4. The label on a can of pineapple slices states that the mean carbohydrate content per servingof canned pineapple is over 55 grams. It may be assumed that the standard deviation of thecarbohydrates content is 4 grams. A random sample of twenty-five servings has a meancarbohydrate content of 57.3 grams. Is the company correct in its claim? Use a = 0.05

Answered: Image /qna-images/answer/83cd8263-a354-4409-9d7d-bbecccdee7cc.jpg

Answered: 4. The label on a can of pineapple…

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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The weights of tablets are normally distributed with mean 254 mg and standard deviation 4 mg. If exactly 1% of tablets are ‘overweight’, then what weight makes the tablet ‘overweight’?
The empirical rule estabilishes the percentages that are 1,2, and 3 deviations from the mean True Flase
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.05 level that the drug stays in the system for more than 352 minutes. For a sample of 54 patients the mean time the drug stayed in the system was 360 minutes. Assume the population standard deviation is 25. Find the p-value of the test statistic
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.34°F and a standard deviation of 0.56°F. Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.22°F and 99.46°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.78°F and 98.90°F? a. Approximately % of healthy adults in this group have body temperatures within 2 standard deviations of the mean, or between 97.22°F and 99.46°F. (Type an integer or a decimal. Do not round.)
A set of population data has a mean of 586 and a standard deviation of 54.8. Calculate the z-score for a data point that has the value 607.9. Round your answer off to 2 decimal places.
The overall average on a process you are attempting to monitor is 50.0 units. The process population standard deviation is 1.84. Sample size is given to be 16.
Assume that the test scores for biostatistics midterm examination are normally distributed with a mean of 74 and a standard deviation of 10. i. Suppose that you receive a score of 88. What percent of the class received scores higher than yours? ii. Suppose that the teacher wants to limit the number of A grades in the class to no more than 20%. What would be the lowest score for an A?
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
The mean score for first exam in your first organic chemistry class (section A) was 60, with a standard deviation of 5. Your score on the exam was 70. A. How many standard deviations above the mean is your score?
The mean volume of a large population of vials used to be 10.9 ml. To test whether this value has decreased, a random sample of size 300 vials are measured and found to have a sample mean of 10.5 ml. We will assume that the population of vial volumes is normally distributed with standard deviation of 3.6 ml. Test whether the mean population volume has decreased at a level of significance of 1%. Show your relevant steps below. Step 1: Hypotheses: • The null hypothesis Ho is (choose one): µ = 10.9 X = 10.5 x = 10.9 u = 10.5 • For the alternative hypothesis Ha we change the equal sign in Ho to (choose one):

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