00 Verizon 8:50 AM laulima.hawai..edu 7. Identify if the following statements ar
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00 Verizon 8:50 AM laulima.hawai..edu 7. Identify if the following statements are true (T) or false (F) 1) The shape of the t distribution changes as the sample size changes.( 2) The 95% confidence interval for the difference between means o this information, we can conclude that there is no significant difference between the groups at t f two groups ranges from -2.50 to 5.50. Based on he 0.05 significance level. 3) People with high incomes tend to have high living expenses and people with low incomes tend to have low living expenses. This indicates a positive relationship between income and living expenses. ( 4) Researcher A reported r =-0.86. Researcher B reported r = 0.43. The correlation coefficient reported from Researcher B is stronger because the value is higher than the coefficient of Researcher A. ( 8. Super Vending Machines Company is to install soda pop machines in elementary schools and high schools. The market analysts wish to know if flavor preference and school level are independent. A total of 200 students were taken randomly from elementary and high schools. Their school level and soda pop preferences are given in the following table. Can the market analysts conclude that the preference and school level are independent? To answer the question, choose a statistical method that can answer the question. Perform the hypothesis testing at the level of 0.05. Show all of your calculations. (Extra credits will be given for SPSS analysis) igh school 12 57 20 35Explanation / Answer
7.(1)
True
As n increases in size, the shape of the t-distribution begins to resemble a normal distribution and the t-scores become smaller.
(2)
False
If the confidence interval for the difference does not contain zero, we can conclude that there is a statistically significant difference in the two population values at the given level of confidence.
(3)
True
Because, both variables move in same direction.
(4)
True
A high value of r means that there is a strong positive correlation between variables. However, there is another measure r^2 ( r- square) which gives what percentage of the total variation in the variables is explained by this correlation. Howevr, a high r does not mean a very high percentage of variation.
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