An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.6 minutes. A random sample of 36 dive durations has a mean of 12.3 minutes and a standard deviation of 2.3 minutes. At α=0.10 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 H0 and Ha. H0: ▼ sigmaσ pp sigma squaredσ2 muμ ▼ greater than> greater than or equals≥ less than< equals= not equals≠ less than or equals≤ enter your response here Ha: ▼ sigmaσ pp sigma squaredσ2 muμ ▼ greater than> greater than or equals≥ not equals≠ less than or equals≤ less than< equals= enter your response here (Type integers or decimals. Do not round.) The claim is the ▼ null alternative hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. t=enter your response here (Round to two decimal places as needed.) Obtain the P-value. P=enter your response here (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. ▼ Reject Fail to reject H0 because the P-value ▼ is is not greater than α. (d) Interpret the decision in the context of the original claim. There ▼ is is not enough evidence at the enter your response here% level of significance to ▼ rejectreject supportsupport the claim that the mean dive duration of a North Atlantic right whale is ▼ not equal to less than equal to less than or equal to greater than greater than or equal to enter your response here minutes.

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

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

11.6

minutes. A random sample of

dive durations has a mean of

12.3

minutes and a standard deviation of

2.3

minutes. At

α=0.10

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

and

Ha.

H0:	▼ sigmaσ pp sigma squaredσ2 muμ ▼ greater than> greater than or equals≥ less than< equals= not equals≠ less than or equals≤ enter your response here
Ha:	▼ sigmaσ pp sigma squaredσ2 muμ ▼ greater than> greater than or equals≥ not equals≠ less than or equals≤ less than< equals= enter your response here

(Type integers or decimals. Do not round.)

The claim is the

▼

null

alternative

hypothesis.

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

t=enter your response here

(Round to two decimal places as needed.)

Obtain the P-value.

P=enter your response here

(Round to three decimal places as needed.)

▼

Reject

Fail to reject

because the P-value

▼

is not

greater than

α.

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

There

▼

is not

enough evidence at the

enter your response here%

level of significance to

▼

rejectreject

supportsupport

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

▼

not equal to

less than

equal to

less than or equal to

greater than

greater than or equal to

enter your response here

minutes.

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.

Expert Solution