H.:p = 0.19 Ha:p > 0.19 You obtain a sample of size n = 162 in which there are 47 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.) The p-value for this test is (assuming H, is true) the probability of observing.. at most 47 successful observations at least 47 successful observations What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

6.2 The Standard Normal Distribution Table: Z-score and Probability A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 164.7 cm and a standard deviation of 2.5 cm. Find the probability that the length of a randomly selected steel rod is greater than 167.7 cm. Probability -

Suppose that the efficacy of a certain drug is 0.43. Consider the sampling distribution (sample size n = 180) for the proportion of patients cured by this drug. What is the mean of this distribution? 0.43 What is the standard error of this distribution? Round your answer to two decimal places. 0.57 X Enter an integer or decimal number [more..]

When asked: "What is the distribution of X ? X ~ N(___,___)." This notation is referring to N, a normal distribution, with the mean given in the first space and the standard deviation in the second space. Remember that the standard deviation of the sample means is different from the population standard deviation. The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation 7 mm. Suppose that 11 individuals are randomly chosen. Round final answers to 4 decimal places. a. What is the distribution of x? x N( b. For the group of 11, find the probability that the average hand length is more than 189. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? Yes No