Question

In: Statistics and Probability

coin-operated drink machine was designed to discharge a mean of 7ounces of coffee per cup. In...

coin-operated drink machine was designed to discharge a mean of 7ounces of coffee per cup. In a test of the machine, the discharge amounts in14 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.02 ounces and 0.17 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.05 level of significance, to conclude that the true mean discharge, μ , differs from 7 ounces?

Perform a two-tailed test. Then fill in the table below.

The null hypothesis:

H0:
The alternative hypothesis:

H1:
The type of test statistic: (Choose one)Z.t.Chi Suare,F
The value of the test statistic:
(Round to at least three decimal places.)
The two critical values at the

0.05

level of significance:
(Round to at least three decimal places.)

and
At the 0.05 level of significance, can we conclude that the true mean discharge differs from

7

ounces?

Yes

No

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A coin-operated drink machine was designed to discharge a mean of 9 ounces of coffee per...
A coin-operated drink machine was designed to discharge a mean of 9 ounces of coffee per cup. In a test of the machine, the discharge amounts in 15 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.82 ounces and 0.28 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.05 level of significance, to conclude that the true mean discharge, μ...
Q))A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.2...
Q))A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.2 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffeeμ dispensed by the machine is less than 7.2 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. BIG gathers a random...
Before each class, I either drink a cup of coffee, a cup of tea, or a...
Before each class, I either drink a cup of coffee, a cup of tea, or a cup of water. The probability of coffee is 0.7, the probability of tea is 0.2, and the probability of water is 0.1. If I drink coffee, the probability that the lecture ends early is 0.3. If I drink tea, the probability that the lecture ends early is 0.2. If I drink water, the lecture never ends early. 1) What’s the probability that I drink...
The amount of coffee dispensed by a drink vending machine is normally distributed with a mean...
The amount of coffee dispensed by a drink vending machine is normally distributed with a mean of 12.1 oz. What is the probability that a randomly selected cup of coffee has more than 12.8 oz? Assume that the standard deviation for all drink vending machines is 0.38
A soft-drink machine is regulated so that it discharges an average of 6.8 ounces per cup....
A soft-drink machine is regulated so that it discharges an average of 6.8 ounces per cup. If the amount of drink is normally distributed with a standard deviation equal to 0.5 ounces, Part a: What is the probability that a cup will contain more than 7.72 ounces? Part b: What is the probability that a cup contains between 6.72 and 7.06 ounces? Part c: How many cups will overflow if 7.8-ounce cups are used for the next 1000 drinks? Part...
A soft-drink machine is regulated so that it discharges an average of 6.6 ounces per cup....
A soft-drink machine is regulated so that it discharges an average of 6.6 ounces per cup. The amount of drink is normally distributed with a standard deviation equal to 0.5 ounces. Part 1:  (3 points ) What is the probability that a cup will contain more than 7.54 ounces? Part 2:  (3 points ) What is the probability that a cup contains between 6.54 and 7.06 ounces? Part 3: (4 points ) Suppose we want to regulate this machine so that only...
The amount of coffee that people drink per day is normally distributed with a mean of...
The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 5 ounces. 32 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the probability that one randomly selected person drinks between 13.7 and 14.1 ounces of coffee per day? For the 32 people, find the probability that the average coffee consumption is between 13.7 and 14.1 ounces of coffee per...
The amount of coffee that people drink per day is normally distributed with a mean of...
The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 7 ounces. 34 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the distribution of X? X ~ N(___,___) What is the distribution of ¯x? ¯x ~ N(___,___) What is the probability that one randomly selected person drinks between 16.5 and 17.3 ounces of coffee per day? For the 34...
The amount of coffee that people drink per day is normally distributed with a mean of...
The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 7 ounces. 33 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) What is the probability that one randomly selected person drinks between 14.6 and 15.5...
A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to...
A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of eight cups of coffee from this machine show the average content to be 7.4 ounces with a standard deviation of 0.70 ounce. Do you think that the machine has slipped out of adjustment and that the average amount of coffee per cup is different from 7 ounces? Use a 5% level of significance. What is the value...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT