PE & SELF-ESTEEM 4 of 4 What is your statistical decision? A researcher is evaluating the effectiveness of a new physical education program for elementary school children. The program is designed to reduce competition and increase individual self-esteem. A sample of n = 35 children is selected and the children are placed in the new program. After 3 months, each child is given a standardized self-esteem test. Her sample received a sample mean of 41. For the general population of elementary school students, the self-esteem test has a population mean of 40 and a population standard deviation of 5. What is your statistical decision?

The boxplot below shows salaries for CPAS and Actuaries in a town. СРА Actuary 20 30 40 50 60 70 80 90 100 110 Salary (thousands of $) If a person is making the third quartile salary for a CPA, they are making less than % of Actuaries.

You are testing the claim that the proportion of men who own cats is smaller than the proportion of women who own cats.You sample 190 men, and 71 own cats.You sample 130 women, and 114 own cats.Find the test statistic, rounded to two decimal places

Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 73.5 63.9 64.3 85.5 62.7 69 88 63.9 65 64.3 Test grades are believed to be normally distributed.Use a significance level of 5%.

Macmillan Learning An extensive study in Antarctica concluded that the mean height of adult emperor penguins in the wild is 44.5 in. Cassandra believes that captive emperor penguins have a greater mean height due to better nutrition. To test this idea, she decides to conduct a one-sample t-test to see if the mean height of captive emperor penguins is greater than 44.5 in. She selects a simple random sample of 26 penguins from different zoos around the country and has each penguin measured. The summary statistics of the sample are given below. Sample size n = 26 Sample mean x = 45.6 in Sample standard deviation s = 4.3 in The heights of emperor penguins are normally distributed, and there are no outliers in the sample. Construct the null and alternative hypothesis for the appropriate one-sample t-test for the mean height of captive emperor penguins. Ho: H₁: =

You read a newspaper article that says that 74% of households in your town participate in a recycling program.  To test that statement at the 10% significance level, you randomly select 54 households in town and you find that 35 of them participate in the recycling program. Ho: P=0.74                  Ha:P=/ 0.74 Find the P-value.  Round your answer to 3 decimal places.

p = proportion of students who drop out due to lack of economic resources A sociologist thinks that in his country the percentage of students who drop out due to lack of economic resources is different from 40%. He takes a sample of 70 student dropouts and finds that 37 of them dropped out due to lack of financial resources.Can the sociologist, with a significance level of 0.05, consider that the percentage of students who drop out due to lack of economic resources is different from 40%? Choose 1. The correct conclusion2. The correct interpretationSelect one:to)1. H0 is rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongb)1. H0 is not rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongc)1.…