Suppose X is a normal random variable with μ = 40 and σ = 20. Find P(X > 20.2). A) 0.1611 B) 0.8159 C) 0.8389 D) 0.1841 E) 0.8413
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Suppose X is a normal random variable with μ = 40 and σ = 20. Find P(X > 20.2).
A) 0.1611
B) 0.8159
C) 0.8389
D) 0.1841
E) 0.8413
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- Let X1, …, Xn be a random sample from a N(μ, σ²) population. Find the MLEs of μ and of σ.(iii) Find (or estimate) the P-value. OP-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005< P-value < 0.025 OP-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. O -4 -2 0 2 2 M 2 DO Q -2 -2 (iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (v) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there…2) Consider a standard normal random variable X and Y-Exp(ß = 1). If W = 2Y and Z = VIX, then a) State with parameter(s) the probability distribution of Z. b) Find the mean and variance of Z. c) d) Find the value of T if P(Z > T): 1000 Compute the probability that Z is at most 6.97.
- Ee.6.Part a, b, and c59% Consider the joint probability function: X12 Y -1 a 0.1 0. b d 1. e 0.3 0.4 If X and Y are independent random variables the yalue of b and d are 2. A) b = 0, d = 0.2 B) b 15 d = 0.2 C) b = 15 d = 0.6 D) b = , d = 0 15 A) b = 0, d = 0.2 C)b ==,d- 0.6 15 Dowaload XFull sen ...
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- Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information. Σχ - 64.2; Σ ? = 528.24; Ey = 90.4; Ey² = 1063.88; Exy = 741.77 6.2 8.6 7.0 7.5 8.3 6.9 10.0 9.7 y 9.7 10.3 10.9 11.5 14.2 7.0 14.6 12.2 Find the equation of the least-squares line. (Round your answers to three decimal places.) Find the sample correlation coefficient r and the sample coefficient of determination r. (Round your answers to three decimal places.) r = 2 = If x = 7.0, use the least-squares line to predict y. (Round your answer to two decimal places.) y = Find an 80% confidence interval for your prediction. (Round your answers to two decimal places.) lower limit mg/10 ml upper limit mg/10 ml Use level of significance 1% and test the claim that the…A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.9 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.) test statistic critical valueQ.2 Find the value of a when Z is a standard normal random variable and P{-3SEE MORE QUESTIONS
