suppose that the body lengths of adult male crested porcupines in approximately normally distributed with a mean of 73.1cm and a standard deviation of 5.8 cm (these values are based on a study by morl et al.(2014).) if an adult male crested porcupine is randomly selected from this region. what is the probability that its body length lies between 70 and 75 cm ?

suppose that the body lengths of adult male crested porcupines in approximately normally distributed with a mean of 73.1cm and a standard deviation of 5.8 cm (these values are based on a study by morl et al.(2014).) if an adult male crested porcupine is randomly selected from this region. what is the probability that its body length lies between 70 and 75 cm ?

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...

See similar textbooks

Similar questions

Suppose the mean wait-time for a telephone reservation agent at a large airline is 45 seconds. A manager with the airline is concerned that business may be lost due to customers having to wait too long for an agent. To address this concern, the manager develops new airline reservation policies that are intended to reduce the amount of time an agent needs to spend with each customer. A random sample of 250 customers results in a sample mean wait-time of 44.4 seconds with a standard deviation of 4.2 seconds. Using a = 0.05 level of significance, do you believe the new policies were effective in reducing wait time? Do you think the results have any practical significance? Determine the null and alternative hypotheses. Ho: H₁: ▼ = ▼ Calculate the test statistic. 45 seconds 45 seconds (Round to two decimal places as needed.) Calculate the P-value. P-value= (Round to three decimal places as needed.) State the conclusion for the test. OA. Reject Ho because the P-value is less than the a= 0.05…
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 14 blue crabs from Location A contain a mean of 194 milligrams of fish and a standard deviation of 37 milligrams. The stomach contents of a sample of 8 blue crabs from Location B contain a mean of 184 milligrams of fish and a standard deviation of 44 milligrams. At a = 0.05, can you support the researcher's claim? Assume the population variances are equal. Complete parts (a) through (d) below. (a) Identify the null and alternative hypotheses. Choose the correct answer below. ОА. Но H1-H2 0 OD. Ho: H₁-12₂=0 Ha H1 H₂0 enough evidence at the 5% level of significance to support the researcher's claim.
Suppose that the annual rainfall in Waco can be modeled with a Normal distribution with a mean of 35.9 inches and a variance of 8.41. a) In 1999, the amount of rainfall in Waco was 20.48 inches, What is the probability of observing an annual rainfall of than 20,48 inches in Waco? What is the probability of having at least one year out of n=10 with a total rainfall amount of more than 40 inches? What assumptions must be made to answer this question?
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…
A courier services company has found that the delivery time for packages is normally distributed, with a mean of 14 hours and a standard deviation of 2 hours. What is the probability that a randomly selected package will be delivered in between 12 and 15 hours?
Assuming cholestorol data indicated a mean total cholesterol level for adult persons 20 years of age and older in the United States was 190 mg/dl; with a known standard deviation of 30 mg/dl. Use a known standard deviation of 30 mg/dl and the underlying population is normally distributed. What is the probability that a randomly selected adult, ≥ 20 years of age will have a cholesterol level < 180 mg/dl?
IN 2018, THE BRAKING DISTANCE OF TOYOTA CAMRY CARS ON A WET SURFACE FOLLOWS A NORMAL DIRTRIBUTION. ITS MEAN IS 122 FEET WITH A STANDARD DEVIATION OF 20 FEET. WHAT IS THE PROBABILITY THAT A RANDOMLY SELECTED TOYOTA CAMRY WILL HAVE A BRAKING DISTANCE OF MORE THAN 130 FEET?
Suppose the mean wait-time for a telephone reservation agent at a large airline is 44 seconds. A manager with the airline is concerned that business may be lost due to customers having to wait too long for an agent. To address this concern, the manager develops new airline reservation policies that are intended to reduce the amount of time an agent needs to spend with each customer. A random sample of 250 customers results in a sample mean wait-time of 43.3 seconds with a standard deviation of 4.3 seconds. Using a = 0.05 level of significance, do you believe the new policies were effective in reducing wait time? Do you think the results have any practical significance? Determine the null and alternative hypotheses. Ho: ▼44 seconds 44 seconds H₁: Calculate the test statistic. ▼ (Round to two decimal places as needed.) Calculate the P-value. P-value= (Round to three decimal places as needed.) State the conclusion for the test. O A. Reject H, because the P-value is less than the α = 0.05…
A report on egg consumption shows that people living in China eat an average of 196 eggs each year with a standard deviation of 18.3 eggs. If a group of 81 Chinese people are selected at random, what is the probability that the average egg consumption of this group will be more than 200 eggs?
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 38 milligrams. The stomach contents of a sample of 8 blue crabs from Location B contain a mean of 189 milligrams of fish and a standard deviation of 44 milligrams. At a = 0.10, can you support the researcher's claim? Assume the population variances are equal. Complete parts (a) through (d) below. t= 0.110 (Round to three decimal places as needed.) (c) Calculate the P-value. P=|| (Round to four decimal places as needed.)
Suppose the mean wait-time for a telephone reservation agent at a large airline is 42 seconds. A manager with the airline is concerned that business may be lost due to customers having to wait too long for an agent. To address this concern, the manager develops new airline reservation policies that are intended to reduce the amount of time an agent needs to spend with each customer. A random sample of 250 customers results in a sample mean wait-time of 41.3 seconds with a standard deviation of 4.2 seconds. Using a = 0.05 level of significance, do you believe the new policies were effective in reducing wait time? Do you think the results have any practical significance? www Determine the null and alternative hypotheses. Ho: P = 42 seconds. H₁: H <42 seconds Calculate the test statistic. = (Round to two decimal places as needed.) Check answer Get more help. Clear all (3) a 1:44 AM 6/19/2022 O pr BSC 7 Help me solve this View an example H Type here to search " "? * 3 Z @ 12 S E C 4 R F %…
A research article reported that for a random sample of 850 meal purchases made at fast food chain A, the mean number of calories was 1,004, and the standard deviation was 489. For a random sample of 2,108 meal purchases made at fast food chain B, the mean number of calories was 905, and the standard deviation was 622. Based on these samples, is there convincing evidence that the mean number of calories in fast food chain B meal purchases is less than the mean number of calories in fast food chain A meal purchases? (Test the relevant hypotheses using a 0.05 level of significance. Use ?1 for fast food chain B and ?2 for fast food chain A.) State the appropriate null and alternative hypotheses. Find the test statistic and P-value. (Use SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t= P-value= State the conclusion in the problem context. We fail to reject H0. There is convincing evidence that the mean number of calories in fast food…