Anystate auto insurance company took a random sample of 360 insurance claims paid out during a 1-year period. the average claim paid was $1510. assume σ = $236. find a 0.90 confidence interval for the mean claim payment. (round your answers to two decimal places.) lower limit $ upper limit $ find a 0.99 confidence interval for the mean claim payment. (round your answers to two decimal places.) lower limit $ upper limit $

The formula to find the confidence interval is given by :-

, where = Sample mean

z* = Critical value.

SE = Standard error , , = Population standard deviation.

n= Sample size.

As per given , we have

n= 360

We know that the critical value for 0.90 confidence interval : z* = 1.645

Then,  a 0.90 confidence interval for the mean claim payment.will be :

∴ a 0.90 confidence interval for the mean claim payment.  = ($1489.45,$1530.55)

We know that the critical value for 0.99 confidence interval : z* = 2.576

0.99 confidence interval for the mean claim payment will be :

∴ a 0.99 confidence interval for the mean claim payment.  = ($1477.83, $1542.17)

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.