An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.3 minutes. A random sample of 36 dive durations has a mean of 12.5 minutes and a standard deviation of 2.2 minutes. At $alpha = 0.05$ 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 $H_0$ and $H_a$. $H_0$: $H_a$: (Type integers or decimals. Do not round.) The claim is the hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, $t$. $t = $ (Round to two decimal places as needed.) Obtain the P-value. $P = $ (Round to three decimal places as needed.)
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Qudsiya A.
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 12.5 minutes and a standard deviation of 2.3 minutes. At Α = 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) Use technology to find the t-value: t = (Round to two decimal places as needed) (b) Obtain the P-value: P = (Round to three decimal places as needed) (c) Decide whether to reject or fail to reject the null hypothesis: H0 because the P-value greater than Α. (d) Interpret the decision in the context of the original claim: There enough evidence at the % level of significance to the claim that the mean dive duration of a North Atlantic right whale is minutes. (Type integers or decimals. Do not round.)
Madhur L.
An oceanographer claims that the mean dive duration of the North Atlantic right whale is 11.3 minutes. A random sample of 36 dive durations has a mean of 12.5 minutes and a standard deviation of 2.2 minutes. At α = 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 Ho and Ha. Ho: The mean dive duration of the North Atlantic right whale is 11.3 minutes. Ha: The mean dive duration of the North Atlantic right whale is not equal to 11.3 minutes. (b) Use technology to find the P-value. Find the standardized test statistic. (Round to two decimal places as needed.) Obtain the P-value. P-value: (Round to three decimal places as needed.)
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