**Answer:**

**(-19.92, 21.488)**

**Step-by-step explanation:**

**given data:**

**98% confidence interval**

Critical value of z at 98% confidence interval is t = 2.33

standard deviation = 5.031

sample mean = 9.808

z statistic to construct 98% confidence interval.

Margin of error = t * standard deviation = 2.33 * 5.013 = 11.680

98% confidence interval of mean is,

(9.808 - 11.68, 9.808 + 11.68)

**(-19.92, 21.488)**

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