Question No 2 A professional rock climber claims that he can climb a particular mountain within...

Question No 2

A professional rock climber claims that he can climb a particular mountain within 24 minutes. From a random sample of 24 attempts, the rock climber averaged 25.6 minutes with a standard deviation of 2.5 minutes. Is there sufficient evidence to suggest that the climber's claim is incorrect at a significance level of 3 percent? Apply the P-value approach.

Question No 3

Thomas is a shift manager at a local fast food place and is responsible for quality management. Thomas wants to ensure that all the frozen hamburger patties that get delivered by the supplier weigh four ounces on average. Assume that the standard deviation of the weight of hamburger patties is known to be 0.4 ounces. Thomas tells one of his employees that as a shipment arrives, select 25 patties whose average is 5 ounces. Test the claim by P-value approach by using α=0.04

Solutions

Expert Solution

Solution :

Samples size = n = 24

Sample mean = = 25.6

Standard deviation = s = 2.5

Hypothesis test

The null and alternative hypothesis is

H0 : μ = 25
H1 : μ < 25 ( This is left tailed test)

The test statistic :

Dicision : Reject the null hypothesis .

Conclusion : There is sufficient evidence to suggest that the climber's claim is incorrect at a significance level of 3 percent.

Dicision : Reject the null hypothesis.

Conclusion : There is sufficient evidence to believe that all the frozen hamburger patties that get delivered by the supplier weigh four ounces on average.

orchestra answered 2 years ago

Next > < Previous

Related Solutions

McDonalds claims that it can deliver the order within 40 minutes. From the data of 65...

McDonalds claims that it can deliver the order within 40 minutes. From the data of 65 randomly selected deliveries it was found that the average delivery time was 50 minutes with a standard deviation of 10 minutes. State the null and alternate hypotheses Calculate the test statistic Validate the claim at 0.01 level of significance

A student claims that he can correctly identify whether a person is a business major or...

A student claims that he can correctly identify whether a person is a business major or an agriculture major by the way the person dresses. Suppose in actuality that if someone is a business major, he can correctly identify that person as a business major 87% of the time. When a person is an agriculture major, the student will incorrectly identify that person as a business major 16% of the time. Presented with one person and asked to identify the...

The manufacturer of a particular battery pack for laptop computers claims its battery pack can function...

The manufacturer of a particular battery pack for laptop computers claims its battery pack can function for 8 hours on average. A random sample of 36 batteries was selected and placed to the test. The mean functioning time before recharge was 7.2 hours. We can assume that the population stand deviation is 1.9 hours. A competitor claims this is too high. Can you perform the appropriate test of hypothesis to determine whether the competitor is correct? Testing using alpha =...

Professional or trade organizations can provide ethical guidelines for business or professionals within their selected organization....

Professional or trade organizations can provide ethical guidelines for business or professionals within their selected organization. Research a professional or trade organization. Provide one example of an ethical guideline supplied by the professional or trade organization. Include a hyperlink to your selected professional or trade organization with your example.

2. Starting a new business is often the result of some particular event or condition within...

2. Starting a new business is often the result of some particular event or condition within an individual's environment. List four events that could trigger a new business. Give an example of a real business that was triggered by one of the events you mentioned. (300 words – 20 marks) 3. Define small businesses. Why does a small business act as a catalyst for social change? (200 words – 15 marks)

2. John has a special coin and he claims that it lands head 67% of the...

2. John has a special coin and he claims that it lands head 67% of the time it is tossed. a. What is the probability that in 22 tosses, the coin would land heads 13 or fewer times? b. If John actually tossed the coin 22 times and obtained 13 heads, would you have a good reason to doubt that John’s claim (head lands head 67% of the time) is true? Explain your answer.

2. Insurance Company An insurance company states that 90% of its claims are settled within 30...

2. Insurance Company An insurance company states that 90% of its claims are settled within 30 days. A consumer group selected a random sample of 75 of the company's claims to test this statement. If the consumer group found that 55 of the claims were settled within 30 days, do they have sufficient reason to support their contention that fewer than 90% of the claims are settled within 30 days? Use 0.05 level of significance. Hint: We are testing for...

This question involves explaining how professional etiquette can impact professional relationships. Consistently displaying proper etiquette is...

This question involves explaining how professional etiquette can impact professional relationships. Consistently displaying proper etiquette is a reflection of one’s organization and can build or destroy business relationships. For this question, explain the importance of social behavior and share an example of a situation you have witnessed where someone’s behavior affected one or more professional workplace relationships—feel free to include positive or negative examples. Your response must be at least 250 words in length.

Even within a particular chain of hotels, lodging during the summer months can vary substantially depending...

Even within a particular chain of hotels, lodging during the summer months can vary substantially depending on the type of room and the amenities offered. Suppose that we randomly select 50 billing statements from each of the computer databases of the Hotel A, the Hotel B, and the Hotel C chains, and record the nightly room rates. The means and standard deviations for 50 billing statements from each of the computer databases of each of the three hotel chains are...

Even within a particular chain of hotels, lodging during the summer months can vary substantially depending...

Subjects