Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1600 hours. Hoping to find support for their claim, the firm collects a random sample and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below.

Test of m <=1600 versus one-tailed alternative:

Hypothesized mean 1600.0

Sample mean 1609.5

Std error of mean 4.854

Degrees of freedom 24

t- test statistic 1.953

p-value 0.031

If you were to use a 5% significance level in this case, would you conclude that the mean life of the light bulb is typically more than 1600 hours? Explain