Question

12. The Crown Bottling Company has installed a new bottling process that will fill 12-ounce bottles of Cola. Both overfilling and underfilling of bottles is undesirable. The company wishes to see whether the mean bottle fill, μ, is equal to the target of 12 ounces. The company samples 43 bottles. The sample mean is 11.91 and the standard deviation is such that σ=0.11. a) Use a hypothesis test, at a 1% level of significance to determine whether the filler should be adjusted. (4 points)

b) Now suppose the company is worried about underfilling. Use a one-tailed hypothesis test at a 5%

significance level to determine whether the mean is less than 12.05 ounces. (4 points)

Answer 1

please like me my solution sir/madam

Byd Given data Sample mean t= 11.91 population mean N=12 Sample size n=43 Standard Deviation o=0.11 1. NOW Hypotheris H. Ho: M=12 2. Alternative Hypotheeix H: NE 12 3. level of significance d:0.01 4. The tell statistice in z = 7-M 2=_11.91-19 =) -5.365 0.11/843 121=5.365 The tabulated value of 2 at Al. level of signifi- Cance is 9.58 Since calculated z x tabelated z. so we Reject the Null Hypothers. There is a Difference between them. 1. Null Hypotheer Ho: N=19.05 2. Alternative Hypotheis Hi M7 12.05 3. level of significance &:0.05 4. The teet statistics is a= X-M z. 11.91-12.05 – 8.345 - The tabulated value of a at sl. level of significance is 1.96 since the calculated value of as the tabur lated value of 2. so we Reject the Null Hypothelix Ho and we conclude that these is a significant difference between them. on o.ll 1543 121= 8.345