Suppose that 40 students have done a test; here are the results obtained. The grade mean of the entire school population is 90.
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Suppose that 40 students have done a test; here are the results obtained. The grade mean of the

entire school population is 90. We would like to check if there is a statistically significant difference (with a confidence level of 90%) between the means of the sample and the population, assuming that the population variance is known and equal to 15.

(65, 78, 88, 55, 48, 95, 66, 57, 79, 81

75, 58, 18, 35, 58, 96, 61, 52, 39, 44

61, 38, 68, 65, 88, 75, 46, 97, 72, 82

62, 78, 87, 50, 55, 99, 65, 53, 70, 84)


Please use a one sample Z-test, to solve the problem, and discuss if you accept the null hypothesis and why.

z.test(x = ? , mu = ? , sd = ?)


*You will need to install and then call a package as below:

install.packages("TeachingDemos")

library("TeachingDemos")

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