1. Consider the following three step experiment:Step1: Choose a coin from a bag containing 10 coins, 9 of which are fair F,and the remaining unfair U with P(H) = 0.8.Step2: toss the chosen coin (can land H or T) in Step (1).Step 3: If the coin lands H we roll a fair 4-sided die with labels 1, 2,3, 4Else we roll a die with distribution12340.2 0.3 0.2 0.3Let E = Die rolls to an even number, and F = tossed coin is a fair coin, G = Coin lands heads.(a) Draw a labelled tree diagram for this experiment.(b) List out all outcomes in the events E, F, and G.Calculate P(E), P(F), P(G), P(E|F), P(F|G), P(E|G)(d) Are E and F independent? Are F and G independent? Are E and G indepen-dent?

The ProblemGiven:A bag containing 10 coins: 9 fair (F) and 1 unfair (U with P(H) = 0.8).A 4-sided…

Answered: 1. Consider the following three step…

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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In a hypothesis test for the population mean, when the population standard deviation (o) is unknown your test statistic has a distribution. t with n degrees of freedom O t with n-1 degrees of freedom O Z with n-1 degrees of freedom O none of these
The experiment chart below indicates the results after spinning the arrow ten times. (BB = blue, PP = pink, YY = yellow; so 3B3B means that the spinner landed on 3 which is blue.) Trial Number 1 2 3 4 5 6 7 8 9 10 Outcome 8Y8Y 6B6B 6B6B 1B1B 6B6B 2Y2Y 8Y8Y 3B3B 7P7P 1B1B Fill in the following chart for the probability of the results of the next spin. Event Write the probability notation using symbols.Use B for blue, P for pink, Y for yellow. Type the words "or" or "and" when needed and leave a space between letters and conjunctions. Experimental Probability(Enter as reduced fraction.) Theoretical Probability(Enter as reduced fraction.) Land on yellow Answer = Answer Answer Landing on blue and 3. Answer = Answer Answer Landing on a blue or a pink. Answer = Answer Answer Landing on a pink or an odd number. Answer = Answer Answer Landing of yellow and odd. Answer = Answer Answer
10. Professor Snape is your instructor for Chemistry 101. He has given the same final exam for his class for a long time; he happens to know that exam scores on this test are normally distributed and have a population mean of µ=80. Because of prior laboratory catastrophes (don’t worry, all students were returned to their original species), he tried a new method of instruction this year. He got a random sample of n=16 students and taught them using virtual reality. These students then took his original final exam, and their sample average was M=76. --------unique information for the second question below: -------- Assume for this second question that Snape’s final exam has a population standard deviation of σ=6. Can he demonstrate that the virtual reality instruction method was significantly different from his traditional teaching method? (Assume a two-tailed test with α=.05) Yes, he can conclude that his VR method is significantly different from his traditional…
2b)
Only parts D and E please.
2. Consider the following three step experiment: Step1: Choose a coin from a bag containing 10 coins, 5 of which are fair F, and the remaining unfair U with P(H) = 0.8. Step2: toss the chosen coin (can land H or T) in Step (1). Step 3: If the coin lands H we roll a fair 4-sided die with labels 3, 4 Else we roll a die with distribution - 1, 2, 1 2 3 4 0.2 0.3 0.2 0.3 1 Let E = Die rolls to an even number, and F = tossed coin is a fair coin, G Coin lands heads. (a) Draw a labelled tree diagram for this experiment. (b) List out all outcomes in the events E, F, and G. (c) Calculate P(E), P(F), P(G), P(E|F), P(F|G), P(E|G) (d) Are E and F independent? Are F and G independent? Are E and G indepen- dent?
16. The height of Iowa corn stalks (in cm) have a N(μ1,σ1) distribution, while the height of Nebraska corn stalks have a N(μ2,σ2) distribution. It is known that σ1 ̸= σ2. A random sample of corn stalks from Iowa and Nebraska yielded the following summary statistics. Iowa: n1 =15 x ̄1 =155 s1 =16 Nebraska: n2 =17 x ̄2 =145 s2 =10 Suppose we wish to test H0 : μ1 = μ2 versus Ha : μ1 doens't equal μ2 at the α = 0.10 significance level. What is the value of the test statistic (TS) and critical value (CV )? 17. In reference to question (16), which of the following is/are true? (A) The p − value ∈ (0.02, 0.025)(B) We have evidence that μ1 = μ2(C) There is a significant difference between μ1 and μ2 Answer choices: A) and (C) (B) and (C) (B) Only (C) Only (A) Only (A) and (B
10. Consider the following three step experiment: Step1: Choose a coin from a bag containing 10 coins, 9 of which are fair F, and the remaining unfair U with P(H) = 0.8. Step2: toss the chosen coin (can land H or T) in Step (1). Step 3: If the coin lands H we roll a fair 4-sided die with labels 1, 2, 3, 4 Else we roll a die with distribution 1 2 0.2 3 0.3 0.2 0.3 4 Let E = Die rolls to an even number, and F tossed coin is a fair coin, G = Coin lands heads. (a) Draw a labelled tree diagram for this experiment. (b) List out all outcomes in the events E, F, and G. (c) Calculate P(E), P(F), P(G), P(E|F), P(F|G), P(E|G) (d) Are E and F independent? Are F and G independent? Are E and G independent?
1. For a binomial experiment in which n = 25, Ho: π = 0.70, and y obs (the observed number of successes) = 20, a. Calculate the p-value for Ha: 0.70. b. Calculate the p-value for Ha: c. Calculate the p-value for H₂: π * 0.70.

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