2. Population Means - Independent Samples Nightingale shoes is interested to know who is spending more on their brand: women or men. They surveyed the first 200 people who entered their store. They found that 89 men on average spent $65 with a standard deviation of 56. On the other hand. 111 women spent 57'2 with a standard deviation of $23. Test the claim that women spend more on Nightingale shoes then men. Assume a 0.05 signicance level and the population standard deviations are unknown. Men Spending Women Spending 2a. 'Write the hypotheses in symbolic form, determine if the test is righttailed, lefttailed, or two tailed and explain why. 2b. Calculate the critical value, the test statistic, and p-value. Show calculations below. Explain your calculations and Include your results. Critical Value Test Statistic pvalue 2c. Make a decision about the null hypothesis using both 1he Critical Value and P-Value Methods. Explain how you arrived at your results. 2d. Restate your conclusion in nontechnical terms