Colonial Funds claims to have a bond fund which has maintained a mean share price of $\$ 14.00$. They claim that the standard deviation of the share price is 0.14 . To test this claim, the investor randomly selects 29 days during the last year. He finds an average share price of $\$ 13.80$ with a standard deviation of 0.0772 . Can the investor conclude that the share price of the bond fund varies by less than Colonial Funds claims at $\alpha=0.01$ ? Step 1 of 5 : State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary. Answer Tables Keypad Keyboard Shortcuts $H_{0}: \square$

Step 1 ：The null hypothesis, denoted by H0, is a statement of no effect, no difference, or status quo. In this case, the null hypothesis is that the standard deviation of the share price is equal to the claimed standard deviation, which is 0.14.

Step 2 ：The alternative hypothesis, denoted by Ha, is a statement that contradicts the null hypothesis. In this case, the alternative hypothesis is that the standard deviation of the share price is not equal to the claimed standard deviation. Since we are testing if the standard deviation is less than the claimed standard deviation, the alternative hypothesis is that the standard deviation is less than 0.14.

Step 3 ：Final Answer: The null hypothesis \(H_{0}\) is that the standard deviation of the share price is equal to 0.14, i.e., \(H_{0}: \sigma = 0.14\). The alternative hypothesis \(H_{a}\) is that the standard deviation of the share price is less than 0.14, i.e., \(H_{a}: \sigma < 0.14\).