The masses of mango are normally distributed with a mean, u and variance, o?. Fora random sample of size m, the 90% confidence interval for the population mean is(h,k). For another random sample of size n, the 95% confidence interval for thepopulation mean is (p,g). The length of interval (hk) is equal to the interval (p.g).4(a)(1)Show that k-h = 3.29-(ii)Findm(b)A company produces cylindrical metal rods. The diameters of rods have a normaldistribution with mean ucm and variance o? cm?. A random sample of 100 rods istaken and the diameter x, in cm, of each rod is measured. The results are summarisedas Σx- 5.1 and Σ-27.303(i)Calculate the mean and variance of the population of the diameters of therods(iii) Determine a 95% confidence interval for the mean diameter of the rods.(iv) Investigate, at the 1% significance level, whether the mean diameter of therods is 0.512 cm.

Here AS PER QUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION (B AND C ARE TOTALLY DIFFERENT) HERE…

Answered: The masses of mango are normally…

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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Use the t-distribution to find a confidence interval for a difference in means y, - M, given the relevant sample results. Give the best estimate for 41 - M2, the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed. A 99% confidence interval for My - A using the sample results x1 = 546, S, = 117, m, = 340 and X2 = 451,52 = 90, M2 = 200 Enter the exact answer for the best estimate and round your answers for the margin of error and the confidence interval to two decimal places. Best estimate = Margin of error = Confidence interval
This column contains data x1, . . . , xn, which is assumed to be a sample from a normal distribution N(µ, σ 2 ). For this sample, find the maximum likelihood estimates µˆ and σˆ.
Assume that we want to construct a confidence interval. Which letter is correct? The confidence level is 99%, σ=3624 thousand dollars, and the histogram of 60 player salaries (in thousands of dollars) of footbal players on a team is as shown. a) find the critical value tα/2 b) find the critical value zα/2 c) neither the normal distribution nor the t distribution applies.
(Mathematical Statistics) Let X1,X2,...,X5 be a random sample of the Gamma distribution with parameters a = and ß = 0, e > 0. Determine the 95% confidence interval for the parameter e based on the statistic E(i=1 - 5) Xi. 2
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Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 133133 to 190190 cm and weights of 3737 to 150150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x overbarxequals=168.08168.08 cm, y overbaryequals=81.5781.57 kg, requals=0.3130.313, P-valueequals=0.0020.002, and ModifyingAbove y with caretyequals=negative 108−108plus+1.121.12x. Find the best predicted value of ModifyingAbove y with carety (weight) given an adult male who is 169169 cm tall. Use a 0.050.05 significance level. The best predicted value of ModifyingAbove y with carety for an adult male who is 169169 cm tall is (answer) kg. (Round to two decimal places as needed.)
A sample of n = 10 scores has M = 58, s =12.65, and an estimated standard error of 4 points. Which of these values will definitely decrease if the sample size is increased to n = 1007 Show answer choices v
find a 95% confidence interval for each pair difference. Recall that a confidence interval for μi−μj can be constructed as follows. ( ̄xi− ̄xj)±t∗√MSE(1ni+1nj) TheMSE is the mean square error from the ANOVA table. The t^* is from the t-distribution with n−k degrees of freedom, where n is the total sample size and k the number of groups. Between Low and Medium levels of calcium. Between Low and High levels of calcium. Between Medium and High levels of calcium. Calcium GillRate Low 55 Low 63 Low 78 Low 85 Low 65 Low 98 Low 68 Low 84 Low 44 Low 87 Low 48 Low 86 Low 93 Low 64 Low 83 Low 79 Low 85 Low 65 Low 88 Low 47 Low 68 Low 86 Low 57 Low 53 Low 58 Low 47 Low 62 Low 64 Low 50 Low 45 Medium 38 Medium 42 Medium 63 Medium 46 Medium 55 Medium 63 Medium 36 Medium 58 Medium 73 Medium 69 Medium 55 Medium 68 Medium 63 Medium 73 Medium 45 Medium 79 Medium 41 Medium 83 Medium 60 Medium 48…
IF n < 30 AND T = Ý−µ -H, √n SHOW HOW THE 100(1-2x)% CONFIDENCE INTERVAL FOR U IS DERIVED
The pulse rates of 176 randomly selected adult males vary from a low of 40 bpm to a high of 116 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 95% confidence that the sample mean is within 2 bpm of the population mean. Assume that o= 10.1 bpm, based on the value s = 10.1 bpm from the sample of 176 male pulse rates
Use a t-distribution to find a confidence interval for the difference in means μ = μ₁ −μ₂ using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using d = x₁ - x₂. A 95% confidence interval for µå using the paired difference sample results ād Give the best estimate for μd, the margin of error, and the confidence interval. Enter the exact answer for the best estimate, and round your answers for the margin of error and the confidence interval to two decimal places. Best estimate = Margin of error: = The 95% confidence interval is i to i = : 3.1, Sa = : 2.3, na = 30.

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