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Β 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 π 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 π.
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.
- 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
- 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
- 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?
The average height of a random sample of 400 people from San Pablo City is 1.75m. It is known that the heights of the population are random variables that follow a normal distribution with a variance of 0.16. Determine the interval of 99% confidence for the average heights of the population.Β
The owner of a restaurant that serves continental food wants to study characteristics of his customers. He decides to focus on two variables: the amount of money spent by customers and whether customers order dessert. The results from a sample of 60 customers are as follows:
β’ Amount spent ( =$38.54, S= $7.26)
β’ 18 customers purchased dessert.
Construct a 95% confidence interval estimate of the population mean amount spent per customer in the restaurant. _____________
Construct a 90% confidence interval estimate of the population proportion of customers who purchase dessert
The prevalence of a certain type of cancer among men aged 55βππ is 1 in 100. A blood test will be positive 95% of the time if the cancer is present but it is also positive 4% of the time if the cancer is not present. 2.1. In a routine checkup, 56-year-old men receive a positive blood test. What is the probability that he has the type of cancer? 2.2. What is the probability that a randomly selected 56-year-old men tests negative?
In a given normal distribution, the population mean is 80 and the population standard deviation is 2.5. Find the corresponding standard z β score of the following values.
The population of each classroom for face-to-face classes consists of the numbers 10, 11, 15, and 9. List all the sample size of 3 from this population and compute the mean of each sample.
#339914 on Dec 2023