of 21Page4. Bluethroat Song DurationMale bluethroats have a complex song which is thought to be used toattract female birds. Let x denote the duration of a randomly selected song(in seconds) from a male bluethroat. The authors of research on bluethroatsong report the mean song duration is 13.8 seconds and the standarddeviation of song durations is 11.8 seconds. The authors also noted thatthe song length distribution is not normal.a. Let X = average song duration (in seconds) for a sample of 36 male bluethroat songs. Is thisdistribution of the sample mean song duration "normally distributed"? Explain how you know.X = average song duration (in seconds) for the sample of 36 male bluethroat songs.X- is distributed according to adistribution with u =b. Find the probability that a sample of 36 male bluethroat songs will have a mean duration greaterthan12 seconds. Draw, label, and shade a graph to illustrate your result.Find P() D

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Description: of 21Page4. Bluethroat Song DurationMale bluethroats have a complex song which is thought to be used toattract female birds. Let x denote the duration of a randomly selected song(in seconds) from a male bluethroat. The authors of research on bluethr

The distribution of means is defined as the distribution of all possible sample means for a sample…

Math

Statistics

4. Bluethroat Song Duration Male bluethroats have a complex song which is thought to be used to attract female birds. Let x denote the duration of a randomly selected song (in seconds) from a male bluethroat. The authors of research on bluethroat song report the mean song duration is 13.8 seconds and the standard deviation of song durations is 11.8 seconds. The authors also noted that the song length distribution is not normal. a. Let = average song duration (in seconds) for a sample of 36 male bluethroat songs. Is this distribution of the sample mean song duration "normally distributed"? Explain how you know. = average song duration (in seconds) for the sample of 36 male bluethroat songs. X- is distributed according to a distribution with u =

4. Bluethroat Song Duration Male bluethroats have a complex song which is thought to be used to attract female birds. Let x denote the duration of a randomly selected song (in seconds) from a male bluethroat. The authors of research on bluethroat song report the mean song duration is 13.8 seconds and the standard deviation of song durations is 11.8 seconds. The authors also noted that the song length distribution is not normal. a. Let = average song duration (in seconds) for a sample of 36 male bluethroat songs. Is this distribution of the sample mean song duration "normally distributed"? Explain how you know. = average song duration (in seconds) for the sample of 36 male bluethroat songs. X- is distributed according to a distribution with u =

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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A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 13 blue crabs from Location A contain a mean of 191 milligrams of fish and a standard deviation of 37 milligrams. The stomach contents of a sample of 7 blue crabs from Location B contain a mean of 185 milligrams of fish and a standard deviation of 41 milligrams. At α=0.10, can you support the researcher's claim? Assume the population variances are equal and that both samples are from normal populations. Complete parts (a) through (d) below. (a) Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ1−μ2=0 Ha: μ1−μ2>0 B. H0: μ1−μ2<0 Ha: μ1−μ2=0 C. H0: μ1−μ2=0 Ha: μ1−μ2≠0 D. H0: μ1−μ2=0 Ha: μ1−μ2<0 (b) Calculate the test statistic t=? (Round to three decimal places as needed.) (c) Calculate the…
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The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1825 pounds and a standard deviation of 70 pounds. The company believes that, due to an improvement in the manufacturing process, the mean breaking strength, μ, of the cables is now greater than 1825 pounds. To see if this is the case, 17 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1844 pounds. Assume that the population is normally distributed. Can we support, at the 0.05 level of significance, the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1825 pounds? Assume that the population standard deviation has not changed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0…