$\checkmark 1$ $\checkmark 2$ 3 4 6 $=9$ 10 11 12 Fake Twitter followers: Many celebrities and public figures have Twitter accounts with large numbers of followers. However, some of these followers are fake, resulting from accounts generated by spamming computers. In a sample of 48 twitter audits, the mean percentage of fake followers was 13.6 with a standard deviation of 9.2 . Part: $0 / 2$ Part 1 of 2 Construct a $98 \%$ interval for the mean percentage of fake Twitter followers. Round the answers to one decimal place. A $98 \%$ confidence interval for the mean percentage of fake Twitter followers is $\square<\mu<\square$.

Step 1 ：Given values are mean = 13.6, standard deviation = 9.2, sample size = 48, and confidence level = 98%.

Step 2 ：Calculate the z-score for the given confidence level. The z-score for a 98% confidence level is approximately 2.326.

Step 3 ：Calculate the margin of error using the formula \(z \times \frac{\sigma}{\sqrt{n}}\), where z is the z-score, \(\sigma\) is the standard deviation, and n is the sample size. The margin of error is approximately 3.089.

Step 4 ：Calculate the confidence interval using the formula \(\mu \pm\) margin of error, where \(\mu\) is the mean. The lower bound of the confidence interval is \(13.6 - 3.089 = 10.5\) and the upper bound is \(13.6 + 3.089 = 16.7\).

Step 5 ：Final Answer: A 98% confidence interval for the mean percentage of fake Twitter followers is \(\boxed{10.5}<\mu<\boxed{16.7}\).