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Author Archives: Anonymous

At the beginning of a semester, an anonymous survey was cond…

At the beginning of a semester, an anonymous survey was conducted on students in a statistics class. Two of the questions on the survey were about gender and how often students attend therapy. Below are the results. What test should we perform to see if gender and therapy attendance are associated?

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We are testing the following hypotheses: H0: μ = 0.5 HA: μ >…

We are testing the following hypotheses: H0: μ = 0.5 HA: μ > 0.5 The sample size is 36. The test statistic is calculated as t = 2.596. What is the p-value?

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At the beginning of a semester, an anonymous survey was cond…

At the beginning of a semester, an anonymous survey was conducted on students in a statistics class. Two of the questions on the survey were about gender and how often students attend therapy. Below are the results. What is the chi-square contribution for males who never attend therapy? Meaning, what is the component of the chi-square statistic for the cell corresponding to males who said “never”?

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Suppose we conduct a chi-square test for independence to det…

Suppose we conduct a chi-square test for independence to determine if year in school (Freshman, Sophomore, Junior, Senior) and favorite season (Winter, Spring, Summer, Fall) are related.   H0: Year in school and favorite season are not associated. HA: Year in school and favorite season are associated.   We get a chi-square statistic of 13.04. Obtain the degrees of freedom and use your chi-square table to find a range for the p-value. What is the appropriate conclusion at a significance level of α = 0.05?

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A local high school wants to be able to predict the GPA for…

A local high school wants to be able to predict the GPA for its graduating seniors. The correlations of GPA with several other variables are as follows: ACT Score: 0.478 SAT Score: 0.312 Household Income: 0.017 Number of siblings: -0.914 Which variable has the strongest linear relationship with GPA?

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In a study of voter behavior in Texas, the population is fir…

In a study of voter behavior in Texas, the population is first divided into voting districts. A random selection of districts is then chosen, and all voters within the selected districts are included in the sample. What type of sampling method is being used?

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Simple random samples of size n=50n = 50 were drawn from fiv…

Simple random samples of size n=50n = 50 were drawn from five different populations. For each population, the minimum and maximum values were 0 and 10, respectively. The resulting samples are displayed in the histograms below, all drawn to the same scale, with frequency on the y-axis..     Which graph corresponds to the sample with the smallest standard deviation? (Note that the order of the graphs below may differ; the color name of each graph appears above the corresponding graph.)  

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The following data has a median of 5 and an IQR of 2.5: Doe…

The following data has a median of 5 and an IQR of 2.5: Does this data contain any outliers?

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A professor in the Statistics Department is interested in su…

A professor in the Statistics Department is interested in surveying students enrolled in STAT 302. To construct a sample, the professor orders all STAT 302 students in descending order of their average exam score on the first two exams, begins with the student with the third-highest average, and then selects every seventh student thereafter. What type of sampling method is being used?

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A study is examining the relationship between sodium consump…

A study is examining the relationship between sodium consumption and blood pressure. A total of 100 participants are selected for the study, and their daily sodium intake (in mg) is recorded for each subject daily over the course of the next year. After one year, researchers measure each participant’s blood pressure and compare it to their average daily sodium intake. This is a _______ study.

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