Fox Ear Stores, a division of States Clothing, is a chain of women's apparel stores operating in the USA. The chain recently ran a promotion in which discount coupons were sent to customers of other States Clothing stores. During the promotion, data was collected on a random sample of 100 in-store credit card transactions. Among other things, they collected data on the age of the customer and whether each customer made a purchase using a discount coupon (Promotional) or not (Regular). Fox Ear's management would like to use this sample data to learn about its customer base and to evaluate the promotion involving discount coupons. One question the advertising managers were hoping to answer is whether the differences in the ages of customers who used the discount coupon and those who did not is too great to have resulted from sampling error alone. Perform a two-sample t test for comparing two population means to answer this question. The first five rows of data look like this. Type of Customer Promotional Regular Regular Promotional Regular Dene group 1 to be promotional customers and group 2 to be regular customers. Import the dataset into SALT for analyzing. IA USE SALT IE USE SALT After you have clicked the tab for your selected topic and read the problem, answer the questions below. (a) Use SALT to summarize the data. Enter the sample size, mean, and standard deviation for these two groups in the table, rounded to three decimal places. (b) We need to verify the assumptions for using the two-sample t test for comparing two population means to analyze this dataset. The first assumption states that the two samples must be independently and randomly selected from the populations of interest or a representative sample from the population. Another way to think of this first assumption is that independent individuals or objects must be randomly assigned to treatments. Based on what you know about how this sample was collected, the two samples ./ independent random samples from the populations of interest. The second assumption requires the sample to be large enough to be reasonably sure that the sampling distribution will be at least approximately normal. Based on the two sample sizes, the second assumption I met. (c) Recall how each group was defined. The population mean for group 1 and for group 2 will be defined as follows. My = Mean of Group 1 u, = Mean of Group 2 Write the hypotheses for the difference between two population means to investigate whether there is a difference in the population means. (Enter != for # as needed.) Ho: H1 Use a significance level of a = 0.05. (d) Enter the requested values below. Round your test statistic to two decimal places, your P-value to four decimal places, and all other values to three decimal places. Difference of means: Standard Error: Test Statistic: Degrees of Freedom: P-value: Comparing the P-value with the significance level of 0.05, the P-value is greater than or equal to v the significance level. The decision is to fail to reject | the null hypothesis. Based on the sample data, there is not | convincing evidence that the two group means differ by more than what could have resulted from sampling error alone