: Metals. Using data from the past 25 years, an investor wants to test whether the average return of Vanguard's Precious Metals and Mining Fund is greater than 12%. Assume returns are normally distributed with a population standard deviation of 30%.

a.State the null and the alternative hypotheses for the test.

H₀: 12;HA:> 12

(2 Marks)

b.Calculate the value of the test statistic and the p-value.

(4 Marks)

c.At = 0.05, what is the conclusion? Is the return of Vanguard's Precious Metal and Mining Fund greater than 12%?(1 Mark)