Question

If the inspection division of a county weights and measures department wants to estimate the mean...

If the inspection division of a county weights and measures department wants to estimate the mean amount of​ soft-drink fill in​ 2-liter bottles to within

± 0.01 liter with 95​% confidence and also assumes that the standard deviation is 0.07 ​liters, what sample size is​ needed?

n = _______

​(Round up to the nearest​ integer.)  

Homework Answers

Answer #1

Solution :

Given that,

Population standard deviation = = 0.07

Margin of error = E = 0.01

At 95% confidence level the z is,

= 1 - 95%

= 1 - 0.95 = 0.05

/2 = 0.025

Z/2 = 1.96

sample size = n = [Z/2* / E] 2

n = [1.96 *0.07 / 0.01]2

n = 188.23

Sample size = n = 189

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If the inspection division of a county weights and measures department wants to estimate the mean...
If the inspection division of a county weights and measures department wants to estimate the mean amount of? soft-drink fill in? 2-liter bottles to within plus or minus0.02 liter with 95?% confidence and also assumes that the standard deviation is 0.09 ?liters, what sample size is? needed?
The inspection division of the Lee County Weights and Measures Department is interested in estimating the...
The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft drink that is placed in 2-liter bottles at the local bottling plant of a large nationally known soft-drink company. The bottling plant has informed the inspection division that the standard deviation for 2-liter bottles is 0.05 liter, i.e. the population standard deviation is σ = 0.05. A random sample of one hundred 2-liter bottles obtained from this bottling plant indicates...
If the manager of a bottled water distributor wants to​ estimate, with 99​% ​confidence, the mean...
If the manager of a bottled water distributor wants to​ estimate, with 99​% ​confidence, the mean amount of water in a​ 1-gallon bottle to within ± 0.005 gallons and also assumes that the standard deviation is 0.04 ​gallons, what sample size is​ needed? n =______ ​(Round up to the nearest​ integer.) 
If the manager of a bottled water distributor wants to​ estimate, with 95​% ​confidence, the mean...
If the manager of a bottled water distributor wants to​ estimate, with 95​% ​confidence, the mean amount of water in a​ 1-gallon bottle to within ±0.002 gallons and also assumes that the standard deviation is 0.05 ​gallons, what sample size is​ needed?
Please, complete the following exercises: 1. A Quality Control inspector wants to estimate the true population...
Please, complete the following exercises: 1. A Quality Control inspector wants to estimate the true population mean for the diameter of an extruded plastic rod. She samples 65 rods. The mean diameter is 2.18 inches. From previous work, the population standard deviation is known to be 0.2 inches. Find a 95% confidence interval for the true mean diameter of all plastic rods. 2.You work in Human Resources at Merrill Lynch. You plan to survey employees to find their average medical...
A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. How...
A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 44 points with 99 %99% confidence assuming s equals 18.9s=18.9 based on earlier​ studies? Suppose the doctor would be content with 95 %95% confidence. How does the decrease in confidence affect the sample size​ required? ​A 99% confidence level requires 149149 subjects. ​(Round up to the nearest​ subject.) A 95 %95% confidence level...
A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. How...
A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence assuming s=17.8 based on earlier​ studies? Suppose the doctor would be content with 95% confidence. How does the decrease in confidence affect the sample size​ required? LOADING... Click the icon to view a partial table of critical values. A​ 99% confidence level requires nothing subjects. ​(Round up to...
A doctor wants to estimate the mean HDL cholesterol of all 20 to 29 year old...
A doctor wants to estimate the mean HDL cholesterol of all 20 to 29 year old females. How many subjects are needed to estimate the mean HDL cholesterol within 3 points with 99% confidence assuming S=19.2 based on earlier studies? suppose the doctor would be content with 90% confidence. How does the decrease in confidence affect the sample size required? 1. A 99% confidence level requires __ subjects (round up to the nearest subject) 2. A 95% confidence level requires...
A television sports commentator wants to estimate the proportion of citizens who​ "follow professional​ football." Complete...
A television sports commentator wants to estimate the proportion of citizens who​ "follow professional​ football." Complete parts​ (a) through​ (c). ​(a) What sample size should be obtained if he wants to be within 2 percentage points with 95 ​% confidence if he uses an estimate of 52 ​% obtained from a​ poll? ​(Round up to the nearest​ integer.) ​(b) What sample size should be obtained if he wants to be within 2 percentage points with 95 ​% confidence if he...
A doctor wants to estimate the HDL cholesterol of all​ 20- to​ 29-year-old females. How many...
A doctor wants to estimate the HDL cholesterol of all​ 20- to​ 29-year-old females. How many subjects are needed to estimate the HDL cholesterol within 4 points with 99 % confidence assuming sigma equals 11.4 question mark Suppose the doctor would be content with 95 % confidence. How does the decrease in confidence affect the sample size​ required? A​ 99% confidence level requires nothing subjects. ​(Round up to the nearest whole number as​ needed.) A 95 % confidence level requires...