ID: ____________________ Serial:________ Quiz#1 Stat212-082 Sec # 03 04 06 Name________________________ Choose the one alternative that best completes the statement or answers the question. 1) (1 pt.) How many tissues should a package of tissues contain? 1) _______ Researchers have determined that a person uses an average of 62 tissues during a cold. Suppose a random sample of 2500 people yielded the following data on the number of tissues used during a cold: = 57, s = 18. Identify the null and alternative hypothesis for a test to determine if the mean number of tissues used during a cold is less than 62. A) B) : μ = 62 vs. : μ < 62 : μ = 62 vs. : μ > 62 C) D) : μ > 62 vs. : μ ≤ 62 : μ = 62 vs. : μ ≠ 62 2) 3) (1 pt.) Suppose we wish to test : μ ≤ 35 vs. : μ > 35. What will result if we conclude that the mean is greater than 35 when its true value is really 43? A) a correct decision B) a Type I error C) a Type II error D) none of the above (1 pt.) I want to test : p = 0.5 vs. : p ≠ 0.5 using a test of hypothesis. If I concluded that p is 0.5 when, in fact, the true value of p is not 0.5, then I have made a __________. A) Type I error B) Type II error C) Type I and Type II error D) correct decision 4) (1 pt.) How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 48 tissues during a cold. Suppose a random sample of 100 people yielded the 2) _______ 3) _______ 4) _______ following data on the number of tissues used during a cold: Using the sample information provided, calculate the value of the test statistic for the relevant hypothesis test. A) B) z= z= C) D) z= z= 5) (1 pt.) How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 45 tissues during a cold. Suppose a random sample of 10,000 people yielded the following data on the number of tissues used during a cold: We want to test the alternative hypothesis correct rejection region for A) if z < -1.645. Reject B) if z > 1.96 or z < -1.96. Reject C) if z > 1.645. Reject D) if z < -1.96. Reject : μ < 45. State the 5) _______ 6) (5 pts) Data were collected from the sale of 25 properties by a local real estate agent. The following printout concentrated on the land value variable from the sampled properties. HYPOTHESIS: : μ = $40,253 vs. : μ ≠ $40,253 (2 pts.) Find the p-value for testing whether the mean land value differs from $40,253. A) p = 0.1918585 B) p = 0.0959288 C) p = 0.308142 D) p = 0.808142 6) _______
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