It is believed that animals Iiving in northerm regions have shorter appendages than animals Iiving in southern regions. Random samples of birds were selectedfrom each group and wing lengths for birds (in millimeters) were measured. The following table gives summary statisticsRegionNorthern (N)Southern (S)Difference (d = N S)AverageStandard deviation33116.51.833117.13.7330.61.7(a) Find an 80% confidence interval for the mean difference of wing lengths of birds between the northern regions and the southern regions. (Round youranswers to 4 decimal places, if needed)(b) Based on this confidence interval, is there enough evidence to support the belief?O No, since the interval is completely below 0.O Yes, since the interval contains 0O Yes since the interval is completely below 0.O No, since the interval contains 0.Check

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Answered: It is believed that animals leving in…

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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Manatees are one creature found in coastal waterways. 10 years ago, researchers concluded that the true mean weight of manatees was approximately 1050 lbs. This year, a random sample of 12 manatees were selected, the sample weights are: 956, 1012, 954, 988, 973, 1048, 1075, 1064, 856, 1026, 1031, 1064. Assume the underlying distribution of manatee weights is normal, and population standard deviation o is unknown. Implement a hypothesis test to verify if there is any evidence to suggest the true mean weight decreases now. Solve the hypothesis using P-value method. Let a = 0.05. . Use the given sample data to calculate 90% confidence interval for true mean weight of manatees.
Steel rods are manufactured with a mean length of 22 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.06 cm. Click the icon to view a table of areas under the normal curve. (a) What proportion of rods has a length less than 21.9 cm? 0.0475 (Round to four decimal places as needed.) (b) Any rods that are shorter than 21.86 cm or longer than 22.14 cm are discarded. What proportion of rods will be discarded? 0.0196 (Round to four decimal places as needed.) (c) Using the results of part (b), if 5000 rods are manufactured in a day, how many should the plant manager expect to discard? (Use the answer from part b to find this answer. Round to the nearest integer as needed.)
Use the 1odwing Wildlife: Coyotes A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be z = 2.05 years, with sample standard deviation 8 = 0.82 years (based on information from the book Coyotes: Biology, Behavior and Management by M. Bekoff, Academic Press). However, it is thought that the overall population mean age of coyotes is µ=1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01. Fl in the blanks a 007 • Ho u- 175 years * H u> 176 yean QUESTION 7 What is your test statistic? (t-statistic) 2.48 QUESTION 8 What is your p-value? (Hint You will need the degrees of freedom to find the p-value.) <0.01d QUESTION 9 Do you reject the null hypothesis? O Yes No
On a measure of running speed on a 100 meter dash, students received timed scores ranging from 12 seconds to 24 seconds. The distribution of running times is normative with a mean of 16 seconds. Transferring this ratio data to standard scores for comparison with the results of classes from other departments, the mean score is assigned a standard score of 100 with a standard deviation of 10. From this example, a standard score of 99 would mean the actual value in seconds for an individual would be about a. 16 b. 12 c. 19 d. 24
Steel rods are manufactured with a mean length of 22 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.06 cm. Click the icon to view a table of areas under the normal curve. (a) What proportion of rods has a length less than 21.9 cm? 0.0475 (Round to four decimal places as needed.) (b) Any rods that are shorter than 21.86 cm or longer than 22.14 cm are discarded. What proportion of rods will be discarded? 0.0196 (Round to four decimal places as needed.) (c) Using the results of part (b), if 5000 rods are manufactured in a day, how many should the plant manager expect to discard? 98 (Use the answer from part b to find this answer. Round to the nearest integer as needed.) (d) If an order comes in for 10,000 steel rods, how many rods should the plant manager expect to manufacture if the order states that all rods must be between 21.9 cm and 22.1 cm? (Round up to the nearest…
Steel rods are manufactured with a mean length of 26centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.05 cm. Complete parts (a) to (d). (a) What proportion of rods has a length less than 25.9cm?
Per the Barron's report the average weeks unemployed is 21.5 (population mean) with a population standard deviation of 5 weeks and a sample of 55. Calculate the standard error of the mean to two decimals.
the height of American men is normally distributed with a mean of 70 in and a standard deviation of 3 in. what are the heights in inches that define the most extreme 8% of the population of American men?
In one region, the September energy consumption mean of 1000 kWh and a standard deviation of 225 kWh. Describe the center and variability of the sampling distribution of the sample mean for a random sample 50 single-family homes from this region. Select one: Type your answer here: I. Next
The ages of a group of 138 randomly selected adult females have a standard deviation of 17.5 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so leto= 17.5 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 95% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The required sample size is (Round up to the nearest whole number as needed.)
Bolts produced by a machine are acceptable provided that the length is within the range from 5.95 to 6.05 centimeters. Suppose that the bolts produced by the machine are normally distributed with a mean of 6 cm with a standard deviation of 0.02 cm. What percentage of bolts produced by the machine will be acceptable?
To determine whether there is a significant difference in the weights of boys and girls beginning kindergarten, random samples of 50 boys and 50 girls aged 5 years produced the following information. Mean Standard Deviation Sample Size Boys 43.5 lb 6.8 50 Girls 38.7 lb 3.5 50 (a) What is the point estimate of the difference in the average weights for 5-year old boys and girls? (Use ?Boys − ?Girls.) lb What is the 95% margin of error for the point estimate you found? (Round your answer to three decimal places.) lb (b) What is the 98% confidence interval estimate of ?Boys − ?Girls? (Round your answers to two decimal places.) lb to lb

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