Question

# Noise levels at 4 volcanoes were measured in decibels yielding the following data: 153,156,168,138 Construct the...

Noise levels at 4 volcanoes were measured in decibels yielding the following data: 153,156,168,138 Construct the 99% confidence interval for the mean noise level at such locations. Assume the population is approximately normal.

Step 1 of 4: Calculate the sample mean for the given sample data. Round your answer to one decimal place.

Step 2 of 4: Calculate the sample standard deviation for the given sample data. Round your answer to one decimal place.

Step 3 of 4: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Step 4 of 4: Construct the 99% confidence interval. Round your answer to one decimal place.

1)

Sample mean = X / n

= 615 / 4

= 153.75

2)

Sample standard deviation = sqrt [ X2 - n 2 / n-1 ]

= sqrt [ 95013 - 4 * 153.752 / 3 ]

= 12.3390

3)

t critical value at 0.01 significance level with 3 df = 5.841

4)

99% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

153.75 - 5.841 * 12.3390 / sqrt(4) < < 153.75 + 5.841 * 12.3390 / sqrt(4)

117.7 < < 189.7

99% CI is ( 117.7 , 189.7 )

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• describe the type of empowering leadership perspective Denise Morrison used as ceo of Campbell soup company
asked 11 minutes ago
• (1) How much does a sleeping bag cost? Let's say you want a sleeping bag that...
asked 16 minutes ago
• Suppose you were asked to test some code for possible issues handling exceptions. Describe briefly how...
asked 23 minutes ago
• A mineral exploration firm is formed with enough capital to finance 9 ventures. The probability of...
asked 27 minutes ago
• Do you consider yourself an internal or an external? Why is knowing what modality you typically...
asked 40 minutes ago
• describe the basic functions of each component (block) of the ext4 filesystem.
asked 48 minutes ago
• Which of the following collections of vectors are linearly independent {[1,2],[2,3]} {[1,2,3],[2,4,6]} {[1,2],[2,3],[3,4]} {[1,0,1],[1,0,0],[2,01]} {[1,0,1],[1,0,0],[3,0,1]} {[1,0,1],[1,0,0],[3,0,1],[4,0,1]}...
asked 55 minutes ago
• What does a flexible budget performance report do that a simple comparison of budgeted to actual...
asked 59 minutes ago
• Define a function named sumsin that accepts double precision variable theta, double precision variable alpha, and...
asked 1 hour ago
• A dumbbell has a length of 2.3 m and all of its mass can be considered...
asked 1 hour ago
• I have a text file that looks like this: Hello a/m The letter "a" is a...
asked 2 hours ago
• Given the existence of two-dimensional array double A[M][N], where M and N are #defined as the...
asked 2 hours ago