The following data represent the age (in weeks) at which babies first crawl based on a survey of 12 mothers conducted by Essential Baby (Source: www.essentialbaby.com). The ages are normally distributed. The Age (in weeks) When a Baby First Crawled 30 47 52 44 35 39 26 28 37 56 26 39 a) Using technology (calculator or Excel), find the sample mean and the sample standard deviation. (Round two decimal places) b) Find the 95% confidence interval for the population mean by hand. Show all work by writing the formula and substituting in the appropriate values. (Round two decimal places) c) Find the 95% confidence interval for the population mean using technology (calculator). (Round four decimal places) d) Interpret the solution in the context of the problem.
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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