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b) Consider the longer research article written by the European research team. i. In the Results section of the paper, of the 350,757 coin flips, report the number of those coin flips that landed on the same side as when the coin was launched. ii. Then, by hand, show how to compute, to three decimal places, the sample proportion of flips which landed on the same side as when the coin was launched. iii. In the Abstract of the paper, report the 95\% credible interval (CI) for the proportion of coin flips that would land on the same side as when the coin was launched. iv. Given your answer to questions ii) and iii) above, \begin{itemize} \item Show, by hand, how to compute the MOE that would be added onto your answer in part ii) to obtain the upper end of the CI from part iii). \item Show, by hand, how to compute the MOE that would be subtracted from your answer in part ii) to obtain the lower end of the CI from part iii). \end{itemize}

          b) Consider the longer research article written by the European research team.
i. In the Results section of the paper, of the 350,757 coin flips, report the number of those coin flips that landed on the same side as when the coin was launched.
ii. Then, by hand, show how to compute, to three decimal places, the sample proportion of flips which landed on the same side as when the coin was launched.
iii. In the Abstract of the paper, report the 95\% credible interval (CI) for the proportion of coin flips that would land on the same side as when the coin was launched.
iv. Given your answer to questions ii) and iii) above,
\begin{itemize}
    \item Show, by hand, how to compute the MOE that would be added onto your answer in part ii) to obtain the upper end of the CI from part iii).
    \item Show, by hand, how to compute the MOE that would be subtracted from your answer in part ii) to obtain the lower end of the CI from part iii).
\end{itemize}

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b) Consider the longer research article written by the European research team.
i. In the Results section of the paper, of the 350,757 coin flips, report the number of those coin flips that landed on the same side as when the coin was launched.
ii. Then, by hand, show how to compute, to three decimal places, the sample proportion of flips which landed on the same side as when the coin was launched.
iii. In the Abstract of the paper, report the 95% credible interval (CI) for the proportion of coin flips that would land on the same side as when the coin was launched.
iv. Given your answer to questions ii) and iii) above,

* Show, by hand, how to compute the MOE that would be added onto your answer in part ii) to obtain the upper end of the CI from part iii).

* Show, by hand, how to compute the MOE that would be subtracted from your answer in part ii) to obtain the lower end of the CI from part iii).

Added by Terri O.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Dominador Tan

02/26/2023

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We need this information to compute the sample proportion and the credible interval. Show more…

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b) Consider the longer research article written by the European research team. i. In the Results section of the paper, of the 350,757 coin flips, report the number of those coin flips that landed on the same side as when the coin was launched. ii. Then, by hand, show how to compute, to three decimal places, the sample proportion of flips which landed on the same side as when the coin was launched. iii. In the Abstract of the paper, report the 95% credible interval (CI) for the proportion of coin flips that would land on the same side as when the coin was launched. iv. Given your answer to questions ii) and iii) above, show, by hand, how to compute the MOE that would be added onto your answer in part ii) to obtain the upper end of the CI from part iii). v. Show, by hand, how to compute the MOE that would be subtracted from your answer in part ii) to obtain the lower end of the CI from part iii).

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Transcript

00:01 Hello everyone.

00:03 So here we need to solve this solution.

00:05 So first one, using the mini tab, we have to find either the sample standard deviation of the two variables coin one to four or their sample variances.

00:16 To do this, we run the following steps in your mini tab.

00:19 So first thing that you need to do is you need to enter the given data in your spreadsheet.

00:28 Second, you need to select stat, then basic, statistics and then descriptive statistics.

00:44 Third one, you need to select the standard deviation and also variance from the drop -down list.

00:58 Fourth, you need to select the columns to perform all the selected functions in the variable and five, you need to click okay.

01:31 Thus, we get the output as we have variable st -d -e -v and variance.

01:43 We have coin 1, 0 .543, 0 .295.

01:51 We have coin 4, 0 .363, 0 .131.

01:57 So we see that coin 1 has larger variance than coin 4, which means that it has less variability than coin 4.

02:05 Second is we have to use again the mini tab to obtain a 90 % to sample e interval.

02:19 For the differences, that is e, x sub 1 minus e, x4, where your x1 denotes the silver content in coins of the first coinage, and x4 denotes the silver content in coins of the fourth coinage.

02:38 So to do this, we run the following steps in minutau, which is the same as what we did from the first part.

02:45 And basically, we get an output for this one.

02:50 So we have two sample, e for coin one versus coin four.

03:02 So we have n, mean, standard deviation, s -e, and also the mean.

03:10 So we have coin one and we have coin four...

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