Question

In: Statistics and Probability

If n=30, ¯xx¯(x-bar)=48, and s=3, find the margin of error at a 90% confidence level Give...

If n=30, ¯xx¯(x-bar)=48, and s=3, find the margin of error at a 90% confidence level

Give your answer to two decimal places.

Expert Solution

Solution:

Note that, Population standard deviation() is unknown..So we use t distribution.

Confidence level = 90%

c = 0.90

= 1- c = 1- 0.90 = 0.10

/2 = 0.10 2 = 0.05

Also, d.f = n - 1 = 30 - 1= 29

= = _0.05,29 = 1.699

( use t table or t calculator to find this value..)

The margin of error is given by

E = /2,d.f. * ( / n)

= 1.699 * (3 / 30)

= 0.93

margin of error = 0.93

orchestra answered 1 year ago

If n=23, ¯xx¯(x-bar)=48, and s=3, construct a confidence interval at a 98% confidence level. Assume the...

If n=23, ¯xx¯(x-bar)=48, and s=3, construct a confidence interval at a 98% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place. < μμ <

1) If n= 27, x bar=38, and s=10, find the margin of error at a 90%...

1) If n= 27, x bar=38, and s=10, find the margin of error at a 90% confidence level. Give your answer to two decimal places. 2) Express the confidence interval (14.4%, 24.2%) in the form of ˆp ± M E.

1. If n=28, x¯ (x-bar)=50, and s=6, find the margin of error at a 95% confidence...

1. If n=28, x¯ (x-bar)=50, and s=6, find the margin of error at a 95% confidence level (use at least two decimal places) 2. What is the margin of error for a poll with a sample size of 2400 people? Round your answer to the nearest hundredth of a percent. % 3. If you want a poll to have a margin of error of 3.24%, how large will your sample have to be? Round your answer to the nearest whole...

If n=110 and ˆpp^ (p-hat) =0.43, find the margin of error at a 90% confidence level...

If n=110 and ˆpp^ (p-hat) =0.43, find the margin of error at a 90% confidence level Give your answer to three decimals.

If n=11, ¯xx¯(x-bar)=43, and s=4, construct a confidence interval at a 95% confidence level. Assume the...

If n=11, ¯xx¯(x-bar)=43, and s=4, construct a confidence interval at a 95% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place.

If n=14, ¯xx¯(x-bar)=45, and s=4, construct a confidence interval at a 99% confidence level. Assume the...

If n=14, ¯xx¯(x-bar)=45, and s=4, construct a confidence interval at a 99% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place. Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 65 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 7.1 and a standard deviation of 3.9. What...

A) If n=15, ¯xx¯(x-bar)=37, and s=6, construct a confidence interval at a 80% confidence level. Assume...

A) If n=15, ¯xx¯(x-bar)=37, and s=6, construct a confidence interval at a 80% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place. B). Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 394 drivers and find that 303 claim to always buckle up. Construct a 84% confidence interval for the population proportion that claim to always buckle...

1. If n=10, ¯ x (x-bar)=43, and s=10, find the margin of error at a 95%...

1. If n=10, ¯ x (x-bar)=43, and s=10, find the margin of error at a 95% confidence level (use at least two decimal places) 2. If n=11, ¯x (x-bar)=35, and s=4, find the margin of error at a 99% confidence level (use at least three decimal places)

If n=30, ¯ x (x-bar)=43, and s=15, construct a confidence interval at a 95% confidence level....

If n=30, ¯ x (x-bar)=43, and s=15, construct a confidence interval at a 95% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place. < μ < Submit Question

1. If n=10, (x-bar)=35, and s=4, construct a confidence interval at a 90% confidence level. Assume...

1. If n=10, (x-bar)=35, and s=4, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place: __ < μ < __ 2. If n=24, (x-bar)=36, and s=6, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place: __ < μ <__ 3. If n=19, (x-bar)=32, and s=3, construct a confidence...