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- Which combination would lead you to Fail to Reject H0? ANOVA: Fobt = 3.61 Fcrit = 2.55 2-tailed t-test: tobt = 2.36 tcrit = 1.89 Correlation: robt = 0.68 rcrit = 0.64 Chi-Square GOF: χ2obt = 3.24 χ2crit = 4.25A simple random sample of size 200 is taken from a much larger group of male wrestlers prior to a competition. The average weight in the sample is 190 pounds, with an SD of 20 pounds. The average weight of the population is estimated to be 190 pounds, and this estimate is likely to be off by about _______.Let X be a Poisson random variable with E(X) = 3. Find P(2 < x < 4).
- What type of statistical test are you conducting if h1 states that the parameter is greater than the value claimed in h0? a) left-tailed b) right-tailed c) two-tailed d) dove-tailedA snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.33. A dietician is asked to test this claim and finds that a random sample of 24 servings has a variance of 1.37. At α=0.01, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. (a) Write the claim mathematically and identify H0 and Ha. A. H0: σ2≤1.33 (Claim) Ha: σ2>1.33 B. H0: σ2≠1.33 Ha: σ2=1.33 (Claim) C. H0: σ2≥1.33 Ha: σ2<1.33 (Claim) D. H0: σ2=1.33 (Claim) Ha: σ2≠1.33 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) enter your response here. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Choose the correct statement below and fill in the corresponding answer boxes. A. The…2) Let G and H be two independent unbiased estimators of θ. Assume that the variance of G is two times the variance of H. Find the constants a and b so that aG + bH is an unbiased estimator with the smallest possible variance for such a linear combination.
- The following random variables X, Y, Z, W are known to be Gaussian.answer b The following table shows the number of shirts by sizes that are manufactured in a factory on aparticular week:Extra Small Small Medium Large Extra Large390 470 520 680 440a) It was discovered that the sizing of some shirts was labelled incorrectly.(i) Give two reasons why it would be necessary to examine a sample of the shirts producedrather than examine the entire weekly production. (ii) State two differences between a cluster sample and a stratified random sample in thissituation. (iii) Using the stratified random sampling technique, calculate the number of medium shirtsthat will be selected if we require a sample of 375 shirts. (iv)State one advantage of using stratified random method for collecting this sample. b) Determine the level of measurement that describes the following (i) The size of the shirt that a customer purchase(ii) The total amount paid by the customer(iii) The address of the factory that manufactures the shirtsAs a bonus assignment a former student checked if your professor gave a statisticallysignificant difference in grades between his male and female students. She based herstudy based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317)and her sample included nm = 485 male students and nf = 264 female students. Theaverage grades received were xm = 84.6 and xf = 85.8 The population standad deviation were σ m = 12.0 and σ f = 11.4 8. From the same extra-credit study as in question 7 see above, this former student found that the proportion of female students in principle courses (Econ 203, 205) was ?̅? = 0.380, while the proportion of female students in intermediate courses (Econ 303, 305, 317) was ?̅? = 0.352. The principle courses sample size was np = 782, while the intermediate courses sample size was ni = 749. Test the hypothesis that female students are less in intermediate courses using a 90% confidence level and the p-value approach.
- QUestion 3b. The arrival of customers during business hours at a checkout is thought to follow a Poisson distribution with a mean of 3 arrivals in each 2-minute period.i. Determine the probability of exactly 3 arrivals at the checkout in a randomly selected 2-minute period within business hours. ii. Let Y be the variable representing the number of arrivals at the checkout during a 10-minute period. State the type of distribution Y has and it’s parameter/s and use this to determine the probability of less than 8 arrivals at the checkout in a 10-minute period.9.1) Suppose X1, X2, and X3, denotes a random sample from the exponential distribution with density function shown in the image. a) Which of the above estimators are unbiased for θ? b) Among the unbiased estimators of θ, which has the smallest variance?chapter 8 question 11 suppose a simple random sample size of size n= 15 is obtained from a population with u=61 and q=14. The population must be normally distributed the sampling distribution of xbar is normal with ux= 61 and q = 14 over the square root of 15. B. P(xbar less than 64.6 assuming the normal model. assuming the normal model, p(x greater than or equal to 63.2