Question

Question 5 [6 marks] Medics Records, a data-entry corporation is experimenting with a new user interface for their employees to use for coding medical records. They randomly selected 42 employees and recorded the number of records they entered per day under the old interface. The same employees were given a month to try the new interface and then recorded the number of records they entered per day under the new interface. The table below summarizes the result: Old Interface New Interface Sample mean Sample standard deviation Mean difference Standard deviation of difference 630 695 87 92 65 7.2 Test at the 1% significance level whether the new interface increases the average number of records entered in a day by more than 60. [1 mark] Но НА Test Statistic [2 marks, 2 decimals]. P-value [2 marks, 4 decimals]. Decision with justification [0.5 mark]. Conclusion: Circle the Correct One [0.5 mark] A. Yes, there is enough evidence to conclude that the new interface increases the average number of records entered in a day by more than 60. B. No, there is not enough evidence to conclude the new interface increases the average number of records entered in a day by more than 60.

Answer 1

The Hypothesis

H0: $\mu_d$ = 60

Ha: $\mu_d$ > 60

The Test Statistic:

+ Td - 60) 65 - 60 2 = 4.50 Vin)

P value (right tail), df = 41 is 0.0000

Since p value is < $\alpha$ (0.01), we reject H0.

The Conclusion: Option A: Yes, there is enough evidence that the new interface increases the average number of records in a day by more than 60.