Answered: Students estimated the length of one…

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

100%

H0: μ, σ, or p | =, >, <, or ≠ ___________________

H1: p, σ, or μ | <, >, =, or ≠ ________________________

Identify the test statistic ____________ (Round to two decimal places as needed.)

Identifty the P-value _______________ (Round to three decimal places as needed.)

State the conclusion about the null hypothesis, as well as the final conclusion that address the original claim. Decide whether it appears that students are reasonably good at estimating one minute.

Reject or Fail to Reject the null hypothesis. There is or is not sufficient evidence at the 0.10 signifcant level to warrent rejection of or rejection the claim that the times are population with a mean equal to 60 seconds; on this basis it appears or does not appears that as a group of students are reasonably good at estimating one minute.

Perform the test assuming that the requirements are met. Identify the null and alternative hypotheses.

H₀: [Dropdown Options]
H₁: [Dropdown Options]
(Type integers or decimals. Do not round.)

Identify the test statistic.
[Input Box]
(Round to two decimal places as needed.)

Identify the P-value.
[Input Box]
(Round to three decimal places as needed.)

State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Decide whether it appears that students are reasonably good at estimating one minute.

[Dropdown Options] the null hypothesis. There [Dropdown Options] sufficient evidence at the 0.10 significance level to [Dropdown Options] the claim that the times are from a population with a mean equal to 60 seconds; on this basis, it [Dropdown Options] that as a group the students are reasonably good at estimating one minute.

### Estimation of Time by Students

Students estimated the length of one minute without reference to a watch or clock, and the times (in seconds) are listed below. Assume that a simple random sample has been selected. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute?

**Estimated Times (seconds):**
- 70
- 80
- 39
- 65
- 40
- 20
- 61
- 63
- 65
- 47
- 63
- 69
- 95
- 90
- 66

---

### Hypothesis Testing

Perform the test assuming that the requirements are met. Identify the null and alternative hypotheses.

- Null Hypothesis (\(H_0\)): The mean time estimated by students is equal to 60 seconds.
- Alternative Hypothesis (\(H_1\)): The mean time estimated by students is not equal to 60 seconds.

*(Type integers or decimals. Do not round.)*

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