Answer:
The 95% confidence interval for the true mean would be between 3.39 and 6.01
Step-by-step explanation:
In order to calculate the 95% confidence interval for the true mean we would have to calculate first the mean and standard deviation as follows:
mean=∑Xi/n
mean=$3.60 $4.50 $2.80 $6.30 $2.60 $5.20 $6.75 $4.25 $8.00 $3.00/10
mean=4.7
standard deviation=√∑(Xi-mean)∧2/n-1
standard deviation=1.83
t critical=2.262
The confidence interval=mean +/- t critical*standard deviation/√10
The confidence interval=4.7 +/- 2.262*1.8338/√10
The confidence interval=(3.39, 6.01)
The 95% confidence interval for the true mean would be between 3.39 and 6.01