Assume that the weights of quarters are normally distributed with a mean of 5.67 g and...

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending machine will only accept coins weighing between 5.48 g and 5.82 g. What percentage of legal quarters will be rejected?

Group of answer choices

1.96%

2.48%

0.0196%

1.62%

Solutions

Expert Solution

Let X denotes the weights of quarters.

X ~ N(mean= = 5.67, standard deviation = = 0.07)

Let find the probability that weight is between 5.48 to 5.82 grams.

(We get this phi values from z table)

Probability that coin is rejected = 1 - 0.9804 = 0.0196 = 1.96%

Percentage of legal quarters will be rejected = 1.96% (Answer)

z table :

orchestra answered 1 year ago

Next > < Previous

Related Solutions

2. After 1964, quarters were manufactured so that their weights have a mean of 5.67 g...

2. After 1964, quarters were manufactured so that their weights have a mean of 5.67 g and a standard deviation of 0.06 g. Some vending machines are designed so that you can adjust the weights of quarters that are accepted. If many counterfeit coins are found, you can narrow the range of acceptable weights with the effect that most counterfeit coins are rejected along with some legitimate quarters. a. If you adjust your vending machines to accept weights between 5.60...

suppose certain coins have weights that are normally distributed with a mean of 5.441 g and...

suppose certain coins have weights that are normally distributed with a mean of 5.441 g and a standard deviation of 0.071 g a vending machine is configured to accept those coins with weights between 5.301 g and 5.581 g if 270 different coins are inserted into the vending machine what is the expected number of rejected coins?

Suppose certain coins have weights that are normally distributed with a mean of 5.629 g and...

Suppose certain coins have weights that are normally distributed with a mean of 5.629 g and a standard deviation of 0.056 g. A vending machine is configured to accept those coins with weights between 5.559 g and 5.699 g. b. If 280 different coins are inserted into the vending machine, what is the probability that the mean falls between the limits of 5.559 g and 5.699 g? The probability is approximately ? (Round to four decimal places as needed.)

Potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean...

Potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.2 ounces. He bags his potatoes in groups of 6. You buy a bag and the total weight is 42 ounces. Here we determine how lucky or unlucky you are. (a) What is the mean potato weight in your bag of 6? Enter your answer to 1 decimal place. (b) If 6 potatoes are randomly selected,...

Assume that women's weights are normally distributed with a mean given by μ=143 lb and a...

Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by σ=29 lb. (a) If 1 woman is randomly selected, find the probability that her weight is above 177 (b) If 6 women are randomly selected, find the probability that they have a mean weight above 177 (c) If 78 women are randomly selected, find the probability that they have a mean weight above 177

3. Assume that the body weights of American men are normally distributed and have a mean...

3. Assume that the body weights of American men are normally distributed and have a mean of 182 pounds and a standard deviation of 20 pounds. a) If you select just one man at random, what is the probability that he weighs between 151 and 171 pounds? (Use Table 8.1) b) According to the Rule of Sample Means, if multiple random samples of 25 men are collected and the sample mean weight is calculated for each sample, what should the...

Assume the weights of 10 year old children are normally distributed with a mean of 90...

Assume the weights of 10 year old children are normally distributed with a mean of 90 pounds and a variance of 36. a. What is the standard deviation of the sampling mean for a sample of size 100? b. What is the 95% confidence interval for this distribution? c. What is the 99% confidence interval for this distribution? A random sample of 225 statistics tutoring sessions was selected and the number of students absent at each session was recorded. The...

Suppose certain coins have weights that are normally distributed with a mean of 5.641 g5.641 g...

Suppose certain coins have weights that are normally distributed with a mean of 5.641 g5.641 g and a standard deviation of 0.069 g0.069 g. A vending machine is configured to accept those coins with weights between 5.5215.521 g and 5.7615.761 g. a. If 300300 different coins are inserted into the vending machine, what is the expected number of rejected coins?The expected number of rejected coins is 2525. (Round to the nearest integer.)b. If 300300 different coins are inserted into the...

Assume that the distribution of squirrel weights are normally distributed with mean=1.7 lbs and standard dev.=...

Assume that the distribution of squirrel weights are normally distributed with mean=1.7 lbs and standard dev.= 0.5 lbs. Suppose we want to find the proportion of squirrels that weigh between 0.8 and 1.2 lbs. Suppose we want to find the proportion of squirrels that weigh between 0.8 and 1.2 lbs. Standardize the weights of 0.8 lbs and 1.2 lbs. Write the z-scores corresponding to the two weights below.

The weights of the fish in a certain lake are normally distributed with a mean of...

The weights of the fish in a certain lake are normally distributed with a mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected, what is the probability that the mean weight will be between 17.6 and 23.6 lb? Write your answer as a decimal rounded to 4 places.

Subjects