Question

(10 points) Note: Each bound should be rounded to three decimal places. A random sample of $n = 100$ observations produced a mean of $\bar{x} = 30$ with a standard deviation of $s = 8$. (a) Find a 90% confidence interval for $\mu$ Lower-bound: [ ] Upper-bound: [ ] (b) Find a 99% confidence interval for $\mu$ Lower-bound: [ ] Upper-bound: [ ] (c) Find a 95% confidence interval for $\mu$ Lower-bound: [ ] Upper-bound: [ ]

Name: 10 points note each bound should be rounded to three decimal places a random sample of n 100 observations produced a mean of barx 30 with a standard deviation of s 8 a find a 90 confidence i 81034
Uploaded: 2022-04-13T22:38:55-08:00
Duration: 3 min 18 s
Channel: Marc Lauzon
Description: 10 points note each bound should be rounded to three decimal places a random sample of n 100 observations produced a mean of barx 30 with a standard deviation of s 8 a find a 90 confidence i 81034

          (10 points)

Note: Each bound should be rounded to three decimal places.

A random sample of $n = 100$ observations produced a mean of $\bar{x} = 30$ with a standard deviation of $s = 8$.

(a) Find a 90% confidence interval for $\mu$
Lower-bound: [ ] Upper-bound: [ ]

(b) Find a 99% confidence interval for $\mu$
Lower-bound: [ ] Upper-bound: [ ]

(c) Find a 95% confidence interval for $\mu$
Lower-bound: [ ] Upper-bound: [ ]

10 points note each bound should be rounded to three decimal places a random sample of n 100 observations produced a mean of barx 30 with a standard deviation of s 8 a find a 90 confidence i 81034

Added by Michael I.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Marc Lauzon

04/13/2022

Step 1

Since the sample size $n=100$ is large ($n \ge 30$), we can use the Z-distribution to construct the confidence intervals, even though the population standard deviation is unknown and we are using the sample standard deviation $s$. The formula for a confidence Show more…

Show all steps

Thanks for your feedback!

(10 points) Note: Each bound should be rounded to three decimal places. A random sample of $n = 100$ observations produced a mean of $\bar{x} = 30$ with a standard deviation of $s = 8$. (a) Find a 90% confidence interval for $\mu$ Lower-bound: [ ] Upper-bound: [ ] (b) Find a 99% confidence interval for $\mu$ Lower-bound: [ ] Upper-bound: [ ] (c) Find a 95% confidence interval for $\mu$ Lower-bound: [ ] Upper-bound: [ ]