Question

According to Miller, a 12 oz Miller Lite has 96 calories. Suppose that the actual calorie...

According to Miller, a 12 oz Miller Lite has 96 calories. Suppose that the actual calorie content varies from bottle to bottle, with a mean of 96 calories and a standard deviation of 5 calories. Suppose also that we will select a random sample of 200 such bottles for analysis.

What is the standard deviation of the distribution of sample means?

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 96

standard deviation = = 5

n = 200

sampling distribution of standard deviation

=  / n = 5 / 200=0.3536

= 0.3536

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
The packaging process in a breakfast cereal company has been adjusted so that an average of...
The packaging process in a breakfast cereal company has been adjusted so that an average of μ = 13.0 oz of cereal is placed in each package. The standard deviation of the actual net weight is σ = 0.1 oz and the distribution of weights is known to follow the normal probability distribution. 1. what proportion of cereal packages contain more than 12.9 oz? 2. Suppose 25 cereal boxes are chosen at random, what is the mean weight of all...
The sodium content of a popular sports drink is listed as 202 mg in a 32-oz...
The sodium content of a popular sports drink is listed as 202 mg in a 32-oz bottle. Analysis of 17 bottles indicates a sample mean of 213.7 mg with a sample standard deviation of 16.4 mg.    (a) State the hypotheses for a two-tailed test of the claimed sodium content.    a. H0: ? ? 202 vs. H1: ? < 202 b. H0: ? ? 202 vs. H1: ? > 202 c. H0: ? = 202 vs. H1: ? ?...
Ok, let’s say there’s about 10 calories per ounce of human blood and let’s assume that...
Ok, let’s say there’s about 10 calories per ounce of human blood and let’s assume that vampires have the same daily caloric need as humans: 2,000 calories per day. This would mean that vampires would need about 200 ounces, or 12.50 pints, of human blood per day. This would require the vampire to fully exsanguinate about on 1.5 adult humans per day (night?)! Luckily for us mortals, it turns out that vampires need less than 2,000 calories per day (they...
Ok, let’s say there’s about 10 calories per ounce of human blood and let’s assume that...
Ok, let’s say there’s about 10 calories per ounce of human blood and let’s assume that vampires have the same daily caloric need as humans: 2,000 calories per day. This would mean that vampires would need about 200 ounces, or 12.50 pints, of human blood per day. This would require the vampire to fully exsanguinate about on 1.5 adult humans per day (night?)! Luckily for us mortals, it turns out that vampires need less than 2,000 calories per day (they...
Ok, let’s say there’s about 10 calories per ounce of human blood and let’s assume that...
Ok, let’s say there’s about 10 calories per ounce of human blood and let’s assume that vampires have the same daily caloric need as humans: 2,000 calories per day. This would mean that vampires would need about 200 ounces, or 12.50 pints, of human blood per day. This would require the vampire to fully exsanguinate about on 1.5 adult humans per day (night?)! Luckily for us mortals, it turns out that vampires need less than 2,000 calories per day (they...
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer . It...
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer . It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.14 ounces and a standard deviation of 0.06 ounce. a)Find the probability that the bottle contains fewer than 12.00 ounces of beer.Label the sketch of the normal curve with the values from the problem situation. Label the mean and the desired outcome. Use a...
Suppose that the distribution for total amounts spent by students vacationing for a week in Florida...
Suppose that the distribution for total amounts spent by students vacationing for a week in Florida is normally distributed with a mean of 650 and a standard deviation of 120. Suppose you take a simple random sample (SRS) of 10 students from this distribution. What is the probability that a SRS of 10 students will spend an average of between 600 and 700dollars? Round to five decimal places. A machine is designed to fill 16-ounce bottles of shampoo. When the...
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is...
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.14 ounces and a standard deviation of 0.06 ounce. a) Find the probability that the bottle contains fewer than 12.00 ounces of beer. Label the sketch of the normal curve with the values from the problem situation. Label the mean and the desired outcome. Use...
Suppose x has a distribution with μ = 12 and σ = 8. (a) If a...
Suppose x has a distribution with μ = 12 and σ = 8. (a) If a random sample of size n = 34 is drawn, find μx, σx and P(12 ≤ x ≤ 14). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(12 ≤ x ≤ 14) = (b) If a random sample of size n = 58 is drawn, find μx, σx and P(12 ≤ x ≤ 14). (Round σx...
3) Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It...
3) Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.14 ounces and a standard deviation of 0.06 ounce. a) Find the probability that the bottle contains fewer than 12.00 ounces of beer. Label the sketch of the normal curve with the values from the problem situation. Label the mean and the desired outcome....