Question

1. Bottles of a popular soda are supposed to contain 300 milliliters of soda. The volume of soda in the bottles distributes approximately normally. An inspector measured the contents of six randomly selected bottles. The results, in milliliters, were 299.4, 297.7, 301.0, 298.9, 300.2, and 297.0. At a 10% level of significance, would you say the manufacturer is meeting their obligation that the bottles contain 300 milliliters of soda? Use technology to find the mean and standard deviation of the sample. (10pts)

Answer 1

Question is answered below.

299.41 297-7, 30/-0, 298.9, 300-2,297-0 n co a 299.03, S2 1.503 Formula used, x= Ex s- bo (clain) J + (Elron) Null hypothess, Ho : M=300 Altonaline Aypothesis ut (two talked test 2 -10% IH 300 = 0olo

Test statulie ta ( ī - 4 s/ Sh. t 300 299.03 1.503156 t -1-58084 Crelical value, to.os 15 - 2.01505 oof <p-value < 0.2 Calculated value) < Critical value & we fact to resict Ho. there is sufficient evidence that manufactures is meeting their obligation that bottles contain 300 ml of soda