chin researched the amount of money 150 students earned per month from jobs held during the summer. he…

chin researched the amount of money 150 students earned per month from jobs held during the summer. he created a table of six sample means from his collected data.\n| sample number | sample mean ($) |\n| ---- | ---- |\n| 1 | 208 |\n| 2 | 235 |\n| 3 | 245 |\n| 4 | 207 |\n| 5 | 205 |\n| 6 | 210 |\nusing his results, what is a valid prediction about the mean of the population?\nthe predicted mean of the population will be less than 200.\nthe predicted mean of the population will be less than 245.\nthe predicted mean of the population will be more than 275.\nthe predicted mean of the population will be more than 250.

chin researched the amount of money 150 students earned per month from jobs held during the summer. he created a table of six sample means from his collected data.\n| sample number | sample mean ($) |\n| ---- | ---- |\n| 1 | 208 |\n| 2 | 235 |\n| 3 | 245 |\n| 4 | 207 |\n| 5 | 205 |\n| 6 | 210 |\nusing his results, what is a valid prediction about the mean of the population?\nthe predicted mean of the population will be less than 200.\nthe predicted mean of the population will be less than 245.\nthe predicted mean of the population will be more than 275.\nthe predicted mean of the population will be more than 250.

Answer

Answer:

The predicted mean of the population will be less than 245.

Explanation:

Step1: Calculate the mean of sample means

$\bar{x}=\frac{208 + 235+245+207+205+210}{6}$ $=\frac{1310}{6}\approx218.33$

Step2: Analyze options

The mean of the sample - means is approximately 218.33. Since the sample means are used to estimate the population mean, and all sample means are less than 245, it is a valid prediction that the predicted mean of the population will be less than 245. The other options (less than 200, more than 275, more than 250) are not supported by the sample - mean data.