of 5.78 cups per day. Use the 0.010 significance level. a. State the null and alternate hypotheses. multiple choice 1 a) H0: μRegular ≥ μDecaf H1: μRegular < μDecaf b) H0: μRegular < μDecaf H1: μRegular < μDecaf c) H0: μRegular < μDecaf H1: μRegular ≥ μDecaf b. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) c. Compute the p-value. NOTE: P-value calculators are available through online search.
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.
A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.37 cups per day and 1.47 cups per day for those drinking decaffeinated coffee. A random sample of 47 regular-coffee drinkers showed a mean of 4.39 cups per day. A sample of 40 decaffeinated-coffee drinkers showed a mean of 5.78 cups per day. Use the 0.010 significance level.
a. State the null and alternate hypotheses.
multiple choice 1
b. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
c. Compute the p-value. NOTE: P-value calculators are available through online search.
d. What is your decision regarding the null hypothesis?
multiple choice 2
e. Interpret the result.
The mean number of cubs for regular coffee drinkers is ________ decaffeinated coffee drinkers
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