The owner of a small book publishing company is concerned about the declining number of people who read books to learn more about the problem she takes a random sample of customers in a bookstore and asked each how many books they read in the last 12 months. The results are below: Females: N = 9 mean = 9.56 standard deviation = 5.08 Males n = 6 mean = 6.5 standard deviation = 2.35 Using a level of significance of .05 can we infer there is a difference in the number of books purchased by females and males a) set up the null and alternative hypothesis(attach) b) find the critical value c) compute the test statistic(enter below) d) find the p value(attach) e) what is your conclusion(attach)
The owner of a small book publishing company is concerned about the declining number of people who read books to learn more about the problem she takes a random sample of customers in a bookstore and asked each how many books they read in the last 12 months. The results are below: Females: N = 9 mean = 9.56 standard deviation = 5.08 Males n = 6 mean = 6.5 standard deviation = 2.35 Using a level of significance of .05 can we infer there is a difference in the number of books purchased by females and males a) set up the null and alternative hypothesis(attach) b) find the critical value c) compute the test statistic(enter below) d) find the p value(attach) e) what is your conclusion(attach)
The owner of a small book publishing company is concerned about the declining number of people who read books to learn more about the problem she takes a random sample of customers in a bookstore and asked each how many books they read in the last 12 months. The results are below: Females: N = 9 mean = 9.56 standard deviation = 5.08 Males n = 6 mean = 6.5 standard deviation = 2.35 Using a level of significance of .05 can we infer there is a difference in the number of books purchased by females and males a) set up the null and alternative hypothesis(attach) b) find the critical value c) compute the test statistic(enter below) d) find the p value(attach) e) what is your conclusion(attach)
The owner of a small book publishing company is concerned about the declining number of people who read books to learn more about the problem she takes a random sample of customers in a bookstore and asked each how many books they read in the last 12 months. The results are below: Females: N = 9 mean = 9.56 standard deviation = 5.08 Males n = 6 mean = 6.5 standard deviation = 2.35 Using a level of significance of .05 can we infer there is a difference in the number of books purchased by females and males a) set up the null and alternative hypothesis(attach) b) find the critical value c) compute the test statistic(enter below) d) find the p value(attach) e) what is your conclusion(attach)
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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