31. If X is a normal variate with mean 2 and S.D 3, find the -1a Also find p Y 2 distribution of Y = 2
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- The time at which a bus arrives at a station is uniform over an interval (a,b) with mean 2:00 pm and variance 12 minutes. Determine the values of a and b.A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. What is the critical value of z if we need to conclude that the population proportion with a history of intrapartum or postpartum infection is less than 0.25.The sample mean and standard deviation from a random sample of 30 observations from a normal population were computed as x¯=31x¯=31 and s = 9. Calculate the t statistic of the test required to determine whether there is enough evidence to infer at the 3% significance level that the population mean is greater than 28. Test Statistic =
- If x is normally distributed with population mean=20.0 and population standard deviation = 4.0, determine P(16.0 less than/equal to x less than/equal to 24.0)Assume that X has a normal distribution where the mean is μ= 15.2 and the standard deviation is σ= 0.9. Find Pr(X≤13.4 or X≥17.0) and graph it.A set of n = 10 pairs of scores has ∑X = 20. ∑Y = 30 and ∑XY = 74. What is the value of SP forthese data
- If my p-value is 0.062 should I reject it and support my claim?A pharmcuticle company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of Mercury) for 9 patients before taking the new drug and 2 hours after taking the drug are shown in the table below. is there enough evidence support the company's claim? Let D =(blood pressure before taking new drug)- (blood pressure after taking new drug).use significant levels of a=their 0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patience both Before & After taking the new drug. 1.State the null and alternative hypothesis for the test. 2. Find the value of the standard deviation of the paired differences. Round to one decimal place. 3.compute the value of the test statistic. Round to three decimal places 4.determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to three decimals. 5.make decision for the hypothesis test.For SRSWOR (N,n), find the ratio estimator of population mean. Show that the estimator is biased.
- 20. The mean of a population of raw scores is 60 (sX 16). Your X 66 (with N 40). Using the .05 criterion with the region of rejection in the lower tail, should you reject that the sample represents this population and why?The variability of the scores in a sample tends to be _____ the variability of the scores in the population from which the sample was obtained. a. unrelated to b. larger than c. exactly the same as d. smaller thanSuppose that x has a hypergeometric distribution with N = 10, r = 4, and n = 3. (b) Find the mean μx, variance σ2xσx2 and standard deviation σx of this distribution. (Round your answers to 3 decimal places.) Mean Variance Standard deviation