Suppose we want to test the concentration (μg/mL) of a specific dose of penicillin in the blood at acertain period of time. We randomly select 35 volunteers who have received penicillin and find theyhave a mean of 7.0 μg/mL. Past studies indicate the standard deviation is 2.0 µg/mL. The researcherthinks the mean concentration level will be at most 8.0. Test at a significance level of 0.05. (Round tothe nearest hundredth 0.00)a) What is the null and alternative hypothesis?Ho:Ha:b) What is the test statistic and calculate its value?c) Find the p-value or critical value depending on the test statistic used above.d) What is your decision and interpretation? c) Find the p-value or critical value depending on the test statistic used above.d) What is your decision and interpretation?e)Find the minimal sample size for the population parameter to be within0.8 μg/mL at a 95% level of confidence.If I decrease the confidence level %, would the sample size be more orless than your above answer?Upload Choose a File

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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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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
H0 : =150.00 kPa H1 :>150.00 kPa b) α= 0.01; sample variance : 1300 freq. table sample deviation : 36.0555 freq. table
Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 1.75 kg with a standard deviation of 0.33 kg. After years of marked oxygen depletion from pollutants in the creek, a biologist wants to see if the standard deviation, o, of weights has changed. The biologist measures the weights of 20 randomly chosen mature rainbow trout from the creek and finds that the sample standard deviation is 0.38 kg. Assume the current weights of mature rainbow trout in the creek follow a normal distribution. Does the biologist have sufficient evidence to conclude that the population standard deviation, o, differs from 0.33 kg? To answer, complete the parts below to perform a hypothesis test. Use the 0.10 level of significance.
The sample mean of depression scores of 16 fifth graders was 4.4 with standard deviation of 8. If the population mean of this depression score is 6, what is the calculated t score for this sample?
A trial study suggest that the standard deviation for the half life for the drug chlordiazepoxide is 8 hours. With 99% confidence, find the sample size needed to determine the mean half life for the drug with a margin of error of 3 hours.
Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. Compute the Z-score for a boy with height of 150 cm and find the correct interpretations. a. Boy's height is 0.71 standard deviation lower the national average b. Boy's height is 1.71 standard deviation above the national average c. Boy's height is 1.71 standard deviation lower than the national average d. Boy's height is 2.71 standard deviation above the national average
Many people believe that the average number of Facebook friends is 328. The population standard deviation is 32.2. A random sample of 60 high school students in a particular county revealed that the average number of Facebook friends was 340. At α = 0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 328?
In Professor Krugman’s economics course, the correlation between the students’ total scores prior to the final examination and their final‑examination scores is ?=0.5.r=0.5. The pre‑exam totals for all students in the course have mean 280280 and standard deviation 40.40. The final‑exam scores have mean 7575 and standard deviation 8.8. Professor Krugman has lost Julie’s ﬁnal exam but knows that her total before the exam was 300.300. He decides to predict her ﬁnal‑exam score from her pre‑exam total. (a) Which of the choices is the least‑squares regression line of ﬁnal‑exam scores on pre‑exam total scores in this course?
We want to estimate the mean distance travelled to work by employees of a large manufacturing firm. Past studies indicate that the variance of these distances is 4.0 km2and that the distances follow a normal distribution. How many employees should be chosen at random and polled if the estimated mean distance is to be within 0.1 km ofthe true mean with a confidence level of 95%?
According to National Health Survey heights of men are normally distributed with mean of μ=69.0 inches and standard deviation σ=2.50 . What length of a bed is satisfactory for at least 95% of all men?
The valve pressure was tested on 250 engines and the mean pressure was 5.9 lbs/square inch. Assume the variance is known to be 0.36. If the valve was designed to produce a mean pressure of 5.8 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs about the specifications?
Low-density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean? Use the 68–95–99.7 rule. (Enter your exact answer as a whole number.) percentage %

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