3. The Metropolitan Bus Company claims that the mean waiting time for a bus during rush hour is less than 5 minutes. A random sample of 20 waiting times has a mean of 4.2 minutes with a standard deviation of 2.1 minutes. a) The sample mean is 4.2. Before doing any work, what is gut feeling about the chances of the population mean beirg less than or equal to 5? Do you think that the sample mean of 4.2 is
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![3. The Metropolitan Bus Company claims that the mean waiting time for a bus during rush hour
is less than 5 minutes. A random sample of 20 waiting times has a mean of 4.2 minutes with a
standard deviation of 2.1 minutes.
a) The sample mean is 4.2. Before doing any work, what is gut feeling about the chances of
the population mean beirg less than or equal to 5? Do you think that the sample mean of 4.2 is
low enough and provides enough evidence?
b) Which will you use to perform the hypothesis test, a z-test or t-test? Explain why.
c) At a = 0.01, test the bus company's claim. Assume the distribution is normally distributed.
d) Complete the hypothesis test and compare your results with your guess in part a.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4ad811f-5ba5-484f-a884-8771a4ce5c43%2F55a3d3cb-6553-4376-ab77-d8bf92eaccb4%2F13inkq_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)