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 oí individual pennies from each country measured using the same balance. Compare the two sets of one-cent coins by determining talculated. Are the masses of the Canadian and U.S. one-cent coins significantly uiterent at the 98% confidence level? The table of Student's t values can be found here. Assume that the population standard deviation (o) for each data set is the same. Masses of individual pennies Number O The difference is significant. The difference is not significant Canadian US 12.3482.555ted0 2 32.299 4 2.328 2.560 of an individual penny remain the same, but the standard deviation of 5 2.368 6 2.319 2.491 is there a significant difference in the masses of the two types of coins at 7 2.354 8 2.338 2.530 9 2.308 2.534 10 culated 2 2.374 2.507 2.493 Suppose the number of replicate measurements and the average mass 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 the 98% confidence level? 2.354 2.542 Number O The difference is significant. The difference is not 2.512 O significant.

Explanation / Answer

For Part 1, t_calculated = -16.285
The difference is significant, because the p-value is much less than alpha (level of significance) (= 0.02).

For Part 2, t_calculated = -5.4283
The difference is significant, because the p-value is much less than alpha (level of significance) (= 0.02).

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.