Students in a representative sample of 69 second-year students selected from a large university in England participated in a study of academic procrastination. Each student in the sample completed the Tuckman Procrastination Scale, which measures procrastination tendencies. Scores on this scale can range from 16 to 64, with scores over 40 indicating higher levels of procrastination. For the 69 second-year students in the study at the university, the sample mean procrastination score was 41.00 and the sample standard deviation was 6.83. n USE SALT (a) Construct a 95% confidence interval estimate of u, the population mean procrastination scale for second-year students this college. (Use technology to calculate the critical value. Round your answers to three decimal places.) (b) How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.422, 38.618)? What does this tell you about the difference between first-year and second-year students in terms of mean procrastination score? O The confidence interval for second-year students does not overlap and has values that are entirely below the confidence interval for first-year students. Therefore, it seems plausible that second-year students tend to procrastinate about the same as first-year students at this university. O The confidence interval for second-year students does not overlap, and has values that are entirely below the confidence interval for first-year students. Therefore, it seems plausible that second-year students tend to procrastinate less than first-year students at this university. O The confidence interval for second-year students overlaps the confidence interval for first-year students. Therefore, it seems plausible that second-year students tend to procrastinate less than first-year students at this university O The confidence interval for second-year students does not overlap and has values that are entirely above the confidence interval for first-year students. Therefore, it seems plausible that second-year students tend to procrastinate more than first-year students at this university. O The confidence interval for second-year students overlaps the confidence interval for first-year students. Therefore, it seems plausible that second-year students tend procrastinate about the same as first-year students at this university.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Students in a representative sample of 69 second-year students selected from a large university in England participated in a study of academic procrastination. Each student in the sample completed the Tuckman Procrastination Scale, which measures procrastination
tendencies. Scores on this scale can range from 16 to 64, with scores over 40 indicating higher levels of procrastination. For the 69 second-year students in the study at the university, the sample mean procrastination score was 41.00 and the sample standard deviation
was 6.83.
n USE SALT
(a) Construct a 95% confidence interval estimate of u, the population mean procrastination scale for second-year students at this college. (Use technology to calculate the critical value. Round your answers to three decimal places.)
(b) How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.422, 38.618)? What does this tell you about the difference between first-year and second-year students in terms
of mean procrastination score?
O The confidence interval for second-year students does not overlap and has values that are entirely below the confidence interval for first-year students. Therefore, it seems plausible that second-year students tend to procrastinate about the same as first-year
students at this university.
O The confidence interval for second-year students does not overlap, and has values that are entirely below the confidence interval for first-year students. Therefore, it seems plausible that second-year students tend to procrastinate less than first-year students
at this university.
O The confidence interval for second-year students overlaps the confidence interval for first-year students. Therefore, it seems plausible that second-year students tend to procrastinate less than first-year students at this university
O The confidence interval for second-year students does not overlap and has values that are entirely above the confidence interval for first-year students. Therefore, it seems plausible that second-year students tend to procrastinate more than first-year students
at this university.
O The confidence interval for second-year students overlaps the confidence interval for first-year students. Therefore, it seems plausible that second-year students tend to procrastinate about the same as first-year students at this university.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f69f0e8-5307-44d5-97d6-3c7fee9b2c40%2Fe9119941-c529-4d1a-8bea-e6c25d8f57df%2F7dlgjj_processed.png&w=3840&q=75)
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