a. What is the null hypothesis, and how is it denoted? H0 or H1: σ, p̂, p, σ^2, s^2, s, x̄, μ | >, <, ≠, ≥ , =, or ≤ ______________ minute (s) d. Is it possible to conclude that "there is sufficient evidence to support the claim that the mean wait time is equal to 35 minutes? a.) Yes. b.) No, hypothesis tests can never find sufficient evidence to support a claim; they can only find sufficient evidence to warrant rejection of a claim. **Question:**What are the possible conclusions that can be made about the null hypothesis? Select all that apply.**Options:**- A. Fail to reject the null hypothesis.- B. Accept the alternative hypothesis.- C. Reject the null hypothesis.- D. Accept the null hypothesis.- E. Reject the alternative hypothesis.- F. Fail to reject the alternative hypothesis.**Explanation:**This question is assessing the understanding of hypothesis testing, specifically regarding the conclusions that can be drawn about the null hypothesis. It is important to note that in hypothesis testing, we typically do not say we "accept" the null hypothesis; instead, we either "reject" or "fail to reject" it. A formal hypothesis test is to be conducted to test the claim that the wait times at the Space Mountain ride in Walt Disney World have a mean equal to 35 minutes. Complete parts (a) through (d).a. What is the null hypothesis, and how is it denoted?[Dropdown 1] : [Dropdown 2] [Dropdown 3] minute(s)(Type an integer or a decimal. Do not round.)

Part (a) : Null hypothesis : Null hypothesis assumes that the population mean (µ) is equal to the hypothesized value. Null hypothesis is denoted by H0. According to the question, µ = 35 minutes The null hypothesis is given by, H0 : µ = 35 minutes H0 : Part (c) : In hypothesis testing, null hypothesis are never 'accepted', we either reject the null hypothesis or fail to reject the null hypothesis. Because, the null hypothesis is assumed to be true and we do hypothesis testing to find the evidence against the null hypothesis. The possible conclusion that can be made about the null hypothesis are, A) Fail to reject the null hypothesis. C) Reject the null hypothesis. Part (d) : When we fail to reject the null hypothesis then we say that, Fail to reject the null hypothesis : There is not sufficient evidence to warrant rejection of a claim. And for the alternative hypothesis we use, there is not sufficient evidence to support the claim. Similarly, when we reject the null hypothesis we say that, Reject the null hypothesis :There is sufficient evidence to warrant rejection of a claim. For the alternative hypothesis we use there is sufficient evidence to support the claim. Hence, the correct option is b i.e., No, hypothesis tests can never find sufficient evidence to support a claim; they can only find sufficient evidence to warrant rejection of a claim.

Answered: a. What is the null hypothesis, and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

a. What is the null hypothesis, and how is it denoted?

H0 or H1: σ, p̂, p, σ^2, s^2, s, x̄, μ | >, <, ≠, ≥ , =, or ≤ ______________ minute (s)

d. Is it possible to conclude that "there is sufficient evidence to support the claim that the mean wait time is equal to 35 minutes?

a.) Yes.

b.) No, hypothesis tests can never find sufficient evidence to support a claim; they can only find sufficient evidence to warrant rejection of a claim.

**Question:**

What are the possible conclusions that can be made about the null hypothesis? Select all that apply.

**Options:**

- A. Fail to reject the null hypothesis.
- B. Accept the alternative hypothesis.
- C. Reject the null hypothesis.
- D. Accept the null hypothesis.
- E. Reject the alternative hypothesis.
- F. Fail to reject the alternative hypothesis.

**Explanation:**

This question is assessing the understanding of hypothesis testing, specifically regarding the conclusions that can be drawn about the null hypothesis. It is important to note that in hypothesis testing, we typically do not say we "accept" the null hypothesis; instead, we either "reject" or "fail to reject" it.

A formal hypothesis test is to be conducted to test the claim that the wait times at the Space Mountain ride in Walt Disney World have a mean equal to 35 minutes. Complete parts (a) through (d).

a. What is the null hypothesis, and how is it denoted?

[Dropdown 1] : [Dropdown 2] [Dropdown 3] minute(s)

(Type an integer or a decimal. 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 + ...

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