Find the following probabilities based on the standard nom answers to 4 decimal places.) a P(Z >0.68) b. P(Zs-2.05) CP(0sZs 1.58)
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- answer 3.3 and 3.4. Answer in detailed and complete solutionMatt thinks that he has a special relationship with the number 2. In particular, Matt thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Matt will roll a 2. (a) State the null and alternative hypotheses for testing Matt's claim. (Type the symbol "p' for the population proportion, whichever symbols you need of " "not" and express any values as a fraction e.g. p = 1/3) Ho = H₂ = (b) Now suppose Matt makes n = 38 rolls, and a 2 comes up 8 times out of the 38 rolls. Determine the P-value of the test: P-value= (c) Answer the question: Does this sample provide evidence at the 5 percent level that Matt rolls a 2 more often than you'd expect? (Type: Yes or No)Need the H0 and H1 values. Can use != for not equal to.
- Participants threw darts at a target. In one condition, they used their preferredhand; in the other condition, they used their other hand. All subjects performed inboth conditions (the order of conditions was counterbalanced). Their scores areshown below.Preferred Non-preferred12 77 911 813 1010 9a. Which kind of t-test should be used?b. Calculate the two-tailed t and p values using this t test.c. Calculate the one-tailed t and p values using this t test.The probabilities of all the values of a random variableX must: OA. average to a small and negative number. OB. add up to 1. OC. average to 0. D. none of the above,what is p(z<?)=0.88
- Sean thinks that he has a special relationship with the number 6. In particular, Sean thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pis the true proportion of the time Sean will roll a 6. (a) State the null and alternative hypotheses for testing Sean's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "-", "not =" and express any values as a fraction e.g. p = 1/3) Ho= Ha (b) Now suppose Sean makes n = 30 rolls, and a 6 comes up 6 times out of the 30 rolls. Determine the P-value of the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when finding the P-value. P-value = ⠀⠀ (c) Answer the question: Does this sample provide evidence at the 5 percent level that Sean rolls a 6 more often than you'd expect? (Type: Yes or No) 4Use the following information to answer A-C. The table below shows the probablity of a certain number of students having fatigue. (Out of 4 randomly selected students)/ x P(x) 0 0.10 1 0.20 2 0.35 3 0.30 4 0.05 A) What is the probability that more than 2 of 4 randomly selected students have fatigue? B) What is the mean (to the nearest 0.1) number of students with fatigue out of 4 randomly selected students? C) What is the standard deviation (to the nearest 0.1) of the number of students with fatigue out of 4 randomly selected students? [Show all work with a table or formula]I need help with this question.