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need help answering the last question. Refer to the accompanying figure. Complete parts (a) through (d) below. Click the icon to view the figure. Because
need help answering the last question.
Refer to the accompanying figure. Complete parts (a) through (d) below. Click the icon to view the figure. Because 6: =6/ vn, as n increases, 6- decreases. This fact results in a diminishing of the spread because the spread of a sampling distribution is determined by its standard deviation. As a consequence, the larger the sample size, the greater is the likelihood for small sampling error. c. Why are the graphs in column (a) bell shaped? O A. The graphs are bell shaped because the mean of the sampling distribution is equal to population mean. B. If the variable under consideration is normally distributed, so is the sampling distribution of the mean, regardless of sample size. O C. All sampling distributions of the sample mean are bell shaped. O D. The graphs are bell shaped because the sample size does not have any effect on the shape of the sampling distributions of the sample mean for any variable. d. Why do the graphs in columns (b) and (c) become bell shaped as the sample size increases? O A. The central limit theorem indicates that, if the sample size is relatively large, the sampling distribution of the mean is approximately a normal distribution, as long as the distribution of the variable under consideration is not skewed. O B. The central limit theorem indicates that, if the sample size is relatively large, the distribution of any variation is approximately a normal distribution. O C. The central limit theorem indicates that, as the sample size becomes larger, the mean of the sampling distribution approaches the population mean of the variable under consideration. O D. The central limit theorem indicates that, if the sample size is relatively large, the sampling distribution of the mean is approximately a normal distribution, regardless of the distribution of the variable under consideration.Sampling distributions of the sample mean for (a) normal, (b) reverse-j-shaped, and (c) uniform variables distribution of the variable X X X sampling distribution X X n =2 sampling distribution X X n = 10Sampling distributions of the sample mean for (a) normal, (b) reverse-j-shaped, and (c) uniform variables sampling distribution X n = 10 sampling distribution X n = 30 X (a) (b) (c)Step by Step Solution
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