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# 1. The SAT is a standardized test comprised of two parts: Verbaland Math. A college is interested in the SAT scores of theirincoming class, so they randomly sample...

## Question

###### 1. The SAT is a standardized test comprised of two parts: Verbaland Math. A college is interested in the SAT scores of theirincoming class, so they randomly sample 34 scores from admittedstudents, yielding the following statistics: the mean SAT Verbalscore was 585.7 with standard deviation 94.8, and the mean SAT Mathscore was 622.1 with standard deviation 134.2. One departmentwants to know if the average SAT Math score of incoming students isstatistically significantly less than 650 points, so

1. The SAT is a standardized test comprised of two parts: Verbal and Math. A college is interested in the SAT scores of their incoming class, so they randomly sample 34 scores from admitted students, yielding the following statistics: the mean SAT Verbal score was 585.7 with standard deviation 94.8, and the mean SAT Math score was 622.1 with standard deviation 134.2. One department wants to know if the average SAT Math score of incoming students is statistically significantly less than 650 points, so they test this hypothesis. What is the value of their test statistic? 2. Helga knows that her quiz performance for class varies based on how well she sleeps. In general, she estimates that if she sleeps well, there is a 91% chance she will pass a quiz; but if she does not sleep well, there is a 50% chance she will pass a quiz. She gets a good night's sleep 76% of the time. Today Helga passed her class quiz. (Yay!) What is the probability she slept well last night?

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