In 2017, it was reported that women sent on average 3,000 texts per month. It is believed that the number of texts sent has increased. In fact, a recent random sample of 60 women showed that they send an average 3,500 texts per month(X¯=3,500 texts) with a sample standard deviation of 600 texts (s=600 texts). Assume that the random variable, number of texts sent by women(denoted by X), is normally distributed.
Is this sufficient statistical evidence to show that women are now sending on average more than 3000 texts per month?
a) Specify the null and alternative hypotheses.