## The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has undertaken severa Question The average gasoline price of one of the major oil companies in Europe has been$1.25 per liter. Recently, the company has undertaken several efficiency measures in order to reduce prices. Management is interested in determining whether their efficiency measures have actually reduced prices. A random sample of 49 of their gas stations is selected and the average price is determined to be $1.20 per liter. Furthermore, assume that the standard deviation of the population is$0.14.

a) Compute the standard error

b) Compute the test statistic

c) What is the p-value?

d) Develop appropriate hypothesis such as the reject of the null will support the contention that management efficiency measures had reduce gas prices in Europe.

e) At α = 0.05, what is your conclusion? Use critical value approach

f) Repeat the preceding hypothesis test using the p-value approach.

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1 week 2021-11-21T13:04:43+00:00 1 Answer 0 views 0

a) b) c) d) Null hypothesis: Alternative hypothesis: e) For this case we need to find a critical value who accumulate 0.05 of the area in the left at the normal standard distribution and we got: Since our calculated value is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level provided of 5%

f) Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis at 5% of significance. Same result with the critical value approach.

Step-by-step explanation:

For this case we want to test is the true mean for the gasoline prices are significantly reduced from \$1.25 per liter, so then the system of hypothesis are:

Null hypothesis: Alternative hypothesis: Part a

The standard error for this case is given by: Part b

The statistic for this hypothesis is given by: And replacing the info provided we got: Part c

Since we are conducting a left tailed test the p value would be given by: And we can use the following excel code to find it:

=NORM.DIST(-2.5,0,1,TRUE)

Part d

Null hypothesis: Alternative hypothesis: Part e

For this case we need to find a critical value who accumulate 0.05 of the area in the left at the normal standard distribution and we got: Since our calculated value is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level provided of 5%

Part f Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis at 5% of significance. Same result with the critical value approach.