The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter ofmillimeters 21.21 mm. A sample of 41 nickles was drawn from a reported defective coin-countermachine located near a school. The sample had a sample mean of 21.214 mm and sample standarddeviation 0.011 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than21.21 mm. Test at the 0.1 significance level.(a) Identify the correct alternative hypothesis H.:Ομ<21.21Ομ= 21.21Ομ > 21.21Give all answers correct to 4 decimal places.(b) The test statistic value is:(c) Using the Traditional method, the critical value is(round to 2 decimal places) :(d) Based on your answers above, do you:O Fail to reject HoO Reject Ho (e) Explain your choice in the box below.(f) Based on your work above, choose one of the following conclusions of your test:O The sample data supports the claimO There is not sufficient evidence to warrant rejection of the claimO There is not sufficient evidence to support the claimO There is sufficient evidence to warrant rejection of the claim(g) Explain your choice in the box below.Submit Question

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Answered: The accuracy of a coin-counter machine…

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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280 men are found to have an average pulse rate of 73 (beats per minute) with standard deviation 5.4, and 240 women are found to have an average pulse rate of 72 (beats per minute) with standard deviation 7.7. A researcher is interested in whether, on average, men have higher pulse rates than women. What is the most appropriate test for the researcher to use? A. chi-square test B. z-test for the difference between two proportions C. paired sample t-test D. two sample t-test
The mean inside diameter of washers produced by a machine is 0.403cm and the standard deviation is 0.005cm. Washers with an internal diameter less than o.397cm or greater than 0.406cm are considered defective.what is the percentage of the washers produced are defective,assuming the diameter are normally distributed?
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.79 millimeters and a standard deviation of 0.07 millimeters. Find the two diameters that separate the top 7% and the bottom 7%. These diameters could serve as limits used to identify which bolts should be rejected. Round to the nearest hundredth if necessary.
Is sea level the same along all coastal regions? To examine this a sample of 12 coastal locations in the Gulf Coast had mean sea level 5.3953m and standard deviation 2.2559m. A sample of 17 locations along the eastern seaboard had a mean 3.4028m and a standard deviation of 1.036m. a. What is the point estimate for the difference in mean sea level? b. What is the standard error of the difference in means? c. What is the margin of error for a 99% confidence interval? d. Construct and interpret the confidence interval for the difference in mean sea level between the Gulf Coast and the eastern seaboard.
the accuracy of a coin counter machine is gauged to accepts nickels with a mean diameter of millimeters 21.21 mm. A sample of 37 nickles was drawn from a reported defective coin-countermachine located near a school. The sample had a sample mean of 21.213 mm and sample standarddeviation 0.01 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greaterthan 21.21 mm. Test at the 0.01 significance level. (Identify the null and alternate hypothesis, teststatistic value, critical value , Determine reject or fail to reject H0
Per the Barron's report the average weeks unemployed is 21.5 (population mean) with a population standard deviation of 5 weeks and a sample of 55. Calculate the standard error of the mean to two decimals.
The diameter of a spindle in a small motor is supposed to be 4.4 millimeters (mm) with a standard deviation of 0.11 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 15 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.27 mm. H0: Ha: (b) Harry thinks that prices in Caldwell are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $20.95 with standard deviation $0.78. He takes a sample from 5 local Caldwell stores and finds the average price for this same brand of detergent is $18.31. H0: Ha:
The president of a college wants to determine the mean number of units that college students take per semester. How large of a sample is required in order to be 99% sure that a sample mean will be off by no more than 1.25 units? An initial study suggested that the standard deviation is approximately 2.1 units.
While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 1.50 m and 5.50 m. What is the standard deviation of the water depth?
The mean diameter of a ball bearing produced by a certain manufacturer is 0.60 cm with a standard deviation of 0.04 cm. A sample of 25 ball bearings is randomly selected from a production run. The sample had a mean of 0.60008 and a median 0.60333. What is the standard error for the sample mean? O A. 0.00032 O B. 0.008 O C. 0.0016 O D. 0.00008 O E. 0.00333
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.
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 = (b) Calculate the P-value. (Use SALT. Round your answer to four decimal places.) (c) Based on a = 0.05, what is the correct conclusion for the hypothesis test? We We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean width of traffic stripes is…

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