[Objective: Understand the Hypothesis Test of the Mean] Suppose a Consumer

question 5

Multiple Choice

[Objective: Understand the hypothesis test of the mean] Suppose a consumer product researcher wanted to find out whether a Sharpie lasted longer than the manufacturer's claim that their Sharpies could write continuously for a mean of 14 hours. The researcher tested 40 Sharpie's and recorded the number of continuous hours each Sharpie wrote before drying up. Test the hypothesis that Sharpies can write for more than a mean of 14 continuous hours. Following are the summary statistics: =14.5 hours, s=1.2 hours
At the 5% significance level, t=2.635 ; p=0.006. State your conclusion about the original claim.

• A) Do not reject the null hypothesis; there is not strong enough evidence to suggest that the Sharpies last longer than a mean of 14 hours.
• B) Reject the alternative hypothesis; there is strong evidence to suggest that the Sharpies last longer than a mean of 14 hours.
• C) Reject the null hypothesis; there is strong evidence to suggest that the Sharpies last longer than a mean of 14 hours.
• D) There needs to be more data to determine if the Sharpies last longer than a mean of 14 hours.

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Definitions:

Finally Block

A block of code that follows a try-catch structure, which is executed regardless of whether an exception is caught or not.

Try Block

A block of code that is tested for errors while it is being executed.

Finally Block

A block of code in certain programming languages that is executed after a try block, regardless of whether an exception was thrown or caught.

Last Catch Block

The final block in a series of try-catch statements in programming that catches any remaining uncaught exceptions.