QUGStlon 1 1 6 points Save Answer A local supermarket claims that the average weekly shopping spend at their store is less than or equal to $145. A skeptical shopper asked 40 random people leaving the store how much they spent, and found the average cost was $155. Based on consumer research, it can be assumed that the standard deviation of shopping spend is $38. 1. State the direction of the alternative hypothesis used to test the company's claim Type the letters gt (greater than), ge (greater than or equal to), It (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box. 2. Use the tables in the text to determine the critical value used to conduct the test, assuming a 5% level of significance. lfthere are two critical values, state only the positive value. 3. Calculate the test statistic, reporting your answer to three decimal places. 4. Is the null hypothesis rejected for this test? Type yes or no. 5. If the company's claim is shown later to be true, determine the nature of the decision made in the test. Type cd (correct decision), 1 (a Type I error was made) or 2 (a Type II error was made) as appropriate. 6. Regardless of your answer for 4, ifthe null hypothesis was rejected, could we conclude that the company's claim is valid? Type yes or no