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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 2.3 minutes. At x = 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: ▼ H₂: ▼ ▼ (Type integers or decimals. Do not round.) 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. The claim is the P= (Round three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Ho because the P-value ▼greater than α. (d) Interpret the decision in the context of the original claim. There enough evidence at the (Type integers or decimals. Do not round.) level of significance to the claim that the mean dive duration of a North Atlantic right whale is ▼minutes.

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 2.3 minutes. At x = 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: ▼ H₂: ▼ ▼ (Type integers or decimals. Do not round.) 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. The claim is the P= (Round three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Ho because the P-value ▼greater than α. (d) Interpret the decision in the context of the original claim. There enough evidence at the (Type integers or decimals. Do not round.) level of significance to the claim that the mean dive duration of a North Atlantic right whale is ▼minutes.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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 2.3 minutes. At x = 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: Ha: (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.) (c) Decide whether to reject or fail to reject the null hypothesis. Ho because the P-value (d) Interpret the decision in the context of the original claim. There enough evidence at the % level of significance to (Type integers or decimals. Do not round.) greater than α. the claim that the mean dive duration of a North Atlantic right whale is minutes.
Transcribed Image Text: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 2.3 minutes. At x = 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: Ha: (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.) (c) Decide whether to reject or fail to reject the null hypothesis. Ho because the P-value (d) Interpret the decision in the context of the original claim. There enough evidence at the % level of significance to (Type integers or decimals. Do not round.) greater than α. the claim that the mean dive duration of a North Atlantic right whale is minutes.
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