A scientist is studying human memory. Subjects are shown a five-digit number for different lengths of...

A scientist is studying human memory. Subjects are shown a five-digit number for different lengths of time and then must write the number down. The subject either correctly recalls the number or fails to recall it. (Answer using R CODING) The results are as follows:

times <- c(10.73, 9.9, 9.61, 8.7, 8.56, 8.31, 8.18, 7.86, 7.63, 6.99, 6.66, 6.1, 5.92, 5.84, 5.67, 5.64, 5.56, 5.29, 5.1, 5.09, 4.92, 4.81, 2.86, 2.13, 2.05, 1.95, 1.67, 1.67, 1.38, 1.02)

correct <- c(1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0)

Here, times shows the amount of time given to the student, and correct is a Bernoulli variable, with 1 meaning the number was correctly recalled 0 meaning it was not.

a) Report your p-value, state your null hypothesis, state whether your p-value is significant, and interpret.

b) give a rough estimate for the time required for the number to be correctly recalled with 90% probability

Expert Solution

orchestra answered 1 year ago

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