Statistics and Probability Answers

XY company claims that their lightbulb can last for 6,000 hours. 24 samples were tested, and the average lifespan is 5600 hours with a standard deviation of 300. is there a convincing evidence that the XY lightbulbs cannot last for 6,000 hours?

a) formulate the null and alternative hypothesis

b) determine what test statistic to use

c) calculate the test statistic value

Determine the appropriate test statistic to be used in the given statements. And then, make an inference by following the steps in testing hypotheses.

Coca-Cola produced 1.5 liters of soda. The production department reported that the standard deviation of the bottle is 0.7 liter. The quality control department conducted a random checking on the content of the bottles and obtained 1.45 liters from 100,1.5 liters bottles. Test if there's enough evidence that the average amount in bottles is different from the standard 1.5 liters. Use a 5% level of significance.

A researcher is conducting a study on the average time consumed by HS students in playing mobile games. A sample of 50 HS students has an average of 200 minutes. Test the null hypothesis that the average time consumed by students is 240 minutes with a population standard deviation of 20.

a) formulate the null and alternative hypothesis

b) determine what test statistic to use

c) calculate the test statistic value

A teacher claims that the average of students enrolled in Statistics is 88. A sample of 25 Statistics students has an average of 86 and standard deviation of 4. Is there enough evidence to reject the teacher's claim?

a) formulate the null and alternative hypothesis

b) determine what test statistic to use

c) Calculate the test statistic value