2:51 Khan Academy Level 6 \( 3 / 6 \) skills \( \square \) Statistical questions Lauren asked Katya, "Does it typically rain more in the United States or in Brazil?" Is this a statistical question? Choose 1 answer: (A) Yes (B) No Related content Statistical questions 9:34 Report a problem (A) C \( \checkmark \) 00 0 0 Skip Check
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The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. If required, round your answer to three decimal places. (a) Show the sampling distribution of the sample mean annual rainfall for California. E(x) σx̄ California (b) Show the sampling distribution of the sample mean annual rainfall for New York. E(x) σx̄ New York (c) In which of the preceding two cases, part (a) or part (b), is the standard error of x smaller? Why? The standard error is smaller for New York because the sample size is larger than for California.
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An OSU student noticed that it rains more often in Corvallis than in their hometown, and this gets the student wondering how often it rained during the Fall 2020 term. To investigate this, the student takes a random sample of 30 days from the Fall 2020 term and for each of these days, records whether it rained that particular day. a. What statistical method should be used? - z-methods - t-methods - linear regression b. What is the parameter of interest? - mean - mean difference - proportion - not applicable -- it's a linear regression c. Is this a hypothesis test problem or an estimation (confidence interval problem)? - hypothesis test - estimation (confidence interval) - not applicable -- it's a linear regression
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