Atire company guarantees that a particular brand of tire has a mean useful lifetime miles or more. a consumer testing agency sampled n = 10 tires on a test wheel that simulated conditions. the sample mean lifetimes (in thousands of miles) were as follows: 42 36 46 43 41 35 43 45 40 39 construct a 98% ci for the mean lifetime of this particular brand of tire.

Step-by-step explanation:

Number of sampled tyres = 10

To determine the mean, we will divide the total number of miles by the total number of tyres.

Mean, u = (42+36+46+43+41+35+43+45+40+39)/10 = 410/10 = 41

Standard deviation = √[summation(u - ub)^2]/n

ub = deviation from the mean, u

Summation(u - ub)^2] = (42-41)^2 + (36-41)^2 + (46-41)^2 +(43-41)^2 + (41-41)^2 + (35-41)^2 + (43-41)^2 + (45 -41)^2 + (40-41)^2 + (39-41)^2

= 1 + 25 + 25 + 4 + 0 + 36 + 4 + 16 + 1 + 4 = 116

Standard deviation = √116/10 = √11.6

= 3.41

We want to determine a 98% confidence interval for the mean mean lifetime of a particular brand of tire.

For a confidence level of 98%, the corresponding z value is 2.33. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

41 +/- 2.33 × 3.41/√10

= 41 +/- 2.33 × 10.78

= 41 +/- 25.11

The lower end of the confidence interval is 41 - 25.11 =15.89

The upper end of the confidence interval is 41 + 25.11 = 66.11

Therefore, with 98% confidence interval, the mean lifetime of a particular brand of tire is between 15.89 miles and 66.11 miles

1,589.63 in.^3

step-by-step explanation:

i hope this you : d

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )