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- 8. Find the z-score corresponding to a score of X = 45 for each of the following distributions. %3D = 40 and o = 20 а. b. u = 40 and o = 10 c. u = 40 and o = 5 d. µ = 40 and o = 2 %3Da) Find such that P( X < ? ) = 0.9332, where X is a normal random variable with mean = 10 and standard deviation = 2.5. b) Find such that P( X > ?) = 0.1230, where X is a normal random variable with mean = 10 and standard deviation = 2.5.2. In a standard normal curve, find... a) P(Zs 2.80) = p (2.80) b) between z=-1.28 and z=-0.663B c) to the left of z=1.50;
- I need help finding the mean for part D, I tried 1.510 and got it wrong and I also tried 1.496 and I also got that wrong.Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean i is 8.9. the observed sample variance s? is 25 and 4o : 10.5. Suppose we now want to test Ho : o? = of versus H1 : o? + of. Which of these test statistics should we use? Select one: (n-1)s? W = of a. O b. Z %3D O c. T= S/n Let o = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places. What is the p-value of the (appropriate) observed test statistic for testing Ho : o? = of versus H1 : o? + of you just computed? Give answer to three decimal places.is being approxin Let X1,..., Xn be an iid with mean, µ = E(X), and variance, o2 = Var(X). True or False, and briefly explain: The sample average, X, can be expected to be closer and closer to µ as n gets bigger and pigger. Confidence Intervals
- Find a z-score satisfying the given condition. For any normal distribution, what is the value of P(xsp) and P(x2u)? P(xsp) =D and P(x2 u) =D (Type integers or decimals.)Consider a normal distribution curve where 70-th percentile is at 11 and the 30-th percentile is at 2. Use this information to find the mean, u , and the standard deviation, o , of the distribution. a) u = b) σ-Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean i is 8.9. the observed sample variance s is 25 and µo = 10.5. Suppose we now want to test Ho : o² = of versus H1 : o? + of. Which of these test statistics should we use? Select one: O a. W = (n-1)s O b. Z X-P O c. T = S/n Let of = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places.
- 3. For the binomial distribution with the given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation. n= 65 and p = 0.7 a. Normal approximation is not suitable. b. Normal approximation is suitable.5.STATISTICAL INFERENCE-2 2. 1), find c given P(Z > c) = 0.046, please show you For a standard normal distribution (u 0 and o answer to 2 decimal places.