2. Sketch the piecewise function. ?(?) = { |? + 2|, ??? ? ≤ 0 √?...
2. Sketch the piecewise function. ?(?) = { |? + 2|, ??? ? ≤ 0 √? + 2, ??? 0 < ? < 4 −(? − 5) 2 + 3, ??? ? ≥ 4
-
Find the probability of a Type II error.
Lower tail = -1.753
Upper tail = 0
β = P(-1.753 ≤ X ≤ 0 when μ = 0.2)
= 0.3451
-
Find the power of the test procedure.
Power = 1 - probability of a type II error
= 1 - 0.3451
= 0.6549
Homework Answers
The piecewise graph is the graph of different functions for different range of X values.
#1 please and the answer should be in the form of a piecewise function (2n 1)2nn! 2 V2T n=0 Since this is an alterna...
#1 please and the
answer should be in the form of a piecewise function
(2n 1)2nn! 2 V2T n=0 Since this is an alternating series (because the parity on the power on x means that will always have the same sign as r), then we can always use the estimates on alternating series which are quite strong to compute values of this sum Problems 1.)Find the probability density function for the random variable representing picking a random real number between...
2. Let X1,.n be a random sample from the density 0 otherwise Suppose n = 2m+...
2. Let X1,.n be a random sample from the density 0 otherwise Suppose n = 2m+ 1 for some integer m. Let Y be the sample median and Z = max(Xi) be the sample maximum (a) Apply the usual formula for the density of an order statistic to show the density of Y is (b) Note that a beta random variable X has density f(x) = TaT(可 with mean μ = α/(a + β) and variance σ2 = αβ/((a +s+...
Question 7 4 points Match up the following Test of this hypothes eqires 2-taled test with lower reject region bounded by esative critical alan upper rejoct region bounded by positive critical value 1...
Question 7 4 points Match up the following Test of this hypothes eqires 2-taled test with lower reject region bounded by esative critical alan upper rejoct region bounded by positive critical value 1.β 2. 1.B 3. pelue.α The probability of a tyee 2 error Test of this hyoothesi equires 1-tailed test with lower reject region bounded by negative critical value The power of a test Pejecting HoHo asel Reject H Test ofl this hyothesis requires 1-talled test with upper reject...
Sketch a graph of the following Piecewise Function 7 if < - 6 f(2) if 6<...
Sketch a graph of the following Piecewise Function 7 if < - 6 f(2) if 6< < 5 2 if x> 5 5 84 7 6 2+ 8 -6 -5-4-3 -2 7 7 8 4 5 6 Movie Night 7/5-50 West Street Condominium 50 West St. New York, NY
5. A bowl contains ten marbles of which 0 are white while the others are black....
5. A bowl contains ten marbles of which 0 are white while the others are black. In order to test the null hypothesis H0 : θ-1 against H1: θ > 1, five of the marbles are randomly drawn with replacement and the null hypothesis is rejected if at least two of the five drawn are white. (a) What is the probability of committing a Type I error? (21 (b) What is the probability of committing a Type II error when...
1. Sketch the Fermi-dirac probability function at T= 0 K and T=300 K for function of...
1. Sketch the Fermi-dirac probability function at T= 0 K and T=300 K for function of E above and below EF. 2. Find (EP) 3. Describe Fermi Energy. What are the significances of Fermi energy level in semiconductor device physics? 4. Sktech Density of State Diagram, Fermi-dirac probability function diagram vs. E from there sketch n(E)vs.E and p(E)vs. E for N-type and P-type semiconductors, respectively. 5. A semiconductor has the following parameters: a. Eg = 1.12 eV, x = 4.05...
Please show work. Thanks in advance. Question 5 (20 pts) You must decide which of two...
Please show work. Thanks in advance.
Question 5 (20 pts) You must decide which of two discrete distri- butions a random variable X has. We will call the distributions po and p. Here are the probabilities they assign to the values r of X. 2 Po P 0 1 2 0.1 0.1 0.2 0.1 0.3 0.2 3 4 5 0.3 0.1 0.1 0.1 0.1 0.1 6 0.1 0.1 You have a single observation on X and wish to test Ho:...
1. Sketch the Fermi-dirac probability function at T=0 K and T=300 K for function of E...
1. Sketch the Fermi-dirac probability function at T=0 K and T=300 K for function of E above and below EF. 2. Find f(EP). 3. Describe Fermi Energy. What are the significances of Fermi energy level in semiconductor device physics? 4. Sktech Density of State Diagram, Fermi-dirac probability function diagram vs. E from there sketch n(E)vs.E and p(E)vs. E for N-type and P-type semiconductors, respectively. 5. A semiconductor has the following parameters: a. Eg = 1.12 eV, x = 4.05 eV,...
Piecewise function f(t) = 1 when 0 < t < 1, and f(t) =-1 when-1 <...
