Question

sunil and his friends have been using a group messaging app for over a year to chat with each other. he suspects that, on average, they send each other more than \[100\] messages per day. sunil takes a random sample of \[7\] days from their chat history and records how many messages were sent on those days. the sample data are strongly skewed to the right with a mean of \[125\] messages and a standard deviation of \[44\] messages. he wants to use these sample data to conduct a \[t\] test about the mean. which conditions for performing this type of significance test have been met?

Answer 1

The conditions that have been met to perform a t-test are a simple random sample, a sufficiently large sample size, and strong right skewness in the data.

Step-by-step explanation:

The conditions that have been met to perform a t-test are:

1. The data is a simple random sample.
2. The sample size is sufficiently large (in this case, n = 7) which allows for the use of the t-distribution.
3. The data is strongly skewed to the right, indicating a departure from normality.

Even though the data does not meet the assumption of normality, the t-test can still be used with a large enough sample size. However, it's important to consider the potential impact of the skewness on the validity of the test.