An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.5 minutes. A random sample of 36 dive durations has a mean of 12.4 minutes and a standard deviation of 2.2 minutes. At alphaαequals=0.05 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. Upper H 0 : nbspH0: ▼ muμ sigmaσ sigma squaredσ2 pp ▼ not equals≠ less than< equals= greater than> greater than or equals≥ less than or equals≤ nothing Upper H Subscript a Baseline : nbspHa: ▼ sigmaσ sigma squaredσ2 muμ pp ▼ greater than> not equals≠ equals= greater than or equals≥ less than or equals≤ less than< nothing (Type integers or decimals. Do not round.) The claim is the ▼ (Blank) null alternative hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. tequals=(Blank) (Round to two decimal places as needed.) Obtain the P-value. Pequals=(Blank) (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. ▼ (Blank) Fail to reject Reject Upper H 0H0 because the P-value ▼ (Blank) is is not greater than alphaα. (d) Interpret the decision in the context of the original claim. There ▼ (Blank) is not is enough evidence at the nothing% level of significance to ▼ (Blank) reject support the claim that the mean dive duration of a North Atlantic right whale is ▼ (Blank) equal to less than greater than or equal to greater than less than or equal to not equal to nothing minutes. (Type integers or decimals. Do not round.) Enter your answer in each of the answer boxes.

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

An oceanographer claims that the mean dive duration of a North Atlantic right whale is

11.5

minutes. A random sample of

dive durations has a mean of

12.4

minutes and a standard deviation of

2.2

minutes. At

alphaαequals=0.05

is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.

(a) Identify the claim and state

Upper H 0H0

and

Upper H Subscript aHa.

Upper H 0 : nbspH0:	▼ muμ sigmaσ sigma squaredσ2 pp ▼ not equals≠ less than< equals= greater than> greater than or equals≥ less than or equals≤ nothing
Upper H Subscript a Baseline : nbspHa:	▼ sigmaσ sigma squaredσ2 muμ pp ▼ greater than> not equals≠ equals= greater than or equals≥ less than or equals≤ less than< nothing

(Type integers or decimals. Do not round.)

The claim is the

▼

(Blank)

null

alternative

hypothesis.

(b) Use technology to find the P-value. Find the standardized test statistic, t.

tequals=(Blank)

(Round to two decimal places as needed.)

Obtain the P-value.

Pequals=(Blank)

(Round to three decimal places as needed.)

▼

(Blank)

Fail to reject

Reject

Upper H 0H0

because the P-value

▼

(Blank)

is not

greater than

alphaα.

(d) Interpret the decision in the context of the original claim.

There

▼

(Blank)

is not

enough evidence at the

nothing%

level of significance to

▼

(Blank)

reject

support

the claim that the mean dive duration of a North Atlantic right whale is

▼

(Blank)

equal to

less than

greater than or equal to

greater than

less than or equal to

not equal to

nothing

minutes.

(Type integers or decimals. Do not round.)

Enter your answer in each of the answer boxes.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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