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Find the range, the standard deviation, and the variance for the given samples. Round non-integer results to the nearest tenth.

2, 8, 9, 12, 16, 19, 21


A study of a specific grade of steel suggests that yield strength (ksi) is normally distributed with


and mu = 42 and sigma = 4.3 a. (10 points) What is the probability that yield strength is at most 40? b. (5 points) What is the probability that yield strength is greater than 50?


Random samples of size 2 are taken from a population of numbers 2,4,6, 7 and 8. Compute for the population mean.


X=123 ; n=1200 what is p and q?



A study about the number of sleeping hours among call center agents is being conducted in abc company. The population shows a normal distribution with a mean of 6.2 hours. Twentt-five employees were subjected to test and results showed a standard deviation of 0.8. What is the probability that the agents sleep less than 6.5 hours?

You play a game with two six-sided dice. If you roll a sum of 8, you win P800 and if you roll a sum of 6, you win P600. However, you lose P500 if you roll anything else. If you continue to play this game, how much do you expect to win lose or win in the game?


Identify the claim: A researcher reports that the average salary of a teacher is less than ₱20,000. A sample of 55 nurses has a mean salary of ₱19,500. At α = 0.05, test the claim that a nurse earn less than ₱20,000 a month. The standard deviation of the population is ₱2,900. *

Identify the claim: A researcher reports that the average salary of a teacher is less than ₱20,000. A sample of 55 nurses has a mean salary of ₱19,500. At α = 0.05, test the claim that a nurse earn less than ₱20,000 a month. The standard deviation of the population is ₱2,900.

A population consist of the values 1 4 3 2 with sample size 2 sampling distribution

1 A random sample of size 70 was used with a population standard deviation. of 15. Assuming that there is a 92% confidence level, what is the margin of error?



n =



σ=



Za/2 =



formula to be used:



solution:



2. Compute for the appropriate sample size needed if the margin of error is 15, with a population standard deviation of 43 and a 98% level of confidence.



E =



σ =


Za/2 =



formula to be used:


solution: