Final answer:
To calculate the test statistic, use the formula: t = (x - μ) / (s / sqrt(n)). Substitute the given values into the formula.
Step-by-step explanation:
To calculate the test statistic, we need to know the standard deviation of the sample, denoted as s. In this case, the value of s is given as 5.1. The test statistic, denoted as t, is calculated using the formula:
t = (x - μ) / (s / sqrt(n))
Substituting the given values, we get:
t = (49 - 5.51) / (5.1 / sqrt(n))
Since the value of n (the sample size) is not provided, we cannot determine the exact value of the test statistic. However, if you have the sample size, you can calculate the test statistic by plugging in the values into the formula.