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Math, 14.06.2021 10:55 20201947

Learning Task 1: Compute for the z-test of the following word problems and compare it to the z-tabular value then, interpret
(25 points each).

1. The Division Achievement Test (DAT) was administered to the different schools in
the Division of Calamba City. Two of the participating schools, Manuel Quezon
Integrated School with a mean score of 85.15 and a standard deviation of 17.35 and Jose Rizal Integrated School with a mean of 83.94 and a standard deviation of 15.64 were used to see if there is a significant difference between the school’s
performance in the DAT. Fifty (50) students for each school were randomly selected. Use 0.05 level of significance. (Two-tailed)

2. The Maxxis Company claims that the average lifetime of a certain tire is at least 28,000 km. to check the claim, a taxi company puts 40 of these tires on its taxis and gets the mean lifetime of 25,560 km. with a standard deviation of 1,350 km. Is
the companies claim true? Use 0.05 level of significance. (one-tailed)​

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