The risk of investing in a stock is measured by the volatility, or the variance, in changes in the price of the stock. Mutual funds offer generally lower risk to investors. Different mutual funds have different focuses and offer different levels of risk. Carla is deciding between two mutual funds, A and B, with similar expected returns. To make a final decision, she examined the annual returns of the two funds during the last ten years and obtained the following information. Mutual Fund A, Sample 1: n1 = 10, s? = 0.012 Mutual Fund B, Sample 2: n2 = 10, s, = 0.005 Test at the 0.10 level of significance whether the data provide sufficient evidence to conclude that the two mutual funds offer different levels of risk. Note that the hypotheses we consider are as follows. Но : = 1 versus H : Equivalently, we have the following hypotheses. Ho : o - o = 0 versus H1 : o – o + 0 Answer the following questions. The value of the test statistic equals: (Select The rejection region is of the form (-∞, a] U [b, 0). The limit for the lower interval is a = [ Select ] The limit for the upper interval is b = ( Select ] The statement "The data provide sufficient evidence indicating that the two mutual funds offer different levels of risk." is ( Select ]

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The risk of investing in a stock is measured by the volatility, or the variance, in changes in the price of the stock.
Mutual funds offer generally lower risk to investors.
Different mutual funds have different focuses and offer different levels of risk.
Carla is deciding between two mutual funds, A and B, with similar expected returns.
To make a final decision, she examined the annual returns of the two funds during the last ten years and obtained the following information.
Mutual Fund A, Sample 1: nị
10, s = 0.012
Mutual Fund B, Sample 2: n2
10, s = 0.005
Test at the 0.10 level of significance whether the data provide sufficient evidence to conclude that the two mutual funds offer different levels of risk.
Note that the hypotheses we consider are as follows.
Но :
1 versus Hị :
Equivalently, we have the following hypotheses.
Ho : 어-0230 versus Hi : 아-o2 +0
Answer the following questions.
The value of the test statistic equals: [ Select ]
The rejection region is of the form (-∞, a] U [b, ∞).
The limit for the lower interval is a =
[ Select ]
The limit for the upper interval is b =
[ Select ]
The statement "The data provide sufficient evidence indicating that the two mutual funds offer different levels of risk." is [ Select ]
Transcribed Image Text:The risk of investing in a stock is measured by the volatility, or the variance, in changes in the price of the stock. Mutual funds offer generally lower risk to investors. Different mutual funds have different focuses and offer different levels of risk. Carla is deciding between two mutual funds, A and B, with similar expected returns. To make a final decision, she examined the annual returns of the two funds during the last ten years and obtained the following information. Mutual Fund A, Sample 1: nị 10, s = 0.012 Mutual Fund B, Sample 2: n2 10, s = 0.005 Test at the 0.10 level of significance whether the data provide sufficient evidence to conclude that the two mutual funds offer different levels of risk. Note that the hypotheses we consider are as follows. Но : 1 versus Hị : Equivalently, we have the following hypotheses. Ho : 어-0230 versus Hi : 아-o2 +0 Answer the following questions. The value of the test statistic equals: [ Select ] The rejection region is of the form (-∞, a] U [b, ∞). The limit for the lower interval is a = [ Select ] The limit for the upper interval is b = [ Select ] The statement "The data provide sufficient evidence indicating that the two mutual funds offer different levels of risk." is [ Select ]
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