The population mean for a college Introduction to Biology quiz is 15 points. A s

Question

The population mean for a college Introduction to Biology quiz is 15 points. A sample of 50 high school seniors earns an average of 16.53 points. A 95% t confidence interval for the true mean of high school seniors is [13.85, 19.21]. Based on this confidence interval, what would your decision be in regard to a 2-tailed null with an alpha level of 0.05?

Reject null, because the interval includes 16.53.

Reject null, because the interval includes 15.

Fail to reject null, because the interval includes 15.

Fail to reject the null, because the interval includes 16.53.

Reject null, because the interval includes 16.53.

Reject null, because the interval includes 15.

Fail to reject null, because the interval includes 15.

Fail to reject the null, because the interval includes 16.53.

Explanation / Answer

As 15 is inside the interval [13.85, 19.21], then there is no significant evidence that the true mean is not 15.

Hence,

OPTION C: Fail to reject null, because the interval includes 15. [ANSWER]

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