An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.6 minutes. A random sample of 35 dive durations has a mean of 12.3 minutes and a standard deviation of 2.2 minutes. At α=0.01 is there enough evidence to reject the​ oceanographer's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed.       Question content area bottom Part 1 ​(a) Identify the claim and state H0 and Ha.   H0:  ▼   sigmaσ pp sigma squaredσ2 muμ ▼   equals= less than or equals≤ less than< greater than or equals≥ greater than> not equals≠ enter your response here Ha:  ▼   sigmaσ muμ pp sigma squaredσ2 ▼   greater than> greater than or equals≥ equals= less than< not equals≠ less than or equals≤ enter your response here ​(Type integers or decimals. Do not​ round.)   The claim is the ▼   null alternative hypothesis.

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 + ...