External link to Statistics and probability

Statistics and probability

Suppose the statistician ignored the fact that the data were in the form of matched pairs, but instead treated them as two independent samples, one involving the standard fuel and the other involving Petrocoal. Would Petrocoal pass the test? What is the reason for the difference in results? Do the data satisfy the assumptions required for the two-sample t-test to be valid in this case?

External link to Business Statistics

Business Statistics

A factory manager collected a sample of ten (10) packets of 3 -in-1 coffee and the weights (in grams) of each packet are recorded as follow.25232628242126242527begin{array}{lllll}25 & 23 & 26 & 28 & 24 \ 21 & 26 & 24 & 25 & 27end{array}2521_2326_2624_2825_2427_Calculate(a) the mean weight of a packet of 3 -in-1 coffee.(b) the sample standard deviation of the data collected.(c) find a 90%90 […]

External link to Business Statistics

Business Statistics

1. T_ spent serving a customer at a cafe is normally distributed, with _=7mu=7_=7 minutes and _=1.8sigma=1.8_=1.8 minutes.(a) If you select a random sample of duration serving twenty-five ( 25 ) customers, determine the probability that the sample mean is between 6.8 and 7.2 minutes.(b) If you select a random sample of 144 customers, determine the probability that the sample mean is between 6.8 and […]

External link to Business Statistics

Business Statistics

A service counter manager wishes to ensure that an average of 16 seconds to serve a customer. In order to analyse the efficiency of the service process, he takes a random sample of 56 customers. The mean service time of the sample is 15.8 seconds. Assume that the population standard deviation is 0.8 seconds.(a) State the and the altemative hypotheses for the test.(b) Use the […]

External link to Business Statistics

Business Statistics

A survey camied out by John claims that the average cost of living for households in City 1 is more than that in City 2 :City1City2x1_=164x2_=159_1=12.50_2=9.25n1=35n2=30 begin{array}{|c|c|} hline text { City 1 } & text { City 2 } \ hline overline{x_{1}}=164 & overline{x_{2}}=159 \ hline sigma_{1}=12.50 & sigma_{2}=9.25 \ hline n_{1}=35 & n_{2}=30 \ hline end{array} City1x1__=164_1_=12.50n1_=35_City2x2__=159_2_=9.25n2_=30__(a) Specify the competing hypotheses to test John’s […]

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