. Lacking a table of random numbers, Dan decided to use the last digits in a set
ID: 3433605 • Letter: #
Question
. Lacking a table of random numbers, Dan decided to use the last digits in a set of five-place tables of logarithms. The number of times each integer occurred in a sample of size n = 50 is given below. If the collection of last digits is random, then we would expect each integer to occur, on average, equally often.
Integer 0 1 2 3 4 5 6 7 8 9
Frequency 8 6 7 3 5 7 1 4 6 3
Do the observed frequencies meet this expectation? Perform the appropriate test and report your findings. Be sure to include all the necessary steps.
Explanation / Answer
Lacking a table of random numbers, Dan decided to use the last digits in a set of five-place tables of logarithms. The number of times each integer occurred in a sample of size n = 50 is given below. If the collection of last digits is random, then we would expect each integer to occur, on average, equally often.
Integer 0 1 2 3 4 5 6 7 8 9
Frequency 8 6 7 3 5 7 1 4 6 3
Do the observed frequencies meet this expectation? Perform the appropriate test and report your findings. Be sure to include all the necessary steps.
Null hypothesis: each integer to occur on average equally
Alternate hypothesis: each integer to occur on average not equally
Goodness of Fit Test
observed
expected
O - E
(O - E)
Goodness of Fit Test
observed
expected
O - E
(O - E)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.