Question

577/5000

A baby biscuit company states that the average age of its production is 2000 hours. Because many complaints from consumers who state that the company made a statement is not true and its age is less than 2000 hours. Furthermore, consumer organizations conduct research on these baby biscuits with a sample of 36 and use α = 0.05
The study resulted in an average age of samples = 1900 hours with a standard deviation of 50 hours. What conclusions are generated by consumer institutions regarding the rejection?

Answer 1

Given that, sample size (n) = 36

sample mean = 1900 hours and

sample standard deviation (s) = 50 hours.

The null and alternative hypotheses are,

H0 : μ = 2000 hours

Ha : μ < 2000 hours

Test statistic is,

=> Test statistic = -12

p-value = P(t < -12) = 0.0000

Since, p-value = 0.0000 is less than α = 0.05, we reject the null hypothesis (H0).

Conclusion : There is sufficient evidence to conclude that, the average age of baby biscuit company is less than 2000 hours.