WebMar 30, 2024 · Explanation: Given: P ( − 1.96 < z < 1.96), normal distribution z-tables have z-scores listed and their corresponding probabilities. The probability is the area under the curve from 0 to the probability value. The area under the full curve is From the z-tables: P (Z < 1.96) = .9750 P (Z < −1.96) = 0.0250 WebFrom a standard normal table, we find that the probability of observing a z-score less than -0.71 is 0.2389, and the probability of observing a z-score greater than 0.71 is also 0.2389. Therefore, the p-value is: p-value = 2 × 0.2389 = 0.4778. The p-value is 0.4778, which is greater than the significance level of 0.05.
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WebUsing the formula z = x − μ σ we find that: z = 65 − 64 2 = 0.5 Now, we have transformed P ( X < 65) to P ( Z < 0.50), where Z is a standard normal. From the table we see that P ( Z < 0.50) = 0.6915. So, roughly there this a 69% chance that a randomly selected U.S. adult female would be shorter than 65 inches. Example 3-14: Weights WebThe standard normal probability table, shown in Table 7.3.1, gives the probability that a standard normal random variable Z is less than any given number z.For example, the probability of being less than 1.38 is 0.9162, illustrated as an area in Figure 7.3.5.Doesn't it look like about 90% of the area? To find this number (0.9162), look up the value z = … henry oil can
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WebRealize P (z ≤ -1.83) = P (z ≥ 1.83) since a normal curve is symmetric about the mean. The distribution for z is the standard normal distribution; it has a mean of 0 and a standard deviation of 1. For Ha: p ≠ 26, the P-value would be P (z ≤ -1.83) + P (z ≥ 1.83) = 2 * P (z ≤ -1.83). Regardless of Ha, z = (p̂ - p0) / sqrt (p0 * (1 ... WebNov 28, 2024 · P ( z ≤ 0) – P ( z ≤ – 3) 0.5000 – 0.0013 = 0.4987 Numerical Answer The probability for the P ( z ≤ – 1.0) is: = 0.1587 The probability for the P ( z ≥ – 1) is: = 0.8413 The probability for the P ( z ≥ – 1.5) is: = 0.9332 The probability for the P ( – 2.5 ≥ z) is: = 0.9938 The probability for the P ( − 3 < z ≥ 0) is: = 0.4987 Example WebThe minus sign in −0.25 makes no difference in the procedure; the table is used in exactly the same way as in part (a): the probability sought is the number that is in the intersection of the row with heading −0.2 and the column with heading 0.05, the number 0.4013. Thus P ( Z < −0.25) = 0.4013. Example 5 Find the probabilities indicated. henry oji university of nigeria photography