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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 MeanDifferences, Correlations, and Error Types1.A researcher believed that there was a difference in the amount of time boys and girlsat 7thgrade studied by using a two-tailed t test.Which of the following is the nullhypothesis?a.Mean of hours that boys studied per day was equal to mean of hours that girlsstudied per dayb.Mean of hours that boys studied per day was greater thanmean of hours that girlsstudied per dayc.Mean of hours that boys studied per day was smaller than mean of hours that girlsstudied per dayd.Mean of hours that boys studied per day was smaller than or equal to mean ofhours that girls studied per day2.A professor assumed there was a correlation between the amount of hours peoplewere expose to sunlight and their blood vitamin D level. The null hypothesis was thatthe population correlation was__a.Positive 1.0b.Negative 1.0c.Zerod.Positive 0.503.Conventionally, the null hypothesis is false if the probability value is:a.Greater than 0.05b.Less than 0.05c.Greater than 0.95d.Less than 0.954.A teacher hypothesized that in her class, grades of girls on achemistry test were thesame as grades of boys. If the probability value of her null hypothesis was 0.56, itsuggested:a.We failed to reject the null hypothesisb.Boys’ grades were higher than girls’ gradesc.Girls’ grades were higher than boys’ gradesd.The null hypothesis was rejected5.Which of the following could reduce the rate of Type Ierror?a. Making the significant level from 0.01 to 0.05b. Making the significant level from 0.05 to 0.01c. Increase theβleveld. Increase the power

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Statistics

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