Answer:
Z-value is -2.15.
Yes, It is enough evidence to Reject the claim.
Explanation:
Given that,
Rate for teenage drivers average $410 less per year than the same coverage from another company. total number of customers are 35 and their average saving $390 per year. its standard deviation is $55.
To find :- What is the z-value rounded to the nearest hundredth ? is there enough evidence to reject the claim ?
so,
Z- value =

Here,
,
,
,

calculating the Z-value,
Z-value =

=

=

Now, for rejecting the claim we need to find the P- value
(a) p value is used in hypothesis testing to find the support or reject of null hypothesis.
(b) the smaller p - value gives a strong evidence that you can reject the null hypothesis.
P value =

Here we get that the P value is smaller than
. (
)
Hence,
Yes, It is enough evidence to Reject the claim.