Question

math problem please help asap

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? Úse technology to find the mean and standard deviation of the sample. (10pts)

Answer 1

X-F x = 7)? х 0.134444444 299.4 0.3667 297.7 -1.3333 301 1.9667 298.9 -0.1333 300.2 1.1667 297 -2.0333 1794 Here,n= 1.777777778 3.867777778 0.017777778 1.361111111 4.134444444 11.29333333 6 Sample mean X 299.033 , by excel function average() 72 (x-7) by 1.503 stdev.s() Sample Standard deviation, s= 72-1

300 Null hypothesis;HO: Alternative hypothesis;H1: + 300 Sample mean: X = 299.033 given n= 6 given 1.503 given Sample size: Sample standard deviation: Degrees of freedom: Level of significance : S= n-1= 5 a= 0.1 given and a -= 0.05 2 Critical values : ta/2 = £ 2.015 from t table Rejection region :ts -2.015 or t> 2.015 S Standard error: = 0.6136 Jn Test statistic: X-u t = 1-1.576 S Jn -1.576 p-value: Fort= the two tailed p-value is Decision: with df= 5 0.1758) Since p-value > a, fail to reject HO Conclusion: yes