Question 1196930
population mean = 328 grams
population standard deviation = 28 grams
sample size is 8 pieces of fruit
standard error = standard deviation / square root of sample size = 28 / sqrt(8) = 9.8995 rounded to 4 decimal places.
z-score = inverse(.88) = 1.175
88% of the sample means will be below that and 12% will be above that.
raw score = z * standard error + population mean = 1.175 * 9.8995 + 328 = 339.6319 rounded to 4 decimal places.
88% of the raw scores will be below that and 12% will be above that.
here's what it looks like on a z-score graphing calculator.
<img src = "http://theo.x10hosting.com/2022/100601.jpg">
calculator can be found at <a href = "https://davidmlane.com/hyperstat/z_table.html" target = "_blank">https://davidmlane.com/hyperstat/z_table.htmlhttps://davidmlane.com/hyperstat/z_table.html</a>
since you are dealing with the mean of the sample, you need the standard error and not the standard deviation.