Question

In: Statistics and Probability

A: Use the Student's t distribution to find tc for a 0.95 confidence level when the...

A: Use the Student's t distribution to find tc for a 0.95 confidence level when the sample is 15. (Round your answer to three decimal places.)

B: The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution.

1320 1208 1229 1229 1268 1316 1275 1317 1275

(a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)

x = A.D.
s = yr


(b) Find a 90% confidence interval for the mean of all tree ring dates from this archaeological site. (Round your answers to the nearest whole number.)

lower limit     A.D.
upper limit    

A.D.

C: The method of tree-ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution.

1,243 1,222 1,257 1,257 1,268 1,316 1,275 1,317 1,275

(a)

Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)

x

= A.D. s= yr

(b)

When finding an 90% confidence interval, what is the critical value for confidence level? (Give your answer to three decimal places.)

tc =

What is the maximal margin of error when finding a 90% confidence interval for the mean of all tree-ring dates from this archaeological site? (Round your answer to the nearest whole number.)

E =  

Find a 90% confidence interval for the mean of all tree-ring dates from this archaeological site. (Round your answers to the nearest whole number.)

lower limit A.D. upper limit A.D.

Solutions

Expert Solution

x (mean-xi)^2
1320 2422.82716
1208 3941.049383
1229 1745.382716
1229 1745.382716
1268 7.716049383
1316 2045.049383
1275 17.82716049
1317 2136.493827
1275 17.82716049
Total 11437 14079.55556
mean 1270.7778
s 41.9517

x (mean-xi)^2
1243 729
1222 2304
1257 169
1257 169
1268 4
1316 2116
1275 25
1317 2209
1275 25
Total 11430 7750
mean 1270
s 31.12475

orchestra answered 2 years ago
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