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

A mobile company is innovating a new mobile phone and is interested how long it will take for a battery to charge fully. The standard deviation is known to be 15 minutes. The company wishes to test if the mean charging time is at most 30 minutes compared to the claim that it is more than 30 minutes. A random sample: of 35 mobile phones was selected and a mean charging time is more than 35 minutes. Can it be concluded that the mean charging time is not at most 30 minutes if the critical region is greater than 35 minutes?
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 comparison is made between two bus lines to determine if arrival times of their regular buses from Denver to Durango are off schedule by the same amount of time. For 51 randomly selected runs, bus line A was observed to be off schedule an average time of 53 minutes, with standard deviation 15 minutes. For 60 randomly selected runs, bus line B was observed to be off schedule an average of 60 minutes, with standard deviation 11 minutes. Do the data indicate a significant difference in average off-schedule times? Use a 5% level of significance. What are we testing in this problem? difference of proportionsdifference of means single meanpaired differencesingle proportion (a) What is the level of significance?State the null and alternate hypotheses. H0: ?1 = ?2; H1: ?1 < ?2H0: ?1 = ?2; H1: ?1 ≠ ?2 H0: ?1 > ?2; H1: ?1 = ?2H0: ?1 = ?2; H1: ?1 > ?2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume that both population…
A pizza delivery chain advertises that it will deliver your pizza in 20 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 20minutes. For the simple random sample of 6customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 21.9 minutes with a standard deviation of 2.1minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.025level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision. Answer
Given the proper treatment, small puncture wounds have a healing time that is normally distributed with a mean of 115.5 hours and a standard deviation of 12.1 hours. If a randomly selected soldier is given this treatment by a medic as soon as he experiences a small puncture wound, what is the probability that it will take more than 100 hours to heal?
2) The manufacturer of a certain brand of automobiles component claims that mean life of these component is 70 months. An independent agency wants to check this claim and took a random sample of 40 components and found that the mean life for this sample is 67 months with a standard deviation of 5 months. At 5% LOS, can we conclude that the mean life of these component is less than 70 months?
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 randomized controlled trial is run to evaluate the effectiveness of a new drug for asthma in children. A total of 250 children are randomized to either the new drug or a placebo (125 per group). The mean age of children assigned to the new drug is 12.4 with a standard deviation of 3.6 years. The mean age of children assigned to the placebo is 13.0 with a standard deviation of 4.0 years. Suppose that there are 63 boys assigned to the new drug group and 58 boys assigned to the placebo group. Is there a statistically significant difference in the proportions of boys assigned to the treatments? Run the appropriate test at a 5% level of significance.
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 %…
Suppose the mean wait-time for a telephone reservation agent at a large airline is 40 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 agont needs to spend with each customer. A random sample of 250 customers results in a sample mean wait-time of 39.1 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? 6-7 (Round to two decimal places as needed.) Calculate the P-value. P.value = Round to three decimal olaces as needed.) ick to select your answer(s).
A UCLA researcher claims that the average life span of mice can be extended by as much as 8 months when the calories in their diet are reduced by approximately 40% from the time they are weaned. The restricted diets are enriched to normal levels by vitamins and protein. Suppose that a random sample of 10 mice is fed a normal diet and has an average life span of 32.1 months with a standard deviation of 3.2 months, while a random sample of 15 mice is fed the restricted diet and has an average life span of 37.6 months with a standard deviation of 2.8 months. Test the hypothesis, at the 0.05 level of significance, that the average life span of mice on this restricted diet is increased by 8 months against the alternative that the increase is less than 8 months. Assume the distributions of life spans for the regular and restricted diets are approximately normal with equal variances. Do not use t-test statistic.