AutoSave O OFF 9.069 .. " MTH160_hypothesis_testing_of_sample_mean_worksheet_8-2020.docx - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Developer ? Tell me Share Comments Arial 10 A A Aa Po AaBbCcDdEe AaBbCcDdEe AaBbCcDdEe AaBbCcDdEe AaBbCcDdE AaBbCcDdEe Paste BIUabX x A LA EEEE APA Citation Assignment Assignments.. First-Level B... Heading 1 Heading 2 styles Dictate Editor Pane Clipboard Font Paragraph Styles Voice Editor A flashlight company claims that the new bulb in its heavy duty flashlight will average 246 hours of light. A statistics student decides that he/she wants to test this claim at a 5% level of significance to determine if there is evidence to support the claim. The student randomly selects and tests 15 flashlight bulbs and records how long the bulb lasts until it burns out. Assume the life of a bulb is normally distributed. The data is in the table below: Trial 1 3 4 5 6 8 9 10 11 12 13 14 15 Hrs: 246 224 231 242 237 240 243 236 239 255 256 239 247 231 253 Evaluate the claim based on the following assumption: The standard deviation of the POPULATION is 7.4 hours a. Identify the type of test you will use to test the claim that the flashlight will average 246 hours of light. Explain your reasoning b. State the null and alternate hypotheses. c. Conduct the hypothesis test and determine the p-value. d. State your conclusion about the claim that the flashlight will average 246 hours of light. 2. Evaluate the claim based on the following assumption: The POPULATIONS's standard deviation is NOT KNOWN. a. Identify the type of test you will use to test the claim that the flashlight will average 246 hours of light. Explain your reasoning. b. State the null and alternate hypotheses. Conduct the hypothesis test and determine the p-value. d. State your conclusion about the claim that the flashlight will average 246 hours of light. 3. Write a 200- to 400-word statement comparing and contrasting the two hypothesis test procedures and results. Read the following scenario and complete each of the problems below: Page 1 of 2 530 words English (United States) IT Focus E + 129%AutoSave O OFF A A ) . C G 9 ... MTH160_hypothesis_testing_of_sample_mean_worksheet_8-2020.docx Insert Draw Design Layout References Mailings Review Developer ? Tell me Share Comments Home View Arial 10 A A Aa Po AaBbCcDdEe AaBbCcDdEe AaBbCcDdEe AaBbCcDdEe AaBbCcDdE AaBbCcDdEe EEEE APA Citation Assignment Assignments.. First-Level B... Heading 1 Heading 2 styles Dictate Editor Paste BIU ab x x A LA Pane Voice Clipboard Font Paragraph Styles Editor A new car manufacturing company has emerged and has claimed that its new hybrid car, the Pusho, gets a better gas mileage than the highest ranked Toyota Prius. Consumer Reports Magazine decides to test this claim at a 5% level of significance. Consumer Reports randomly selects 10 of each type of car, calculates the miles per gallon for each car in the study, and records the data in the table below. Assume miles per gallon of the cars is normally distributed. Pusho 54.1 52.4 55.7 49.7 50.6 48.9 51.8 54.5 56.9 49.8 Prius 53.2 54.3 49.8 50.1 50.5 56.1 47.8 53.4 56.8 48.7 1. Evaluate the claim that the Pusho gets a better gas mileage than the highest ranked Prius using the data from the Consumer Reports study. a. Identify the type of test you will use to test this claim. Explain your reasoning. b. State the null and alternate hypotheses. c. Conduct the hypothesis test and determine the p-value. d. State your conclusion about the claim 2. Suppose that Toyota makes a counter-claim that their Prius has a higher gas mileage than Pusha a. How could the alternative hypotheses from Part 1. be changed to test Toyota's claim? b. Identify the type of test you will use to test this claim. Explain your reasoning. c. State the null and alternate hypotheses. d. Conduct the hypothesis test at the 5% level of significance for Toyota's claim. e. State your conclusion about the claim. Based on your analysis of both claims from the makers of Pusho and Prius, what statement can be made about the miles per gallon of the two cars? Was it necessary to do both hypothesis tests? Explain your reasoning. 530 words Focus E + 129% Page 2 of 2 English (United States)