Piecewise function f(t) = 1 when 0 < t < 1, and f(t) =-1 when-1 < t < 0. Also f(t) = 0 for any other t (t < 1 or t 2 1). Answer the following questions: 1. Sketch the graph of f (t) 2. Calculate Fourier Transform F(j) 3. If g(t) = f(t) + 1, what is G(jw), ie. Fourier transform of g(t)? 4, extra 3-point credit: h(t) = f(t) + sin(kt), find the Fourier Transform of h(t).
Can someone explain step by step 157. The power for a one-sided test of the null...
Can someone explain step by
step
157. The power for a one-sided test of the null hypothesis μ-10 versus the alternative μ-8 the probability of a is equal to 0.8. Assume the sample size is 25 and ơ-4. Type I error? A) 0.00042 B) 0.0486 C) 0.159 D) 0.799 What is 158. The power for a one-sided test of the null hypothesis μ-10 versus the alternative μ-8 is equal to 0.8. Assume the sample size is 25 and σ Type...
#1 please and the
answer should be in the form of a piecewise function
(2n 1)2nn! 2 V2T n=0 Since this is an alternating series (because the parity on the power on x means that will always have the same sign as r), then we can always use the estimates on alternating series which are quite strong to compute values of this sum Problems 1.)Find the probability density function for the random variable representing picking a random real number between...
2. Let X1,.n be a random sample from the density 0 otherwise Suppose n = 2m+ 1 for some integer m. Let Y be the sample median and Z = max(Xi) be the sample maximum (a) Apply the usual formula for the density of an order statistic to show the density of Y is (b) Note that a beta random variable X has density f(x) = TaT(可 with mean μ = α/(a + β) and variance σ2 = αβ/((a +s+...
Question 7 4 points Match up the following Test of this hypothes eqires 2-taled test with lower reject region bounded by esative critical alan upper rejoct region bounded by positive critical value 1.β 2. 1.B 3. pelue.α The probability of a tyee 2 error Test of this hyoothesi equires 1-tailed test with lower reject region bounded by negative critical value The power of a test Pejecting HoHo asel Reject H Test ofl this hyothesis requires 1-talled test with upper reject...
Sketch a graph of the following Piecewise Function 7 if < - 6 f(2) if 6< < 5 2 if x> 5 5 84 7 6 2+ 8 -6 -5-4-3 -2 7 7 8 4 5 6 Movie Night 7/5-50 West Street Condominium 50 West St. New York, NY
5. A bowl contains ten marbles of which 0 are white while the others are black. In order to test the null hypothesis H0 : θ-1 against H1: θ > 1, five of the marbles are randomly drawn with replacement and the null hypothesis is rejected if at least two of the five drawn are white. (a) What is the probability of committing a Type I error? (21 (b) What is the probability of committing a Type II error when...
1. Sketch the Fermi-dirac probability function at T= 0 K and T=300 K for function of E above and below EF. 2. Find (EP) 3. Describe Fermi Energy. What are the significances of Fermi energy level in semiconductor device physics? 4. Sktech Density of State Diagram, Fermi-dirac probability function diagram vs. E from there sketch n(E)vs.E and p(E)vs. E for N-type and P-type semiconductors, respectively. 5. A semiconductor has the following parameters: a. Eg = 1.12 eV, x = 4.05...
Please show work. Thanks in advance.
Question 5 (20 pts) You must decide which of two discrete distri- butions a random variable X has. We will call the distributions po and p. Here are the probabilities they assign to the values r of X. 2 Po P 0 1 2 0.1 0.1 0.2 0.1 0.3 0.2 3 4 5 0.3 0.1 0.1 0.1 0.1 0.1 6 0.1 0.1 You have a single observation on X and wish to test Ho:...
1. Sketch the Fermi-dirac probability function at T=0 K and T=300 K for function of E above and below EF. 2. Find f(EP). 3. Describe Fermi Energy. What are the significances of Fermi energy level in semiconductor device physics? 4. Sktech Density of State Diagram, Fermi-dirac probability function diagram vs. E from there sketch n(E)vs.E and p(E)vs. E for N-type and P-type semiconductors, respectively. 5. A semiconductor has the following parameters: a. Eg = 1.12 eV, x = 4.05 eV,...
Piecewise function f(t) = 1 when 0 < t < 1, and f(t) =-1 when-1 < t < 0. Also f(t) = 0 for any other t (t < 1 or t 2 1). Answer the following questions: 1. Sketch the graph of f (t) 2. Calculate Fourier Transform F(j) 3. If g(t) = f(t) + 1, what is G(jw), ie. Fourier transform of g(t)? 4, extra 3-point credit: h(t) = f(t) + sin(kt), find the Fourier Transform of h(t).
Can someone explain step by
step
157. The power for a one-sided test of the null hypothesis μ-10 versus the alternative μ-8 the probability of a is equal to 0.8. Assume the sample size is 25 and ơ-4. Type I error? A) 0.00042 B) 0.0486 C) 0.159 D) 0.799 What is 158. The power for a one-sided test of the null hypothesis μ-10 versus the alternative μ-8 is equal to 0.8. Assume the sample size is 25 and σ Type...
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