A biology researcher is studying the risk of extinction of a rare tree species in a remote part of the Amazon. In the course of her study, the researcher modelsthe trees' ages using a normal distribution with a mean of 254 years and a standard deviation of 75 years.Use this table or the ALEKS calculator to find the percentage of trees with an age between 347 years and 395 years according to the model. For yourintermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).

The random variable tree’s age follows normal distribution. The population mean is 254 years and…

Answered: A biology researcher is studying the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14. Research shows exactly 95% of healthy females have hemoglobin levels below 15.9. What is the standard deviation of the distribution of hemoglobin levels in healthy females?carry computations to four decimal places and round your answer to two.
A sample of 250 employees of a company is selected, and the average age is found to be 35 years. This value is a statistic or parameter.
Water specimens are taken from water used for cooling as it is being discharged from a power plant into a river. It has been determined that as long as the mean temperature of the discharge is at most 150F, there will be no negative effects on the river's ecosystem. To investigage whether the plant is in compliance with regulations that prohibit a mean discharge water temperature above 150F, researchers will take 50 specimens at randomly selected times and record the temperature of each specimen. The resulting data will be used to test the hypotheses:H0:μ≤150FH0:μ≤150F Ha:μ>150FHa:μ>150F.(a) In the context of this problem, describe Type I and Type II errors.Type I Error:Select an answer A Type I error is not obtaining convincing evidence that the mean water temperature is greater than 150F when in fact it is greater than 150F. A Type I error is obtaining convincing evidence that the mean water temperature is greater than 150F when in fact it is at most 150F. Type II…
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You may need to use the appropriate appendix table or technology to answer this question. In a study entitled How Undergraduate Students Use Credit Cards, it was reported that undergraduate students have a mean credit card balance of $3,173. This figure was an all-time high and had increased 44% over the previous five years. Assume that a current study is being conducted to determine if it can be concluded that the mean credit card balance for undergraduate students has continued to increase compared to the original report. Based on previous studies, use a population standard deviation ? = $1,000. (a) State the null and alternative hypotheses. H0: ? < 3,173 Ha: ? ≥ 3,173 H0: ? = 3,173 Ha: ? ≠ 3,173 H0: ? > 3,173 Ha: ? ≤ 3,173 H0: ? ≥ 3,173 Ha: ? < 3,173 H0: ? ≤ 3,173 Ha: ? > 3,173 (b) What is the test statistic for a sample of 170 undergraduate students with a sample mean credit card balance of $3,305? (Round your answer to two decimal places.) What is…
Liu et al. (2015) recently reported the results of a study examining whether happy people live longer. The study followed a large sample of British women, aged 50 to 69, over a 10-year period. At the beginning of the study, the women were asked several questions including how often they felt happy. After 10 years, roughly 4% of the women had died. The following table shows a frequency distribution similar to the results obtained in the study. Lived Died Within 10 Years Total Happy Most of the Time 382 18 400 Unhappy Most of the Time 194 6 200 Total 576 24 n = 600 Do the data indicate a significant relationship between living longer and being happy most of the time? Test with α = .05. (Round your answers to two decimal places for χ²-critical and χ².) χ²-critical = χ² = Conclusion: Fail to reject the null hypothesis. There is a relationship between living longer and being happy most of the time. Reject the null hypothesis. There is no relationship between living longer and being…
prove that If we multiply the data values by a constant (say, c), value of geometric mean will be affected. how this will affect the geometric mean? Use the equation in image to prove it, and give an example.
A certain manufacturer makes 400w light bulbs. Assume that these light bulbs have lifetimes that are normally distributed with a mean lifetime of 480 hours and a standard deviation of 50 hours. Use this table or the ALEKS calculator to find the percentage of light bulbs with lifetimes shorter than 384 hours. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%). % X Español
A section of highway is posted with a 55 mph speed limit. In fact, speeds of cars traveling on this section are normally distributed with mean 58 mph and standard deviation 5 mph. If the state patrol decides to ticket cars in the fastest 10 %, at what speed will they start ticketing ? Round your answer to the first decimal position.
According to a 2006 survey conducted by the Center for Disease Control and Prevention (CDC), birth rates peak slightly between July and October each year. While a slight numerical increase in birth rates is often observed, this difference is assumed to be statistically non-significant. Thus, we would expect to see an equal number of people born during each month of the year in the United States. The "Birth Data.jasp" contains the birth months for 1380 babies (N = 1380) born during the year 2006 in the United States collected by the CDC. Conduct a Chi-Square Goodness of Fit Test at α = 0.05, to see if the number of babies born each month “fits” with the CDC’s assumptions about the population. Identify the correct null hypothesis. A. H0: The number of babies born throughout the year is equal across all 12 months B. H0: The number of babies born during the summer months is greater than the number of babies born during the rest of the year C. HA: The number of babies born in…
You collected data from a random sample of students on their impressions of the university. On a particular opinion item item, the mean for male students was 15.2 -- with a standard deviation of 3.4. The mean on that item for women was 14.4, with a standard deviation of 3.8. Calculate Cohen's d effect size. IN THE SPACE BELOW, write the effect size AND your interpretation of it.

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