A marketing study found that the mean spending in 15 categories of consumer items for 150 respondents in the 18 to 34 age group was RM75.50 with a standard deviation of RM53.20. For 250 respondents in the 35+ age group, the mean and the standard deviation were RM65.20 and RM46.10, respectively. Test the hypothesis that there is no difference in the mean spending between these two populations. Use a significance level of 0.05. (Note: Assume that the population variances are not equal).
A marketing study found that the mean spending in 15 categories of consumer items for 150 respondents in the 18 to 34 age group was RM75.50 with a standard deviation of RM53.20. For 250 respondents in the 35+ age group, the mean and the standard deviation were RM65.20 and RM46.10, respectively. Test the hypothesis that there is no difference in the mean spending between these two populations. Use a significance level of 0.05. (Note: Assume that the population variances are not equal).
A marketing study found that the mean spending in 15 categories of consumer items for 150 respondents in the 18 to 34 age group was RM75.50 with a standard deviation of RM53.20. For 250 respondents in the 35+ age group, the mean and the standard deviation were RM65.20 and RM46.10, respectively. Test the hypothesis that there is no difference in the mean spending between these two populations. Use a significance level of 0.05. (Note: Assume that the population variances are not equal).
A marketing study found that the mean spending in 15 categories of consumer items for 150 respondents in the 18 to 34 age group was RM75.50 with a standard deviation of RM53.20. For 250 respondents in the 35+ age group, the mean and the standard deviation were RM65.20 and RM46.10, respectively. Test the hypothesis that there is no difference in the mean spending between these two populations. Use a significance level of 0.05. (Note: Assume that the population variances are not equal).
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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