thA scientist studying babies born prematurely would like to obtain an estimate for the mean birth weight, µ, of babies born during the 24"" week of the gestationperiod. She plans to select a random sample of birth weights of such babies and use the mean of the sample to estimate u. Assuming that the population ofthbirth weights of babies born during the 24"" week has a standard deviation of 2.6 pounds, what is the minimum sample size needed for the scientist to be 95%confident that her estimate is within 0.5 pounds of µ?Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum wholenumber that satisfies the requirements).(If necessary, consult a list of formulas.)ContinueSubmit As

Given: Population sd,σ=2.6 pounds Margin of error, E=0.5 pounds Confidence level=95%

Answered: A scientist studying babies born…

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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Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 3000 grams and a standard deviation of 600 grams while babies born after gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 440 grams. If a 32 week gestation period baby weighs 3225 grams and a 41 week gestation and 41 week gestation period baby weighs 3425 grams find the corresponding z scores which baby weigh more relative to the gestation period
Beta company is manufacturing steel wire with an average tensile and strenght of 50 kilos. The laboratory tests 16 pieces and finds that the mean is 47 kilos and the standard deviation of is 15 kilos. Are the reuslts in accordance with the hypothesis that the population mean is 50 kilos.
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 22cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.12 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.91 oz and 12.55oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.16oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.16 oz. Use a 0.025 significance level. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. b. Compute the test statistic. χ2= (Round to three decimal places as needed.) c. Find the P-value. P-value= (Round to four decimal places as needed.) d. State the conclusion. ________H0,because the P-value…
A random sample of size 36 drawn from the population of a known mean of 50 and standard deviation of 10 gave a sample mean of 55 and a sample variance of 144. Estimate the sampling error.
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 models the trees' ages using a normal distribution with a mean of 251 years and a standard deviation of 50 years. Use this table or the ALEKS calculator to find the percentage of trees with an age between 187 years and 229 years according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%). % ?
In this problem we will assume that the weight measurements of stroke patients over 80 years old at RWJ hospital are normally distributed with a true standard deviation of 20lb. Compute a 95% CI for the true average weight if the mean of a random sample of 25 stroke patients is 160 lb. Suppose we want to test the null hypothesis that the mean weight of stroke patients over 80 years old is 175 vs the alternative that it is less than 175 pounds. Which test should I use and why?. Follow the test procedure for a 5% significance level and interpret the test result in terms of the mean weight of stroke patients.
Among 157 African American men ,the mean systolic blood pressure was 146 mm Hg with a standard deviation of 27. We wish to know if based on these data, we may conclude that the mean systolic blood pressure for a population of African American is greater than 140. Use α=0.01
A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x=2.07 years with sample staved deviation s=0.88 years. However, it is thought that the overall population mean age of coyotes is u=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
It takes an average of 8.8 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected 44 injured patients to immediately tell the truth about the injury and noticed that they averaged 8.4 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.98 minutes. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: %3D H1: c. The test statistic t v is -1.34. Enter it here (please show your answer to 3 decimal places.) d. The p-value is 0.0936337479. Enter it here (Please show your answer to 4 decimal places.) e. The p-value is > f. Based on this, we should fail to reject the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly less than 8.8 at…
A veterinary researcher takes an SRS of 60 horses presenting with colic whose average age is 12 years. The average age of all horses seen at the veterinary clinic was determined to be 10 years. The researcher also determined that the standard deviation of horses coming to the veterinary clinic is 8 years. After making a histogram of the ages of the horses with colic, the researcher finds a skewed distribution. The researcher decides there is no need to increase the sample size because the law of large numbers: a. depends on the sample size being just right when the population distribution is skewed. O b. does not depend on the population distribution being either skewed or symmetric. O c. requires a population distribution that is Normal. O d. All of the answer options are correct.
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A protein shake company Bulk Builders has been taking data on how their shake builds muscles. The data from their population is average Joe gains a µ=10lbs of muscle, with a standard deviation of 4 lbs. The company would like to make better claims and wants to know what the probability of getting a gain of SEM=20lbs.You will need to find the z score but, first draw the normal curve and shade in the area that they are interested in finding.

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