A normal distribution has µ = 25 and o = 4. Find the z-score corresponding to x = 11.3 (Round to two decimal places. CAREFUL ON ROUNDING)

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Find the value of za/2 when 1- a = .98. Explain your answer by using the standard normal curve.

Can you solve 6,7,8, and 9 and explain the process as to how you got the answers

Exactly 95% of a normal distribution is located between z = +1.96 and z = -1.96. How much of the distribution is located in the tail beyond z = +1.96?

The Z-score tells you the number of standard deviations away from the mean (and in what direction) a data value is. The formula: Z = *- can be used to find the Z-score for a single member of the population. Notice X - μ tells you the signed distance the data value (X) is from the mean. When you divide that by the size of each chunk (the standard deviation) you are measuring the distance in units of the size of the standard deviations (how many standard deviations fit in the distance between the data value and the mean) - which gives you the Z-score. The formula X = μ+Z.o can be used to find the value in the population when given the Z-score (signed number of standard deviations). Notice that Z. tells you how far from the mean the data value is (since Z is the number of standard deviations and is the size of each standard deviation the product tells the total distance). So adding the distance from the mean to the mean gives the location along the number line for the data value. A…