Assume that a sample is used to estimate a population mean μμ. Find the 90% confidence interval for a sample of size 965 with a mean of 28.3 and a standard deviation of 13.1. Enter your answer as a tri-linear inequality accurate to 3 decimal places. < μμ <
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.
Assume that a sample is used to estimate a population
< μμ <
A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 70 specimens and counts the number of seeds in each. Use her sample results (mean = 71.6, standard deviation = 18.2) to find the 95% confidence interval for the number of seeds for the species. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places.
95% C.I. =
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