A marketing firm is doing research for an Internet-based company. It wants to appeal to the age group of people who spend the most money online. The company wants to know if there is a difference in the mean amount of money people spend per month on Internet purchases depending on their age bracket. The marketing firm looked at two age groups, 18-24 years and 25-30 years, and collected the data shown in the following table. Let Population 1 be the amount of money spent per month on Internet purchases by people in the 18-24 age bracket and Population 2 be the amount of money spent per month on Internet purchases by people in the 25-30 age bracket. Assume that the population variances are not the same. Internet Spending per Month 18-24 Years 25-30 Years Mean Amount Spent 55.19 65.24 Standard Deviation 11.39 13.68 Sample Size 21 25 Step 2 of 2: Interpret the confidence interval (- 16.43, – 3.67) obtained in Step 1. Answer E Tables в Кеурad Keyboard Shortcut Since the confidence interval contains zero, the data do not provide evidence that the population means are unequal at a 90% confidence level. We are 90% confident that the mean amount of money spent on Internet purchases for ages 18-24 years is between $3.67 and $16.43 more than the mean amount of money spent on Internet purchases for ages 25-30 years. Since the confidence interval does not contain zero, the data do not provide evidence that the population means are unequal at a 90 % confidence level. We are 90% confident that the mean amount of money spent on Internet purchases for ages 18-24 years is between $3.67 and $16.43 less than the mean amount of money spent on Internet purchases for ages 25-30 years.
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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