00:02
Hello students, as per the given question let us solve the problem step by step.
00:06
So, let us first evaluate the null hypothesis h naught where it states that assumes that the buying claim is true where mean means that the mean time is in line is less than or equals to 1 .7 mean.
00:22
So, in the representation form it is mu less than or equals to 1 .7 and the alternative hypothesis which is h a it is mu greater than 1 .7 where it contradicts the bank's claim and assumes that the mean waiting time in line is greater than 1 .7 minutes.
00:45
So, in the next step let us determine the significance level alpha which is the probability of taking a type 1 error which is rejecting the null hypothesis when it is true.
00:55
So, alpha is given as 0 .05 and let us calculate the test statistics.
01:02
So, in order to calculate the test statistics we have a formula which is z is equals to x bar minus mu by sigma by root n.
01:14
So, where x bar x bar is a sample mean which is 1 .5 minus where mu is the population mean which is 1 .7 and sigma is the population standard deviation which is 0 .8 by n is the sample size which is 20...