The number of vacation days taken by the employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. Is this a case of sample standard deviation or population standard deviation? What are some differences between sample standard deviation and population standard deviation?
For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? What is the probability that the number of days of vacation taken is more than 21 days? Discuss the solutions and an explanation.
Since sample size 'n' is unknown. You need not to worry whether its sample or population standard deviation. Consider the standard deviation given in the problem as population standard deviation or sample standard deviation. it's not going to affect the answer, Provided if n is unknown.
When to use sample or population standard deviation
The standard deviation is a measure of a score within a set of data. Usually, we are interested in knowing the population standard deviation because our population contains all the values we are interested in. Therefore we normally calculate the population standard deviation if you have the entire population or you have a sample of a larger population. Usually denoted by the letter ''.
You will calculate the sample standard deviation when a small proportion of the sample is drawn from the population. Usually denoted by the letter 's'.
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The number of vacation days taken by the employees of a company is normally distributed with...
The days of training a new employee needs are normally distributed with a population standard deviation of 3 days and an unknown population mean. If a random sample of 23 new employees is taken and results in a sample mean of 18 days, use Excel to find a 90% confidence interval for the population mean. Round the final answer to two decimal places.
The weights of employees in a large company are normally distributed with a mean of 88 kg and a standard deviation of 21 kg. What is the probability that the weight of a randomly selected employee is 89kg?
on Help A sample of 51 values is taken from population that is normally distributed with a mean of 341 and a standard deviation of 52. Find the probability that the sample standard deviation is less than 46. PCS < 46) = 0 (Round to four decimal places as needed.)
For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample of 50 is taken from the population, what is the probability that the sample mean will be greater than 36.5?
Question Overall, the amount of days attended (per summer) is normally distributed around 35 days with a standard deviation of 4 days What's the probability that the number of attended days will be above 28? What percentile does an attendance of 35 days rank at? What is the probability of attending between 33 and 39 days? The parents with children at or below the 10%ile of number of days attended need to bring an explanatory note. What will be the...
1) The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days. 2) The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting more than 300 days. 3) An airline knows from experience that the distribution of the number...
The weight of the contents of a type of box of cereal is normally distributed with population mean μ = 30 ounces and population standard deviation σ = 3.2 ounces. A random sample (size n = 25) is taken. What is the probability that the sample mean is less than 31.74 ounces?
suppose the lengths of the pregnancies' of a certain animal are approx. normally distributed with a mean = 255 days and standard deviation of 14 days what is the probability that a random sample of 48 pregnancies has a mean gestation of 250 days or less? (d) the probability that the mean of a random sample of 48 pregnancies is less than 250 days is approx. ___?
The salaries of the employees of a corporation are normally distributed with a mean of $25,000 and a standard deviation of $5,000. a. What is the probability that a randomly selected employee will have a starting salary of at least $31,000? b. What percentage of employees has salaries of less than $12,200? c. What are the minimum and the maximum salaries of the middle 95% of the employees? d. If sixty-eight of the employees have incomes of at least $35,600,...
For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample of 50 is taken from the population, what is the probability that the sample mean will be between 35 and 37.5?