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Need by 11:59AM CSTImage transcription textQuestion 34 (1 point) A random variable *has PDF f(z) =c(1-z), 0<=<1 where cis an unknown constant. What is the value of c that makes this a valid PDF? C c= 2 O C=el O c = 1/2 O C=4 Question 35 (1 point) The following is R output from a hypothesis test. 3 poop. Boat (x c(31, 231,nme(50, 50), alternative="lea="; 2-simple test for aquality of proportions with continuity correction data: c(31, 12) out of c(50, 50) X-squared = 2.5691, of = 1, p-value = 9.9455 alternative hypothesis: less 95 percent confidence interval; -1. 0640083 0. 3614975 sample estimates: prop 1 prop 2 0. 63 0.44 What are the null and alternative hypotheses? This test compare popart a between two peas. Call the wou popation , s, fiete Question 36 (1 point) The Stanford-Binet IQ test is scaled to follow a Normal distribution with a mean of 100 and a standard deviation of 15. What is the approximate probability a student scores above 70? O97.5% O 95% O2.5% Question 37 (1 point) Which measure of dispersion dowe use for a right-skewed distribution? Sample variance O Sample range Sample mode Sample IOR Question 38 (1 point) INES News publishes the following: "A survey of 1523 registered voters found 56% favored Candidate 2". The % of all registered voters that favors Candidate Z is an example of what? OA statistic O A population OA parameter. O A sample. Question 39 (1 point) Find EXX] for a random variable X with PMF P(X = I) = = = 0,1 O 1/2 O5/3 O1 2/3... Show moreImage transcription textQuestion 40 (1 point) A manager compares the revenues of Section 1 and Section 2 t. test (x-Sectionl, y-Sect font, alternative ."less") welch Two Sample t-test data: Section! and Section2 E =-5.0154, de - 94.945, p-value = 1.2290-06 alternative hypothesis: true difference in means is less than O 45 percent confidence interval: -Inf -0.6284834 sample estimates: mean of x mean at y 0.02540659 0.51030345 What do you canclude based on the confidence interval? We can be 95% confident that py - Ay is at most -0.628, or that u, is at least 0.628 smaller than jig. We can be 93%% confident that fig - J, is at most -0.628, of that joy is at least 0.628 smaller than jr We can be 95% confident that j - pig is at most -0.628, of that # is at least 0.628 larger than pa. Question 41 (1 point) A market research firm wants to estimate the average income of consumers using X+ Za/2 x The researcher wants the margin of error of the interval to be at most 0.1 at 95%% confidence. Suppose it is known that0=2 Calculate the minimum sample size in needed to guarantee this. 1537 O 1772 O39 Question 42 (1 point) Suppose 60% of customers at Tom's Burgers order fries with their order while 60%% order a drink, and 30%% order fries and a drink. What is the probability that a customer orders fries or a drink? O0.3 O0.6 O 1.2 Question 43 (1 point) How do a 95% confidence interval and a 90%% confidence interval that are calculated using the same data compare? O The 95% confidence interval is wider. The 90% confidence interval is wider. They are both the same. Question 44 (1 point) For testing a hypothesis about a single population mean, if the population standard deviation is known the Z-test is the appropriate test. O True False Question 45 (1 point) A sample of size 100 is taken from a population with a known population mean of 100 and a known population standard deviation of 5. What is the probability the sample mean lies between 99.5 and 100 5: O95% O 6ax O 16% 100%... Show more Need by 11:59AM CST MathStatistics and Probability MATH 403

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