A Japanese company manufacturing Tonkatsu sauce uses a special kind of machine to dispense the sauceingredients into containers that move along a conveyor. The machine that dispenses this sauce is workingperfectly when the mean weight of 224 grams are dispensed. A quality control inspector determine whether ornot the weight should be adjusted. In a sample of 45 containers, the mean is 228.48 grams and the standarddeviation is 10.86 grams from past data. Using a 0.1 level of significance, can it be concluded that the processwill not produce a weight equal to 224 grams?1.State the null hypothesis, Ho: [Select][Select]2. Select the level of significance,zo = [Select]3. Compute the test statistics, z= [Select]4. Make a decision [Select]Vand the alternative hypothesis, Ha:

This is example of two tailed test for population mean. Here Population standard deviation is not…

Answered: A Japanese company manufacturing…

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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An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 60 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. C. The wind speed in Region A is not less than the wind speed in Region B. D. The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha. Ho: H1 2 H2 Ha: 1 В. z C. z< - 1.645 (c) Find the standardized test statistic z. (Round to two decimal places as needed.)
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 67 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 64 miles per hour and 70 miles per hour. (Assume the data set has a bell-shaped distribution.)
A manufacturer of bolts has a quality control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality control engineer knows that the bolts coming off the assembly line have a mean length of 8cm with a standard deviation of 0.05 cm. For what length will a bolt be destroyed?
The strength of the welds in a new manufacturing process is measured by the amount of weight needed to break the weld. The strength of the welds is normally distributed with mean 583 pounds. 30% of the welds had strength less than 500 pounds. What is the standard deviation of the strength of the welds?
A doctor in the oncology department of a hospital surveyed the breathing rate of cancer patients. The mean and standard deviation of breathing rates for a group of patients are 12 and 2.3 breaths per minute, respectively.Find the proportion of the patients having breathing rates from 7.4 to16.6 breaths per minute.
A musicologist is attempting to determine the mean length of modern pop songs. She conducts a sample of 40 songs, and finds a sample mean of 214 seconds., with a standard deviation of 10 secods. Assume that the distribution of lengths of pop songs is nearly normal.Define your variable: Let p be the proportion of pop song that are seconds long. Let μμ be the mean length of the sampled pop songs, in seconds. Let μμ be the mean length of pop songs, in seconds.. Let p be the proprotion of songs in the sample. Create and interpret a 95% Confidence Interval. Round your answers to one decimal place. and seconds.What is the margin of error? Round your answer to one decimal place. seconds.According to Google, the mean length of pop songs is 210210. What do you think of this claim? The claim is inside the interval. It is reasonable. The claim is above the sample mean, so there is no way it can be true. The claim is inside the interval. It must be true. That claim is not in our…
the average hourly wage of production workers in manufacturing in 2007 was $17.41.Assume the variable is normally distributed. If the standard deviation of earning is$3.72, find the percent of production workers who Earned more than $18.55
A certain data set has a variance of 9. Find the standard deviation of the data set.
A sample of 75 will be drawn from a population of test takers with a mean of 150 and standard deviation 9. Find the 85th percentile.
Thirty-two small communities in Connecticut (population near 10,000 each) gave an average of x = 138.1 reported cases of larceny per year. Assume that ? is known to be 44.1 cases per year. a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limitupper limitmargin of error (b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limitupper limitmargin of error (c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limitupper limitmargin of error (d) Compare the margins of error for parts (a) through (c). As the confidence levels increase, do the…
The mean speed of vehicles along a stretch of highway is 75 miles per hour with a standard deviation of 3.8 miles per hour. Your current speed along this stretch of highway is 62 miles per hour. What is the z-score for your speed?

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