Calibrating a scale: Making sure that the scales used by businesses in the United States are accurate is the responsibility of the National Institute forStandards and Technology (NIST) in Washington, D.C. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly 1000 grams.The standard deviation for scale reading is known to be o=3.2. They weigh this weight on the scale 52 times and read the result each time. The 52 scalereadings have a sample mean of x= 1000.6 grams. The calibration point is set too high if the mean scale reading is more than 1000 grams. The technicianswant to perform a hypothesis test to determine whether the calibration point is set too high. Use a =0.10 level of significance and the critical value method. Determine whether to reject H(Choose one) v the null hypothesis H.RejectDo not reject

Given data: Population mean = 1000 Sample mean = 1000.6 Population standard deviation = 3.2 Sample…

Answered: Calibrating a scale: Making sure that…

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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Of 378 randomly selected medical students 22 said that they planned to work in a rural community. Find a 92% confidence interval for the percentage of all medical students who plan to work in a rural community. Procedure: Assumptions: (select everything that applies) Normal population Simple random sample Sample size is greater than 30 The number of positive and negative responses are both greater than 10 Population standard deviation is known Population standard deviation is unknown Unknown parameter:
The distribution of the weights of cereal in boxes of a specific brand of cereal is approximately normally distributed with mean 14 ounces and standard deviation 0.12 ounce. Complete parts (a) and (b) below. Part B The company should advertise the weight of the cereal in each box to be?
1. Ci in Since measurement 8 lies outside the range, it may be omitted in the calculation of the reported value. Omit measurement 8 and recalculate the mean (X). Fill in the d and d² columns in the table, then calculate the standard deviation (s) and the range. Recalculated mean (x), without measurement 8: CASS Balance Number Mass (g) = xm 24.29 24.26 24.17 24.31 24.28 24.19 24.33 24.50 24.30 24.23 1 2 3 4 5 6 7 8- OMITTED 9 10 sum of Xm: Recalculated standard deviatiation (s): SHOW CALCULATIONS: d=Xm-X sum of d²: and range: d²
The weights of broilers are approximately normally distributed with mean 1387 grams and standard deviation 161 grams. What proportion of broilers weigh between 1100 and 1200 grams? O 15.87% O 17.17% O 8.54% O 35.93%
This is the homework Exercise 3.36. The combined city and highway gas mileage of the vehicles is approximately Normal with mean 23.0 miles per gallon (mpg) and standard deviation 4.9 mpg. How high must a vehicle's gas mileage be to fall in the top 15% of all vehicles?
Draw a bar graph comparing the means and standard deviation of both sexes and label axes. based on the picture bellow:
15. The average length of a blue whale is 88 feet with a standard deviation of 11 feet. Use this information to answer the following questions:a. What percent of blue whales are longer than 100 feet?z = __________, percent = __________b. What percent of blue whales are shorter than 79 feet?z = __________, percent = __________c. What percent of blue whales are between 75 and 100 feet long?z1 = __________, z2 = __________, percent = __________
Baby weights: The weight of male babies less than 2 months old in the United States is normally distributed with mean 18 pounds and standard deviation 3.1 pounds. Use the TI-84 Plus calculator to answer the following. (a) What proportion of babies weigh more than 13 pounds? (b) What proportion of babies weigh less than 14 pounds? (c) What proportion of babies weigh between 11 and 15 8 pounds? (d) is it unusual for a baby to weigh more than 18 pounds? Round the answers to four decimal places.
What is the population standard deviation using the following formula
The problem below looks at forecasting methodologies to determine which forecasting model results in the most accurate forecasts. Accuracy is determined by the lowest mean absolute deviation. Emergency calls to the 911 system of York County for the past 24 weeks are shown below. Accurate forecasts are needed to determine the number of operators needed to staff the station. Week # of Calls 1 50 2 35 3 25 4 40 5 45 6 35 7 20 8 30 9 35 10 20 11 15 12 40 13 55 14 35 15 25 16 55 17 55 18 40 19 35 20 60 21 75 22 50 23 40 24 65 SIMPLE LINEAR REGRESSION Use all of the data, weeks 1 - 24, to calculate the regression equation for this data. Use the weeks (1-24) as the independent variable (x) and number of calls as the dependent variable (y). Once you have the equation, forecast weeks 4 through 24 (enter 4, 5, 6, etc. as the x…
PART 3 A car mat manufacture been having quality issues with its production. A series of tests were carried out to measure the resulting pH of the most common carpet produced, Type 1, as a good indicator of quality. For the following questions show all calculations and formula used. What is the mean, mode and range of the pH after dyeing? Table – Type 1 pH after addition of dye 5.105 to 5.3 5.305 to 5.5 5.5.05 to 5.7 5.705 to 5.9 5.905 to 6.1 6.105 to 6.3 6.305 to 6.5 No. of samples 1 5 7 8 7 4 1 For pH after addition of dye calculate the standard deviation, showing your calculations in full. Plot the standard deviation graph in Excel showing the distribution. From your calculations and the data Give the minimum and maximum limits the pH may be, given that the distribution is normal. Calculate the probability that a randomly selected carpet sample will have a PH of (i) 6.1 and (ii) 5.4. Further tests were carried on a…
You may need to use the appropriate appendix table or technology to answer this question. Studies show that massage therapy has a variety of health benefits and it is not too expensive. A sample of 11 typical one-hour massage therapy sessions showed an average charge of $54. The population standard deviation for a one-hour session is o = $7.5. (a) What assumptions about the population should we be willing to make if a margin of error is desired? O we should be willing to make the assumption that the population is at least approximately skewed right. O we should be willing to make the assumption that the population is at least approximately normal. O we should be willing to make the assumption that the population is at least approximately bimodal. O we should be willing to make the assumption that the population is at least approximately uniform. O we should be willing to make the assumption that the population is at least approximately skewed left. (b) Using 95% confidence, what is the…

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