Statistics and Probability Answers

1. Suppose X is normally distributed with a mean of 5 and a standard deviation of 0.4. Using the standard score formula, we find P (X ≤ X0) = P (Z ≤ 1.3). What is the value of X0?

2. What will be the value of P (X ≥ 235) given that a normal distribution has µ = 241 and d = 2?

3.The average hourly wage of workers at a fast food restaurant is P338.10/hr. Assume the wages are normally distributed with a standard deviation of P23.41. If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than P351.10?

Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution.

The region where z < 2.37

.A power company wants to see if the average amount of

current passing through a series of connections is larger than

30 milliamperes (mA).

In words,

Ho:

_______________________________________________

_______________________________________________

In symbols,

Ho: µ = 30

In words,

Ha: The average amount of current passing through a series of

connections is larger than 30 milliamperes (mA).

In symbols,

Ha: ____________

The overhead reach distances of adult females are normally distributed with a mean of 195 and a standard deviation of 8.9. a. Find the probability that an individual distance is greater than 208.40 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 192.80 c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

In the last month, the average number of items produced by 16 employees was 200. If 15 of the 16 employees produced a total of 6000 units, how many units did the 16th employee produce?

Nyanza textile ltd sells six brands of shower-proof jacket. The prices and the numbers sold in week are

Price 18,20,25,27

Number sold 8,6,5,2

Question.

Calculate the Pearson correlation coefficient for the data above. Interprete your results.

With the aid of a table, find the sample Standard Deviation of the following dataset:

X = {2.2, 4.7, 6.3, 5.8, 5.7, 7.2, 2.6, 2.4, 6.1, 6.8}

In the given table on the below, solve for Pearson r and interpret the result

X 80,84,86,87,89,90,91,93,94,96

Y 78,83,80,84,89,90,88,91,93,96