The coffee and soup machine at the local subway station is supposed to fill cups with 6 ounces of soup. ten cups of soup are bought with results of a mean of 5.93 ounces and a standard deviation of 0.13 ounces. how large a sample of soups would we need to be 95 percent confident that the sample mean is within 0.03 ounces of the population mean?

sample size is 73

Step-by-step explanation:

Given data

mean = 5.93

standard deviation = 0.13

confident = 95%

sample mean = 0.03

top find out

sample of soups

solution

we know Z critical value is  1.96 with the help of Z table when a = 0.05 ( 95 % confident)  and sample mean is 0.03

so sample = (( Z × standard deviation  ) / sample mean)^2    1

so now put all value  Z ,  standard deviation and sample mean in equation 1

sample = (( Z × standard deviation  ) / sample mean)^2

sample = (( 1.96 ×  0.13  ) / 0.03)^2

sample = 72.137

so sample size is 73

1/800 is the right answer