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 45 high school seniors earns an average of 18.54 points. A 90% t confidence interval for the true mean of high school seniors is [15.87, 21.20]. Based on this confidence interval, what would your decision be in regard to a 2-tailed null with an alpha level of 0.1?

Reject null, because the interval includes 18.54.

Fail to reject the null, because the interval includes 18.54.

Fail to reject null, because 15 is not in the interval.

Reject null, because 15 is not in the interval.

Reject null, because the interval includes 18.54.

Fail to reject the null, because the interval includes 18.54.

Fail to reject null, because 15 is not in the interval.

Reject null, because 15 is not in the interval.

Explanation / Answer

Since, the population mean specified as 18.54 or the reference value which is mentioned in the null hypothesis H0 (18.54) is within the confidence interval [15.87, 21.20] fail to reject the null in regard to a 2-tailed null with an alpha level of 0.1.

Thus the required answer is:Fail to reject the null, because the interval includes 18.54.

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