Question 1203068
population mean is 2.0
population standard deviation is .07
sample size is 25.


standard error = standard deviation / square root of sample size = .07 / sqrt(25) = .07 / 5 = .014.


x = sample mean


a. what is probbility that x is Between 1.99 and 2.0 litres?


probability is equal to .2625


b. what is probability that x is Below 1.98 litres?


probability is equal to .0766


c. what is probability that x is Above 2.01 litres?


probability is equal to .2375


d. The probability is 90% that the sample mean will contain at least how much soft drink?


the proabability is 90% that the mean of the sample will be greater than or equal to 1.9821 liters of soft drink.



e. The probability is 90​% that the sample mean amount of soft drink will be between which two values​ (symmetrically distributed around the​ mean)?


the probability is 90% that the sample mean will be between 1.97697 and 2.02303 liters.


here's what the answers look like on a graph.


<img src = "http://theo.x10hosting.com/2023/071811.jpg">


<img src = "http://theo.x10hosting.com/2023/071812.jpg">


<img src = "http://theo.x10hosting.com/2023/071813.jpg">


<img src = "http://theo.x10hosting.com/2023/071814.jpg">


<img src = "http://theo.x10hosting.com/2023/071815.jpg">