If X is b(100,0.1), how do you find the value of P(12 < X < 14) using the normal approximation and the Poisson approximation
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If X is b(100,0.1), how do you find the value of P(12 < X < 14) using the normal approximation and the Poisson approximation
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- Let X3∼Bin(n,p), where n=201 and p=(22)/1000. Let Y3 be the Poisson approximation to X3. What is P(Y3≤4)? Round your answer to four significant figures.For b there are two cases and for c I have to plug the initial data into the odef X1,X2,...,Xn constitute a random sample of size n from a geometric population, show that Y = X1 + X2 + ···+ Xn is a sufficient estimator of the parameter θ.
- L12Q5.At 10% level of significance, the critical value(s) of z to test H0: μ1= μ2; against Ha: μ1 ≠ μ2 is/areFor 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.3, y=6.0, r=−0.228, P-value=0.111, and y=7.81−0.280x. Find the best predicted value of y(attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=5. Use a 0.10 significance level. The best predicted value of ywhen x=5 is nothing. (Round to one decimal place as needed.)Suppose we consider the following model: Xt2 = b0 + b1X2t-1 + ut The estimation of the model provided the following: Xt2 = 0.00043 + 0.23036X2t-1 t = (7.71) (4.97) R2 = 0.0531 d = 1.9933 where Xt2 is as defined before. Given a p value for b1 of .0001 what do conclude about the significance of the model?
- The test statistic of z=−2.60 is obtained when testing the claim that p<0.63. a. Using a significance level of α=0.01, find the critical value(s). b. Should we reject H0 or should we fail to reject H0?For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.3, y=6.0, r=−0.264, P-value=0.063, and y=7.92−0.304x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=4. Use a 0.01 significance level. The best predicted value of y when x=4 is __ (Round to one decimal place as needed.)For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.4, y=6.0, r=−0.211, P-value=0.142, and y=7.65−0.253x. Find the best predicted value of y(attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=5. Use a 0.10 significance level.
- For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.3, y=6.0, r=−0.212, P-value=0.139, and y=7.59−0.256x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=5. Use a 0.05 significance level.For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.4, y=6.0, r=−0.170, P-value=0.238, and y=7.31−0.198x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=8. Use a 0.01 significance level. The best predicted value of y when x=8 isThe test statistic of z=−2.97 is obtained when testing the claim that p=3/5. a. Using a significance level of a=0.10, find the critical value(s). b. Should we reject H 0or should we fail to reject H 0?