Answer :
A comparison of the test statistic to a critical value will reveal any statistically significant difference. Without data, it's impossible to say if there's evidence to support the claim.
The question you are asking seems to be related to inferential statistics, which is a branch of mathematics that deals with making predictions or inferences about a population based on a sample of data from that population. To determine whether the mean locksmith service charge in a city is greater than $181, one would typically use a hypothesis test, such as the one-sample t-test, if the standard deviation of the population is unknown, or a z-test if the standard deviation is known and the sample size is sufficiently large.
To perform such an analysis, you would need data on a sample of locksmith service charges from the city. The null hypothesis (H0) would state that the mean service charge is $181, and the alternative hypothesis (H1) would state that the mean service charge is greater than $181. After calculating the test statistic using your sample data, you would compare it to a critical value from a t-distribution or the standard normal distribution, depending on the test. This comparison will help you determine whether there is enough evidence to reject the null hypothesis and conclude that the mean service charge is indeed greater than $181.
