The following random sample was selected from a normal distribution: 4.5, 6.4, 2.3, 1.8, 5.3, then the 95% confidence interval to estimate the population mean is between

the 95% confidence interval to estimate the population mean is between  1.62 and 6.50

Step-by-step explanation:

given data

distribution = 4.5, 6.4, 2.3, 1.8, 5.3

so n = 5

confidence interval = 95%

to find out

the population mean is between

solution

first we calculate the mean i.e.

mean =  

mean =  4.5+ 6.4+ 2.3+ 1.8+ 5.3 / 5

mean = 4.06

now we calculate the standard deviation i.e.

standard deviation =  

standard deviation =  

standard deviation =  

standard deviation =  

standard deviation =  2.226544

so 95 % confidence interval is i.e. mean +/- t(5) * standard deviation/

here t(5) will be 2.45

so

95 % confidence interval=  4.06 +/- 2.45 * 2.226 /

95 % confidence interval= 1.62 and 6.50

the answer is 21%.