Dependent-measures t-test. As a college admissions counselor, you are tasked with reviewing a set of college applications. For each student in your set, you are given the high school English average and Math average. Before you make your selections, you want to determine whether there is a significant difference between the samples of scores. The data is as follows:          High School Average  English  Math  93  79  80  75  75  74  79  68  85  84  76  64

The floor exercise is a commonly shared event between the Women’s and Men’s Artistic Gymnastics programs. Let’s compare the floor exercise scores of the female gymnasts and male gymnasts. To do this, we will consider the 2007, 2011, and 2015 results as sample data. Part B: Apparatus Finals Let’s now look at the floor exercise scores in the Female Apparatus Finals and in the Male Apparatus Finals. Female Apparatus Finals Score Male Apparatus Finals Score 15.25 14.35 14.85 14.05 14.2 14.05 13.95 13.95 13.65 13.85 13.3 13.4 12.7 12.8 0 11.55 14.6 13.6 14.45 13.4 14.2 13.35 13.55 13.1 13.25 13.1 12.85 13.05 11.8 12.7 11.25 12.4 15 13 14.9 12.7 14.45 12.65 14.3 12.65 13.7 12.6 13.55 12.25 13.45 12.15 13.15 12.05 i. Find the sample mean and sample standard deviation for the floor exercise scores in the Female Apparatus Finals. ii. Find the sample mean and sample standard deviation for the floor exercise scores in the Male Apparatus…

You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 5.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. (Round up to the nearest integer.) b. Assume that a prior survey suggests that about 33% of air passengers prefer an aisle seat. n3= (Round up to the nearest integer.)

You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 90% confident that the sample percentage is within 5.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. (Round up to the nearest integer.) b. Assume that a prior survey suggests that about 38% of air passengers prefer an aisle seat. (Round up to the nearest integer.)

Indicate the statistical test you would conduct. Respondents in a survey of 1,000 households were asked about their travel history. Specifically, they were asked how often they have been to Europe in the past five years (using a ratio scale). People were also classified by interest type (art-lovers, food-lovers, or sports-lovers). The question is whether interest type influences travel history. Two-sample t-test Paired sample t-test One-way ANOVA none of those QUESTION 6 What is the corresponing alternative hypothesis for the scenario in question #5? The three interest types do not differ with regard to the number of times they have been to Europe in the last five years. Interest type and travel to Europe are not related. The number of times people have been to Europe does not depend on interest type. The three interest types differ with regard to the number of times they have been to Europe in the last five years.

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Task-1. Define the terms Population and Sample, why sampling is done and what are the characteristics of a good sample. Include examples, preferably with an engineering background.