Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks). Let y be a random variable representing annual return for Vanguard Balanced Index (60% stock and 40% bond). For the past several years, we have the following data. x 19 0 13 33 18 11 31 -20 -12 -16 y 17 -10 9 27 17 8 25 -3 -2 -3

You may need to use the appropriate appendix table or technology to answer this question. A study showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup. (a) Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup is less than 64%. Ho:p 0.64 H: ps 0.64 Ho: ps 0.64 H:p > 0.64 Ho: p = 0.64 H: p + 0.64 (b) If a sample of 100 shoppers showed 52 stating that the supermarket brand was as good as the national brand, what is the p-value? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =…

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Evaluate. 36

What does algebra consist of

A and B marked as incorrect