If population mean height for3-year-old boys is 37 inches. Suppose a random sample of 153-year-old boys from Country B showed a sample mean of 36.1 inches with a standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Find the test statistic t = Answer ____ (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value = Answer ____ (Type an integer or decimal rounded to two decimal places as needed.) B. Suppose the sample consists of 30 boys instead of 15 and repeat the test. Find the test statistic. T= Answer _____ (Type an integer or decimal rounded to two decimal places asneeded.) Find the p-value = Answer______ (Type an integer or decimal rounded to three decimal places as
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.
If population
a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05.
Find the test statistic t = Answer ____ (Type an integer or decimal rounded to two decimal places as needed.)
Find the p-value = Answer ____ (Type an integer or decimal rounded to two decimal places as needed.)
B. Suppose the sample consists of 30 boys instead of 15 and repeat the test.
Find the test statistic. T= Answer _____ (Type an integer or decimal rounded to two decimal places asneeded.)
Find the p-value = Answer______ (Type an integer or decimal rounded to three decimal places as
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