducted a study that investigated the possible relationship between 2D:4D and so-called "sociable" and "aggressive" dominance. For the study, 84 male students completed two questionnaires, measuring sociable and aggressive dominance respectively, on which high scores related to increased aggression. After some adjustments, a score between 1 and 6 was recorded for each subject on each questionnaire. The participants' hands were scanned and measurements taken, on which a 2D:4D measure could be recorded per subject by averaging the ratio for…
A grouped frequency distribution has been obtained for the number of personnel working in 100 workplaces. Accordingly, the average number of personnel per enterprise is calculated as x̄ = 48.98. So what is the value of ∑ ni?
3. The weights of a new species of durian have a mean of 2 m and a standard deviation of 40 cm.100 samples of 50 durians each are measured. Find the number of samples expected when the sample mean is a. greater than 2.5 m b. between 1.80 m and 2.5 m
Need only handwritten solution only (not typed one).

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