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Given the scores, answer the following in R studio: scores

Given the scores, answer the following in R studio:

scores <- data.frame(Exam1 = c(80,89,56,79,84,86,41,96,96,82),

Exam2 = c(74,75,70,72,79,93,80,80,75,91),

Exam3 = c(83,83,81,78,81,82,84,82,83,84),

Exam4 = c(62,82,86,77,90,60,95,72,79,78))

Q1 :

For Exam1 the mean is supposed to be 76.The thought is that it is not.So the Null hypothesis is that the mean is 76, while the alternative hypothesis is that it is more than that.Using the sample provided above, what is the mean (round to third decimal)

Q2:

To do the test for Exam1, you are going to perform a z-test.The population standard deviation is 20.What is the value of the test statistic z? (round to the nearest 3rd decimal)

Q3:

Using the numbers calculated for Exam1, what is the p-value? (round to the nearest 3rd decimal)

Q4:

If the significance level is 0.05, what can you conclude?

A.)Reject the null hypothesis

B.)Don't reject the null hypothesis

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