Question

Can someone please answer the following questions and explain the steps taken along the way: Specifically can you explain part B

a) A sample of 500 had a mean of 1995 daily caloric intake in the adult rural developing country and a standard deviation of 220. Do these data provide sufficient evidence to indicate that the population mean is greater than 1900? Let α = 0.05.

b) Perform the P-Value test for part (a), and write the conclusion

Answer 1

This is the right tailed test .

The null and alternative hypothesis is

H₀ : = 1900

H_a : > 1900

Test statistic = z

= ( - ) /    / n

= (1995 - 1900) / 220 / 500

Test statistic = 9.66

P(z > 9.66) = 1 - P(z < 9.6) = 0

P-value = 0

P-value <

Reject the null hypothesis .

There is sufficient evidence to conclude that the population mean is greater than 1900 .