Consider the given function as
Note that the domain of the polynomial function
To identify the critical points, we have to solve the equation
Hence, the function
To get the y coordinate of the critical points, evaluate the function value at
Thus, the critical points of the function
To identify whether the each of the above critical point is a local maximum, a local minimum, or neither, we use the first derivative test.
Split the domain
Check the sign of the first derivative
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 13 subjects had a mean wake time of 101.0 min. After treatment, the 13 subjects had a mean wake time of 94.6 min and a standard deviation of 24.9 min. Assume that the 13 sample values appear to be from a normally distributed population and construct a
What does the result suggest about the mean wake time of 101.0 min before the treatment? Does the drug appear to be effective?
The confidence interval ▼ does not include| includes the mean wake time of 101.0 min before the treatment, so the means before and after the treatment ▼ could be the same |are different. This result suggests that the drug treatment ▼ does not have | has a significant effect.
In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 358 trials, the touch therapists were correct 172 times. Complete parts (a) through (d).
a) Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? (Type an integer or a decimal. Do not round.)
b) Using Emily's sample results, what is the best point estimate of the therapists' success rate? (Round to three decimal places as needed.)
c) Using Emily's sample results, construct a
Round to three decimal places as needed - ?
Based on a simple random sample of 1300 college students, it is found that 299 students own a car. We wish to construct a
A) Read carefully the text and provide each of the following:
The sample size
from the sample, the number of college students who own a car is
the confidence level is
B) Find the sample proportion
Construct two 99% confidence intervals for
Give a full answer to given question
1) An independent-measures study uses ?
2) An independent-measures study uses two samples, each with