pls check whether the answer are correct and choose standard error for the sample of four and eight from the relative four answer. Which sample is better estimate of population?

The following is the number of days when 250 high stress research participants exhibit respiratory symptoms.

The mean of the population of numbers is u = 28.5. The standard deviation of the population of numbers is 0 = 8.65. Suppose you take a sample of 4 of these 250 high—stress research participants. The following are the number of daysthe four participants exhibited symptoms. 29 35 38 42 The mean of this sample of numbers is )2 = 36 , and the standard deviation is s = 5.48. Suppose you take a sample of 8 of these 250 high—stress research participants. The following are the number of daysthat the eight participants exhibited symptoms. 23 27 29 35 38 42 15 23 The mean of this sample of numbers is )2 = 29 , and the standard deviation is s = 8.93. Calculate the standard error of the mean for the sample of four: oi = Calculate the standard error of the mean for the sample of eight: oi The sample of eight is a better estimate of the population.