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 A hardware manufacturer produces bolts used to assemble various machines. Assume that the diameter of bolts produced by this manufacturer has an unknown population mean 𝝁 and the standard deviation is 0.1 mm. suppose the average diameter of a simple random sample of 50 bolts is 5.11 mm. (a) Calculate the margin of error of a 95% confidence interval for 𝝁.


A school wants to know the proportion of students who choose online classes as their mode of learning with 90% confidence. The first survey showed that 75% choose online classes as their mode of learning. The school wants to be accurate within 3% of the true proportion. What is the total number of sample size?


The average weight of 25 chocolate bars selected from a normally distributed population is 200 g with a standard deviation of 10 g. Find the interval estimate using 98% confidence level.


What is the real cost of a commodity to a consumer


How many 3-digit numbers can be formed from digits 1 – 5 if:

a. If repetition is allowed?

b. If repetition is not allowed?


What potential difference must be applied to cause a current of 2.5 A in a circuit to have a resistance of 53 ohms?


How many possible passwords are there for the following conditions: 3


digits followed by 2 letters followed by 4 digits? (3 pts)

Proteins are dynamic macromolecules. To study proteins a scientist needs to understand their chemical and physical properties. You are a scientist working in an analytical laboratory, your job description is to analyse proteins. A crude sample containing a protein is to be analysed. Discuss all steps and techniques that can be employed in order to isolate, characterise, and determine its amino acid sequence.

  1. In a population of high school students algebra scores the mean 64 and the standard deviation of 6. Find the z values that corresponds to a score x = 81
  2. A geometry score is 40. If it is given than mean is 42 and the standard deviation is 7.What is the corresponding z score
  3. The average credit card debt for public school teacher is 14975. if the debut is normally distributed with a standard deviation of 5,650 find the probabilities

a. That the teacher owes at least 6,740

b. that the teacher owes more than 19270

c. that the teacher owes between 6740 and 19270


What is a method of sampling in which every member of the population has an equal probability of being chosen?

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