Students in a representative sample of 65 first-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 65 first-year students in this study, the mean score on the procrastination scale was 37.1 and the standard deviation was 6.48. A USE SALT (a) Construct a 95% confidence interval estimate of u, the mean procrastination scale for first-year students this college. (Round your answers to three decimal places.) (b) Based on your interval, is 40 a plausible value for the population mean score? O Yes O No What does this imply about the population of first-year students? O This implies that students at this university always have high levels of procrastination. O This implies that students at this university sometimes have high levels procrastination. O This implies that on average, students at this university do have high levels of procrastination. O This implies that on average, students at this university do not have high levels of procrastination. O This implies that students at this university never have high levels of procrastination.
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.
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