ix different national brands of chocolate chip cookies were randomly selected at the supermarket . The grams of fat per serving are as follows : 9; 9; 11; 8; 8. Assume the underlying distribution is approximately normal. NOTE: you are using a Student's t- distribution , you may assume that the underlying population is normally distributed . (In general , you must first prove that assumption , though .) (PART A) construct a 90% confidence interval for the population mean grams of fat per serving of chocolate chip cookies sold in supermarkets (ii)Sketch the graph (iii) Calculate the error bound. (Round your answers to two decimal places) (PART B ) If you wanted a smaller error bound while keeping the same level of confidence, what should have changed in the study before it was a done? [a.]determine the population. standard deviation [ b.] increase the sample size [c.] decrease the sample size [d.]nothing can be changed to guarantee a smaller error bound
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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