00:01
Hello students, as per the given question which is part a where collision claims tends to be skewed right because most claims are moderate, but there are some claims that are much bigger than the average.
00:13
So, this indicates that among the given options option b is the correct answer which holds the value most claims are moderate, but there are some claims that are much higher than the average.
00:29
Coming to the part b, given that the information about the two samples we need to perform a hypothesis test to determine if higher insurance premium should be paid to 20 to 24 year old driver when compared to 30 to 59 year old.
00:54
So, the hypothesis test involves comparing the means of these two samples.
00:59
Coming to the null hypothesis h naught, the means claim that this let us let this be mu 2 and is equals to the mean claims for this let this be mu 1 to mu 1.
01:16
So, we say that in other terms mu 1 is equals to mu 2 and coming to the alternative hypothesis the mean claims that mu 2 is greater than mu 1.
01:31
So, in the next step we need to calculate the test statistics using the formula where we have a formula as t is equals to x 1 bar minus x 2 bar by under root of s 1 square by n 1 plus s 2 square by n 2.
01:54
So, we have been given that x 1 bar is equals to 3676, x 2 bar is equals to 4528, s 1 is equals to 2072, s 2 is equals to 2272 and n 1 is equals to n 2 is equals to 40 and level of significance alpha is equals to 0 .05.
02:23
So, this is the given data let us substitute all the values that have been given and t is equals to 3676 minus 4528 divided by under root of 2072 whole square by 40 plus 2272 whole square by 40.
02:55
So, after calculating this value this is approximately minus 1 .75...