A pharmaceutical company manufactures an 81-mg pain reliever. Company specifications include that the standard deviation of the amount of the active ingredient is 2 mg. The quality-control manager selects a random sample of 30 tablets from a certain batch and finds that the standard deviation is 2.4 mg. Assume that the amount of the active ingredient is normally distributed. Test the claim that the standard deviation of the amount of the active ingredient is greater than 2 mg at the α = 0.05 level of significance.- Test Statistic = ______ (Don't round. Keep all digits.)- P-Value = ______ (Round to thousandths place.)- Decision = ______ (Write "Reject" or "Fail to Reject")

Answered: A pharmaceutical company manufactures a…

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 that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Range for Car 2 R= 70 mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Full data set Sample standard deviation for Car 1 s= mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 1 245 242 215 244 220 265 291 160 284 251 169 319 257 306 267 Sample standard deviation for Car 2 Car 2 s= mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) 230 206 214 236 242 256 245 255 241 264 276 252 250 251 257
A car company says that the mean gas mileage for its luxury sedan is at least 25 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 6 cars has a mean gas mileage of 24 mpg and a standard deviation of 2 mpg. At a = 0.05, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table. Click here to view page 1 of the normal table. Click here to view page 2 of the normal table. Which sampling distribution should be used and why? A. Use a normal sampling distribution because the population is normal, and o is known. B. Use a normal sampling distribution because n> 30. C. Use a t-sampling distribution because the population is normal, and o is known. D. Use a normal sampling distribution because the population is normal, and o is unknown. E. Use a t-sampling distribution because the population is normal, and o is unknown. F. Use a t-sampling distribution because n 25 O C. Ho: µ# 25 Ha: u= 25 D.…
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 57.3 milligrams. Assume the population is normally distributed and the population standard deviation is 7.6 milligrams. Atα=0.07, can you reject the company's claim? Complete parts (a) through (e).
The mean systolic blood pressure for white males aged 35-44 in Canada is U. A report said that the mean blood pressure and standard deviation of a sample of 13 diabetic males aged 35-44 are 128.53 and 7.59, respectively. Let μ denote the true mean systolic blood pressure for diabetic males aged 35-44. H0: μ = 126.38 versus Ha: μ > 126.38 What is the p-value? A.) 0.836 B.) 0.327 C.) 0.418 D.) 0.164
Babies: A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of 4.3 pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is greater than 7 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the =α0.05 level of significance.
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.
A recent study of 100 social workers in a southern state found that their mean salary was $23,000 with a standard deviation of $2100. A similar study of 95 social workers in a western state found that their mean salary was $34,200 with a standard deviation of$3200. Find the test statistic and critical value when the claim that the mean salaries of social workers in the western state is greater than that of social workers in the southern state. Use α = 0.05. Sample1: Social workers in a southern state, Sample2: Social workers in awestern state. a) Find the test statistic b) Find critical value
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.2 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 5.3 pounds/square inch. Assume the standard deviation is known to be 0.7. A level of significance of 0.01 will be used. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.

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