A social service agency operates a crisis phone hotline. If all counsellors are busy speaking to callers, a new caller is placed on hold until a counsellor becomes available. A sample of 14 recent calls to this hotline was selected and the amount of time that each caller was on hold was recorded, yielding a sample mean of x = 4.2 minutes and a sample standard deviation of s = 1.1 minutes. Let denote the overall mean on-hold time for calls to this hotline

If the agency wants to test if the overall mean on-hold time, for this hotline isdifferentfrom 5 minutes, what would the null hypothesis, Ho and the alternative hypothesis, Ha that the agency wishes to test be? What would the value of the t-statistic (under Ho) for this data be?

What would the estimate of the P-value, P for this test of hypothesis be expressed in the form, a < P < b for some numbers, a and b\

And is the data in this sample is statistically significant at the a= 0.05 significance level?