Chapter 07, Section 7.4, Intelligent Tutoring Problem 031 Let x be a continuous random variable that has sample of 18 taken from this population will be between 69.61 and 77.23. normal distribution with p = 75 and o = 11. Assuming n s 0.05N, wheren = sample size and N = population size, find the probability that the sample mean, X, for a random Recall the following from section 7.3 & 7.4 of the text. If the population from which the samples are drawn is normally distributed, then the mean uz of the sampling distribution of I is equal to the mean of the population, p. That is, H = H. The standard deviation o; of the sampling distribution of I, mean of the sample is given by the formula o = Vn where n is the sampling size and o is the population standard deviation provided the sample size is small in comparison to the population size. Sample size is considered to be small compared to the population size, if ns 0.05N (sample size is less than or equal to 5% of the population). Furthermore, if the population from which the samples are drawn is normally distributed then the sampling distribution of I will also be normally distributed irrespective of the sample size. The z value for a value of I is calculated as z= v Chapter 07, Section 7.4, Intelligent Tutoring Problem 031 (a) Find the z value for 69.61. Round the answer to two decimal places. z1 = (b) Find the z value for 77.23. Round the answer to two decimal places. Z2 = (c) Write a statement for the probability that the sample mean X, for a random sample of 18 taken from this population will be between 69.61 and 77.23 using the z-values from (a) and (b).

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.