Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Get the answer to your homework problem.
Try Numerade free for 7 days
Elementary Statistics a Step by Step Approach
7 months, 1 week ago
Our questions is that we want to conduct a hypothesis test of the claim that the population mean germination time for strawberry seats is different from 18 points nine days. So we choose a random sample of strawberries, the sample had, the sample has a meal of 19 days and a standard division of 1.2 days. So for each of the following sample sampling scenarios choose an appropriate test statistics for our hypothesis tests and the population maintained calculates the test statistics, you're supposed to round your answers to the small place. So the first question says that the sample size Uh the sample has a size of 16 and it is certain population with a distribution which about which we know very later on. So the value of the the type of test statistics we use is dependent on the type of distribution that we have at end. If we have a normal distribution, we use a uh z distribution. But it was stated in our question that we don't know Uh the kind of distribution that defines the population of our dataset. So that simply implies that it is unclear of the test statistics for us to use. So the answer to our question is clear is that it is unclear which states statistics to use. So for question one it is unclear which test statistics to use. So that's the answer to the first question. So the second question is that the sample size, uh the sample has a size of 85 it is from a non normally distributed population with a non standard division of 1.4 so far, question to our end is of course to 85. The population standard deviation is equal to 1.4. We also have that the population mean Is of course to 18.9 Meal is of course to 18.9 and the sample mean expert, We have that to be equals two 19 actually okay, so this is 19. So according to the central limit stadium, when the sample size of the sampling distribution is greater than or equals to 30, that his end is greater than or equals to 30. We can definitely say that the dataset is approximately normally distributed. Hence that the test statistics are going to use for such data set is going to be a normal, a normal distribution or a Z. Test. Also we have the value of the population Standard division since we know the value of the population Standard star division to be caused 1.4, it simply implies that we can also assume that our datasets excuse me, is normally distributed. Hence our test started this in this case of us is going to be a sitter. So we have that Z is a close to X bar minus mu divided by sigma divided by the scrolls of end. The expert is going to be 19 minus, our army is going to be 18 points nine divided by sigma is 1.4 Divided by sprouts of 85. So 19 -18.9 I want to do the mask. We have a 0.1 divided by 14. Excuse Me? Fight it by the scrolls of 85 and that is 0.1519. And when we do the math, 0.1 divided by 0.1519 and that's going to be 0.65 85. So for a second question, our test statistic is going is going to be 0.6585 at the question. So if you keep the one sign to decimal place, so that's approximately 0.66.
Find Your Textbook
28.1 words per minute
A commercial farmer harvests his entire field of a vegetable crop at one time. Therefore, he would like to plant a variety of green beans that mat…
175 adults 90 confidence <…
Mean of score 51
f(x)= 13+4x-x^2 , [0, 5…
3. A researcher for a cere…
Complex Num ber
Enter your parent or guardian’s email address:
Already have an account? Log in
Create an account to get free access
Join Numerade as a
or sign up with