Question: 1) In a random sample of 50 students, the average income is found to be 6,500. The income is known to be normally distributed with

1) In a random sample of 50 students, the average income is found to be 6,500. The income is known to be normally distributed with population standard deviation 1000. Find the 95% confidence interval for the income of students. Round to the nearest hundredth.

2) In a random sample of 30 people, the mean height is 68.4 inches and the sample standard deviation is 4.2 inches. The population standard deviation is not known. Find the 95% confidence interval for the heights. Round to the nearest hundredth.

3) For a random sample of 50 students, it is found that 75% travel for spring break. Find the 95% confidence interval for the proportion of students who travel for spring break. Round to the nearest hundredth.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

In the criminal prosecution of the Defendant for murder, the Defendant testifies that she was in another country when the crime took place. The Defendant also calls W1 to the stand to testify that he...

Hello, can you answer these questions for me!!! Thankyou so much! = Multiple Choice: 2 points each= 1. For a random sample of 9 women, the average resting pulse rate is x=7 6 beats per minute, and...

help please in this homeowork 3 Blackboard X A Multiple Attempts Not allowed. This test can only be taken once. Force Completion This test can be saved and resumed at any point until time has...

Some latest study shows that college students are increasingly skimping on their sleep. A researcher from a small community college wants to estimate the mean weekdays sleep time of its students. He...

Need help please in this homework taken once. Force Completion This test can be saved and resumed at any point until time has expired. The timer will continue to run if you leave the test. Remaining...

(b) Interpret this interval in context. 95% of students will have a difference between reading and writing scores that falls within our confidence interval O We can be 95% confident that the average...

HW 8 Practice for the Final Exam: Problem 18 Previous Problem Problem List Next Problem (1 point) A random sample of 70 observations produced a mean of 27.9 from a population with a normal...

1. The standard deviation of the diameter at breast height, or DBH, of the slash pine tree is less than one inch. Identify the Type I error. (Points : 1) Fail to support the claim

The developer of an energy-efficient lawn mower engine claims that the engine will run continuously for 300 minutes on a single gallon of regular gasoline. Suppose a simple random sample of 50...

Telecomp, a computer manufacturer with a global supply chain, is adding a new supplier for some of its component parts, and the suppliers its considering are in China, India, Thailand and the...

A Carnot engine performs work at the rate of 440 kW while using 680 kcal of heat per second. If the temperature of the heat source is 570oC, at what temperature is the waste heat exhausted?

1. Identify the uses and limitations of an income statement.

Determining Optimal Production Quantities Top of the Hill Brewery produces two products - Ale and Stout. There are two raw materials - Hops and Malt that are used to brew these items. The maximal...