A data set includes data from student evaluations of courses. The summary statistics are n=98, x=4.09, s=0.55. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. **Identifying Null and Alternative Hypotheses****Hypotheses:**- Null Hypothesis (H₀): [Dropdown for equality or symbols]- Alternative Hypothesis (H₁): [Dropdown for inequality or symbols] - *(Type integers or decimals. Do not round.)***Test Statistic:**- Input Box: [Enter value] - *(Round to two decimal places as needed.)***P-value:**- Input Box: [Enter value] - *(Round to three decimal places as needed.)***Conclusion:**- Dropdown for selecting whether to "reject" or "fail to reject" the null hypothesis.- Dropdown for evidence level: [Sufficient/Insufficient]- Conclusion Sentence: The claim that the sample is from a population with a mean systolic blood pressure level greater than 120 mm Hg. Note: This section helps identify and evaluate statistical hypotheses, calculate test statistics, and make decisions based on the P-value and significance level.

Answered: m student evaluations of courses. The…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

A data set includes data from student evaluations of courses. The summary statistics are n=98, x=4.09, s=0.55. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

**Identifying Null and Alternative Hypotheses**

**Hypotheses:**
- Null Hypothesis (H₀): [Dropdown for equality or symbols]
- Alternative Hypothesis (H₁): [Dropdown for inequality or symbols]
- *(Type integers or decimals. Do not round.)*

**Test Statistic:**
- Input Box: [Enter value]
- *(Round to two decimal places as needed.)*

**P-value:**
- Input Box: [Enter value]
- *(Round to three decimal places as needed.)*

**Conclusion:**
- Dropdown for selecting whether to "reject" or "fail to reject" the null hypothesis.
- Dropdown for evidence level: [Sufficient/Insufficient]
- Conclusion Sentence: The claim that the sample is from a population with a mean systolic blood pressure level greater than 120 mm Hg.

Note: This section helps identify and evaluate statistical hypotheses, calculate test statistics, and make decisions based on the P-value and significance level.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Step 1

$g i v e n d a t a n = 98 x = 4.09 s = 0.55 α = 0.05 c l a i m : μ = 4.25 w e h a v e t o c o m p l e t e h y p o t h e i s i s t e s t i n g f o r t h e g i v e n d a t a$