Question

QUESTION 4 (4 marks) A manufacturer of contact lens solution produce a 500ml bottle with tightly controlled salinity. The Naci content of the bottles is normally distribution. A random sample of 35 bottles from the manufacturer were tested and yielded a mean of 4.6 and a standard deviation of 0.05. Construct a 95% confidence interval for the average NaCl content of the bottles of contact lens solution.

Answer 1

Confidence interval is

(4.5834 ,4.6166)

Here, have to construct 95% confidence intervol for the average (x) Macl content of the bottle contact lens solution. given that, Sample mean (x) = 4.0 standard deviation (5) = 0.05 level of significance cd) = 57 sample size in) - 35 He have 100 (1-2) % confidence interval average is for sample x 7 Zalz slin Here, zoos 1.96 i 95%. C'I for the average (E) Hach content of the bottle of contact lens solution is 4.5 I 1.96.005 735 (+4.5834 et 4.6160) CS with Cam Scanner