in the term? during this early-term period be used to predict higher academic performance A scatterplot of student's average total sleep time and end of term GPA is plotted below. The regression line has been added. Scatterplot of Average TST vs GPA for STEM-focused First Year University Students from Spring 2018 a. Write a paragraph describing the four features of the scatterplot between average total sleep time \( \rightarrow \) and end of term GPA. belher b. Based on the scatterplot, does there appear to be an association between average total sleep time and end of term GPA? Explain your reasoning.
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- Direction: Determine if the relationship between the variables is positive, negative, or neither. - Form: Determine if the relationship is linear or non-linear. - Strength: Determine if the relationship is strong, moderate, or weak. - Outliers: Identify any Show more…
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Christine is the dean of students at a college. She is concerned about the amount of sleep students are getting. In particular, Christine is making an inquiry on whether students who are enrolled in the pre-med program are getting less sleep on average compared to students who are enrolled in other programs. The average amount of sleep per night for a random sample of 10 pre-med students and 10 students in other programs is recorded. Assume that the population standard deviation of hours of sleep per night is 0.6 hours for the pre-med students and 0.8 hours for the students in other programs, and that the number of hours of sleep per night for both groups of students is normally distributed. Let the pre-med students be the first sample, and let the other students be the second sample. She conducts a two-mean hypothesis test at the 0.05 level of significance, to test if there is evidence that pre-med students are getting less sleep than students in other programs. (a) H0: ÎĽ1 = ÎĽ2; Ha: ÎĽ1 < ÎĽ2, which is a left-tailed test. Pre-Med Students Other Students 5.3 6.3 6 5 5.1 6.8 5.6 7.1 5.1 6.3 4.9 6.5 5.9 6.1 5.2 5.3 5.7 6.8 6.1 5.8 The above table shows the average amount of sleep per night for a random sample of 10 pre-med students and 10 students in other programs. (b) Use a TI-83, TI-83 Plus, or TI-84 calculator to test if the mean sleep for pre-med students is less than the mean sleep for other students. Identify the test statistic, z, and p-value from the calculator output. Round your test statistic to two decimal places and your p-value to three decimal places.
David N.
18. (Bonus) The following scatter plot indicates the relationship between the GPA of a group of 10 students and the number of hours each student spends watching TV each week. a. Is there a positive correlation or a negative correlation between the GPA of the students and the number of hours each student spends watching TV? b. Is the correlation strong or weak?
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