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Hypothesis Testing and Statistical Analysis: Exploring Mean Differences, Correlations, and Error Types

This document includes solutions related to hypothesis testing, correlations, and statistical errors.

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    Hypothesis Testing and Statistical Analysis: Exploring Mean Differences, Correlations, and Error Types 1. A researcher believed that there was a difference in the amount of time boys and girls at 7 th grade studied by using a two - tailed t test . Which of the following is the null hypothesis? a. Mean of hours that boys studied per day was equal to mean of hours that girls studied per day b. Mean of hours that boys studied per day was greater than mean of hours that girls studied per day c. Mean of hours that boys studied per day was smaller than mean of hours that girls studied per day d. Mean of hours that boys studied per day was smaller than or equal to mean of hours that girls studied per day 2. A professor assumed there was a correlation between the amount of hours people were expose to sunlight and their blood vitamin D level. The null hypothesis was that the population correlation was__ a. Positive 1.0 b. Negative 1.0 c. Zero d. Positive 0.50 3. Conventionally, the null hypothesis is false if the probability value is: a. Greater than 0.05 b . Less than 0.05 c. Greater than 0.95 d. Less than 0.95 4. A teacher hypothesized that in her class, grades of girls on a chemistry test were the same as grades of boys. If the probability value of her null hypothesis was 0.56, it suggested: a. We failed to reject the null hypothesis b. Boys’ grades were higher than girls’ grades c. Girls’ grades were higher than boys’ grades d. The null hypothesis was rejected 5. Which of the following could reduce the rate of Type I error? a. Making the significant level from 0.01 to 0.05 b. Making the significant level from 0.05 to 0.01 c . Increase the β level d. Increase the power

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