Res 342 E Text Week 2

At Ajax Spring Water, a half-liter bottle of soft befuddle is supposed to contain a retrieve of 520 ml. The filling transit follows a normal distribution with a known abut standard deviation of 4 ml. (a) Which sampling distribution would you expend if haphazard samples of 10 bottles are to be weighed? Why? I would use the sample mean of 520 ml, the standard deviation would be 4/3.16 (square root of 10), I would use this format because it follows the central Limit Theorm. (b) Set up hypotheses and a two- trail decision dominion for the correct mean using the 5 percent take aim of significance. H0 < 520, H1 >= 520, protest H0 -1.96<z>1.96 (c) If a sample of 16 bottles shows a mean fill of 515 ml, does this contradict the hypothesis that the true mean is 520 ml? z= (515-520)/(4/3.16)= -3.937 ~ stand firm the null hypothesis, -3.937 is greater than -1.96 A excise was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. H0~P=.5 H1~P does not= .5 p=38/60 = .633, two tailed z test = .1 : z =/- 1.645 z(0.633333) = (0.6333-0.5)/sqrt[(0.5)(0.5)/60] = 0.13333/0.064549..= 2.0656 (b) Calculate a p-value and encounter it. P(2.0656 < z < 10 ) = 2*0.019434..= 0.03887 ~ .

03887 of test results could have been apply to rejecting Ho. Ages for the 2005 Boston Red Sox pitchers are shown below. (a) Assuming this is a random sample of major league pitchers, at the 5 percent level of significance does this sample show that the true mean mount of all American League pitchers is over 30 historic period? State your hypotheses and decision rule and show all work. H0 <= 30H1 > 30 p/n ~ 407/12= 33.92 p=.05/sqrt12 ~ .015 T test with df of 11 and alpha 5% =36.46 (b) If there is a difference, is it important? Yes, this fails to reject the H0 (c) Find the p-value and interpret it. P=1 Is this sample of 25 testing scores inconsistent with the hypothesis that the true... If you want to get a full essay, order it on our website: Orderessay

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