Although the Canadian and U.S. one-cent coins have slightly different dimensions

Question

Although the Canadian and U.S. one-cent coins have slightly different dimensions and alloy compositions, the two types of pennies have similar masses. The table below lists the masses of individual pennies from each country measured using the same balance. Compare the two sets of one-cent coins by determining calculated. Are the masses of the Canadian and U.S. one-cent coins significantly different at the 98% confidence level? The table of Student's t values can be found here. Assume that the population standard deviation (sigma) for each data set is the same. Masses of individual pennies The difference is significant The difference is not significant. Suppose the number of replicate measurements and the average mass of an individual penny remain the same, but the standard deviation of each data set is three times greater than its original value. Calculate the t value to compare these two data sets. For these sets of measurements, is there a significant difference in the masses of the two types of coins at the 98% confidence level? The difference is significant The difference is not significant.

Explanation / Answer

Two-Sample T-Test and CI

Sample N Mean StDev SE Mean
1 10 2.5250 0.0747 0.024
2 9 2.3300 0.0831 0.028

Difference = (1) - (2)
Estimate for difference: 0.1950
98% CI for difference: (0.1009, 0.2891)
T-Test of difference = 0 (vs ): T-Value = 5.36 P-Value = 0.000 DF = 16

I got the t calculated number 5.36. Please check it whether it is right or wrong.

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