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- Only need part fTyson Corp. stock has returns of 3%, 18%, -24%, and 28% for the past four years. Based on this information, what is the 99% probability range for any one given year? Select one: Oa 24.5 to 34.3% O b.-61.7 to 74.2% OC.-8.4 to 11.7% Od.-16.4 to 28.9% e. 39.0 to 51.5%With α = .05 and a sample of n = 12 dating couples in a study, Dr. X is conducting a t-test to see test if wives and husbands do the same amount of chores. The critical values for the two-tailed critical region are __________. Group of answer choices A)t = ±2.201 B)t = ±2.228 C)t = ±1.812 D)t = ±1.796
- A researcher selects a random sample of 58 mice from her laboratory. For each mouse, she records the weight of the mouse in grams and whether the mouse prefers Brand A or Brand B food. She would like to know if there is convincing evidence that mouse weight is associated with food preference. Let = 0.10. The observed and expected counts are displayed in the tables. Observed counts: Expected counts: Which of the following contributed the most to the value of the χ2 statistic? average weight and Brand A average weight and Brand B not average weight and Brand A not average weight and Brand BR3Let X1, X2, ... , Xn be a random sample, normally distributed with mean μ and variance σ2If σ2 is known, find a minimum value for n to guarantee that a 0.95 CI for μ will have length no more than σ/4
- 4.54 Figure 4.16 shows a randomization distribution for testing Ho 1=2 versus Ha statistic used for each sample is D = x, – x2. In each case, use the distribution to decide which value is closer to the p-value for the observed difference in : H1 # µz. The sample means. (a) The p-value for D = x - I = -2.9 is closest to: %3D 0.01 or 0.25? (b) The p-value for D = x, – x, = 1.2 is closest to: %3D 0.30 or 0.60? 90 80 70 60 50 40 30 20 10 무 -3 -2 -1 1 2 3 Differences Figure 4.16 Randomization distribution for Exercises 4.54 to 4.58 FrequencyLet X1,. X, be a sample from normal with mean theta and variance 1, and consider the sequence of estimators Xn = , Show, by using the definition, that Xn, is consistent. That is, show that P(|Xn-theta|<epsilon) -> 1, as n -> infinity.Q3:7 Show that eveny Subop of a ayelie gp is normal