Question

In: Statistics and Probability

It is believed in a renowned courier service that packages delivered at the beginning of the...

It is believed in a renowned courier service that packages delivered at the beginning of the month are lighter than those delivered at the end of the month. As an experiment a random sample of 15 packages are weighed at the beginning of the month and it is found that mean weight was 6.25 kgs with a standard deviation of 1.18 kgs. A random sample of 12 packages have also been weighed at end of the month and it is found that mean weight was 4.86 kgs with a standard deviation of 1.14 kgs. At the 99% level of significance, test the claim that packages at the beginning of the month are lighter

Solutions

Expert Solution


Related Solutions

A local courier service reports that 70% of bulk parcels within the same city are delivered...
A local courier service reports that 70% of bulk parcels within the same city are delivered within two days. Six parcels are randomly sent to different locations. a. What is the probability that all six arrive within two days? (Round the final answer to 4 decimal places.) Probability    b. What is the probability that exactly five arrive within two days? (Round the final answer to 4 decimal places.) Probability    c. Find the mean number of parcels that will...
A local courier service reports that 76% of bulk parcels within the same city are delivered...
A local courier service reports that 76% of bulk parcels within the same city are delivered within two days. Six parcels are randomly sent to different locations. a. What is the probability that all six arrive within two days? (Round the final answer to 4 decimal places.) Probability             b. What is the probability that exactly five arrive within two days? (Round the final answer to 4 decimal places.) Probability             c. Find the mean number of parcels that will arrive within...
A sample of 73 oversized packages delivered by OOPS (Only Oversized Parcel Service) is randomly selected...
A sample of 73 oversized packages delivered by OOPS (Only Oversized Parcel Service) is randomly selected and weighed, producing an average weight of 61.3 lbs. Assuming that the population standard deviation is known to be 9.2 lbs, find a 95% confidence interval estimate for the average weight of all oversized packages delivered by OOPS.  
Speedy Deliveries delivered an envelope two days later than they had promised in their courier services...
Speedy Deliveries delivered an envelope two days later than they had promised in their courier services contract. Unbeknownst to Speedy, the envelope contained important title documents and their client now alleges the late delivery caused a real estate deal to fall through and is suing Speedy for the $200,000 profit it had expected to make from the deal. Which statement describes the most likely outcome? Select one: a. The damages will not be recoverable because they are pure economic losses....
A sample of six weights for packages delivered by a mailing company (in lbs.) is shown...
A sample of six weights for packages delivered by a mailing company (in lbs.) is shown below: 7.0, 7.3, 7.5, 7.7, 8.0, 12.4 a) Find the mean for the data above. b) Which one of the following interpretations of the mean calculated in a) is true (state True or False): 1) It represents the "average" weight. If each package would weigh the same, they each would have a weight equal to the mean _________ 2) It is the middle point...
A courier service company wishes to estimate the proportion of people in various states that will...
A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.05. If 219 are sampled, what is the probability that the sample proportion will differ from the population proportion by more than 0.03? Round your answer to four decimal places.
A courier service company has found that their delivery time of parcels to clients is approximately...
A courier service company has found that their delivery time of parcels to clients is approximately normally distributed with a mean delivery time of 50 minutes and a variance of 25 minutes (squared). a) What is the probability that a randomly selected parcel will take 60 minutes to deliver? [2] b) What is the probability that a randomly selected parcel will take between 38.75 and 55 minutes to deliver? [5] c) What is the probability that a randomly selected parcel...
Question 4 (1 point) Historically, 85.25% of packages delivered by UPS are on time. Suppose 136...
Question 4 (1 point) Historically, 85.25% of packages delivered by UPS are on time. Suppose 136 deliveries are randomly selected for quality control. What is the probability that between 79.65% and 85.29% of the deliveries were on time? Question 4 options: 1) 0.5380 2) 0.5275 3) 0.4725 4) 15.5256 5) 10.7123 Question 5 (1 point) Approximately 41.7% of all businesses are owned by women. If you take a sample of 167 businesses in Michigan, what is the probability that less...
1. 33 packages are randomly selected from packages received by a parcel service. The sample has...
1. 33 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 14.3 pounds. Assume the population standard deviation of all such packages is 3.9 pounds. What is the 97% confidence interval for the true mean weight, μ, of all packages received by this parcel service? 2. A Statistics student wants to estimate the average delivery time for Uber Eats with 99% confidence. If they assume the population standard deviation of delivery...
QUESTION 5 [4] A courier service company has found that their delivery time of parcels to...
QUESTION 5 [4] A courier service company has found that their delivery time of parcels to clients is approximately normally distributed with a mean delivery time of 30 minutes and a variance of 25 minutes (squared). a) What is the probability that a randomly selected parcel will take between 26 and 42 minutes to deliver? (2) b) What is the maximum delivery time (minutes) for the 2.5% of parcels with the shortest time to deliver? (2)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT