A machine that dispenses coffee is calibrated such that themachine on average dispenses 7.0 ounces. However, thecompany is looking to test the machine to ensure that thecalibration is on point. The company chooses to randomlysample 10 cups of coffee, in which they found the averagecontents to be 7.4 ounces. They know the populationstandard deviation is 0.2 ounces. Does the company needto re-calibrate their machine, meaning has it slipped out ofcalibration either way? Perform a hypothesis test whereα= 0.05 .Assume that the sample is normallydistributed.1.) State the Null and alternate Hypothesis:Ho: ? ◆HA:2.) Calculate you test statistic(round to two decimalplaces):? ◊? îounces3.) Identify the P-Value:ounces4.) Compare your p-value to the significance levelp-value ? α = 0.05

Given information Sample mean x̅ = 7.4 ounces Population mean µ = 7.0 ounces Sample size n = 10…

Answered: A machine that dispenses coffee is…

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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A machine that paints traffic stripes on roads is mounted on a truck and set to a width of 4 inches. Road crews adjust the mount to ensure the width is correct. A road inspector checks the width of 45 random stripes to see if the machine has slipped out of adjustment. The mean diameter for this sample is x = 3.89 inches with a standard deviation of s = 0.5 inches. Does this indicate that the machine has slipped out of adjustment and the average width of stripes is no longer μ = 4 inches? Use a 5% level of significance. Conduct a t test to examine whether the mean width of stripes is different from 4 inches. (a) Calculate the test statistic. (Round your answer to two decimal places.) t = -1.47 (b) Calculate the P-value. (Use SALT. Round your answer to four decimal places.) 0.0246 (c) Based on a = 0.05, what is the correct conclusion for the hypothesis test? We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean width of traffic…
A light bulb manufacturer wants to determine how large a sample is needed to test the hours a light bulb has. The manufacturer wants to be 99% confident and a margin of error of 25 hours. It is known that the population standard deviation is 300 hours. What is the minimum number of light bulbs to be tested?
The weight of male contestants is normally distributed with a mean of 96 kg pounds and a standard deviation of 12 kg. If 35% of contestants satisfy a maximum weight requirement for police officers, what is the maximum weight requirement?
Consider a normally distributed population with a mean of 196 and a standard deviation of 20. Find the value from this population that gives the 0.195 percentile. (Please round your answer to one decimal place, e.g. 0.6.)
Should you generate electricity with your own personal wind turbine? That depends on whether you have enough wind on your site. To produce enough energy, your site should have an annual average wind speed of at least 8 miles per hour, according to the Wind Energy Association. One candidate site was monitored for a year, with wind speeds recorded every 6 hours. A total of 1114 readings of wind speed averaged 8.019 mph with a standard deviation of 3.813 mph. You have been asked to make a statistical report to help the landowner decide whether to place a wind turbine at this site. Complete parts a and b below. SEITENLIVIT wonini sisiva. C. The Nearly Normal Condition is satisfied. D. The 10% Condition is satisfied. E. None of the assumptions are met. b) Find the 95% confidence interval. A. ... 7.795, 8.243 (Round to three decimal places as needed.) OB. The confidence interval cannot be calculated because not all assumptions were fulfilled in part a. Is this site suitable for a small wind…
The heights of 10 year old American children are normally distributed with a mean height of 4 feet and 5 inches (or 53 inches) and a standard deviation of 4.5 inches.In order to be allowed to go on a particular kids ride at the amusement park, children must be at least 44.9 inches tall and no more than 59.75 inches tall.What percent of 10 year old American children cannot go on the ride?
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The combined SAT scores for the students at a local high school are normally distributed with a mean of 1469 and a standard deviation of 296. The local college includes a minimum score of 1824 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?
Using traditional methods, it takes 11.7 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 23 students and observed that they had a mean of 11.3 hours with a standard deviation of 1.4 A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis. Is it reject null hypothesis or fail to reject null hypothesis
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1478 and a standard deviation of 292. The local college includes a minimum score of 689.6 in its admission requirements.What percentage of students from this school earn scores that satisfy the admission requirement?
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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