Please answer in 5 minutes

Part 1. True/False (3 points; no explanation needed) Make judgement of each of the following statements, and circle TRUE or FALSE. Holding the confidence level fixed, increasing the sample size (with the sample mean and sample standard deviation also fixed) will lead to a wider confidence interval. TRUE FALSE Claim. 2. To test whether the population mean is equal to a certain number, you collect two samples of data and denote them as Sample A and Sample B. If the p-value of the sample mean is 0.045 for Sample A and 0.065 for Sample B, then Sample A has stronger evidence against the null hypothesis than Sample B. Claim: TRUE FALSE 3. Consider a hypothesis testing about the population mean. We reject the null hypothesis if, given significance level a. the observed sample mean, the probability for the null hypothesis to be true is less than the Claim: TRUE FALSE Part II. Short-Answer Questions (27 points; show your work for partial credits) 4. (15 points) A mobile app designer has placed several apps on the Google Play Store. She has observed that her revenues from a particular download are described by a normally distributed random variable with mean equal to $1.5 and standard deviation equal to $0.25. larger than $2? (a) What is the probability that campaign a particular download gives the designer a revenue