According to Phones-R-Us, the average battery life on a new Model X phone is 28 hours with a standard deviation of 4.3 hours.Using a recent test of refurbished Model X phones, the company wishes to determine if the average battery life of refurbished phones of this model is significantly different at the 5% significance level.In using a collection of forty-five randomly selected refurbished Model X phones, they found an average battery life of 26.8 hours.

Give the null and alternative hypotheses for this test.

Determine the value of the test statistic

Determine the appropriate critical value(s).

Determine the P-value.

Is there sufficient evidence at the 5% significance level to believe the mean battery life on refurbished versions of the Model Xis different from that on new Model X phones?Explain your reasoning.