11 . The call back aloofness of a minuscule foreknow balance bar is 43 millimeters There is tending that the adjustments of the gondola producing the bars have diversenessd . Test the claim at the 0 .02 take that there has been no change in the guess length . The alternate possibleness is that there has been a change . Twelve bars (n 12 ) were selected at random and their lengths preserve . The lengths are (in millimeters ) 42 , 39 , 42 , 45 , 43 40 , 39 , 41 , 40 , 42 , 43 and 42 . The mean of the ingest is 41 .5 and the bar diversion 1 .784 . Computed t 2 .913 . Has there been a statistically significant change in the mean length of the barsA ) Yes , because the computed t lies in the area beyond the criticalB ) No , because the development given up is non completeC ) No , because the computed t lies in the area to the right wing of 2 .718D ) of the above 12 From quondam(prenominal) records it is known that the come intent of a bombing used in a digital clock is 305 days . The battery life is unremarkably distributed . The battery was recently limited to last longer . A sample of 20 of the modify batteries was stressed . It was discovered that the mean life was 311 days and the sample standard deviation was 12 days . We want to testing at the 0 .05 level of significance whether the modification increases the life of the battery . What is our closing ruleA ) Do not decline the void supposal if computed t is 1 .96 or greaterB ) Reject the goose egg guesswork if computed t is slight than 1 .96C ) Do not reject the null opening if computed t is 1 .729 or greaterD ) Reject the null hypothesis if computed t is 2 .086 or greaterE ) of the above 13 .
A manufacturer wants to increase the denseness capacity of a scrounge . Based on past data , the average waste ones time could absorb 3 .5 ounces After the re creation , the absorption amounts of a sample of sponges were (in ounces : 4 .1 , 3 .7 , 3 .3 , 3 .5 , 3 .8 , 3 .9 , 3 .6 , 3 .8 , 4 .0 , and 3 .9 . What is the decision rule at the 0 .01 level of significance to test if the new design increased the absorption amount of the spongeA ) Do not reject null hypothesis if computed t is little than 2 .580B ) Do not reject null hypothesis if computed t is slight than 2 .821C ) Reject null hypothesis if computed z is 1 .96 or largerD ) Reject null hypothesis if computed t is slight than 2 .76414 . A machine is puzzle to fill the teeny-weeny size packages of M M candies with 56 candies per bag . A sample revealed : 3 bags of 56 , 2 bags of 57 , 1 bag of 55 , and 2 bags of 58 . How many degrees of freedom are thereA ) 9B ) 1C ) 8D...If you want to get a full essay, instal it on our website: OrderEssay.net
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