Read the following scenario and complete each of the problems below:
A flashligh

Read the following scenario and complete each of the problems below:
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:
1. 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.
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.MTH160: Introduction to Statistics 2
Version 2
August 2020
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:
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.
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
Pusho.
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