Question

# The time it takes to complete one biology experiment is normally distributed with known standard deviation...

The time it takes to complete one biology experiment is normally distributed with known standard deviation of 20 minutes. A random sample of 64 experiments in the science school in UCLA had a mean time of 75 minutes. Find the standard error, margin of error, and the upper and lower confidence limits of a 95% confidence interval for the population mean, m.

Solution :

Given that,

Sample size = n = 64

Z/2 = 1.96

Standard Error = /n

= 20 / 64

Standard Error = 2.5

Margin of error = E = Z/2* Standard Error

= 1.96 * 2.5

E = 4.9

At 95% confidence interval estimate of the population mean is,

- E < < + E

75 - 4.9 < < 75 + 4.9

70.1 < < 79.9

Lower confidence limits = 70.1

Upper confidence limits = 79.9

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• A two-component mixture containing 70% of Mineral A and 30% of Mineral B is floated in...
• A researcher wanted to investigate an effect of listening to hip-hop music on reading comprehension. She...
• In the determination of the alkalinity of a wastewater sample, we have the following data Final...
• A hungry 161 kg lion running northward at 82.7 km/hr attacks and holds onto a 39.2...
• Part A For the reaction 2Co3+(aq)+2Cl−(aq)→2Co2+(aq)+Cl2(g). E∘=0.483 V what is the cell potential at 25 ∘C...
• 1249) The solution of some second order linear DEQ is exp(-9x)[9sin(1x)+ 3cos(1x)] which can also be...