What is the probability that a data value in a normal distribution is between a Z-score of -1.42 and a z-score of -0.34? Round your answer to the nearest tenth of a percent. O A. 27.9% B. 29.9% С. 28.9% D. 26.9%
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- Heights of boys in a high school are approximately normally distributed with a mean of 175 cm and a standard deviation of 5 cm. What is the first quartile (25%) of heights? (Hint. you need to find the Z-score associated with 25th percentile from the table on page 410) a. 165.8 cm b. 169.6 cm c. 171.7 cm d. 173.5 cm e. 181.0 cmThe data to the right represent the weights (in grams) of a random sample of 50 candies. Complete parts (a) through (f). 0.82 0.82 0.94 0.97 0.76 0.85 0.88 0.77 0.82 0.92 0.81 0.78 0.77 0.78 0.74 C (a) Determine the sample standard deviation weight. gram(s) (Do not round until the final answer. Then round to three decimal places as needed.) 0.83 0.88 0.91 0.76 0.73 0.85 0.93 0.83 0.85 0.81 0.89 0.84 0.94 0.79 0.85 0.84 0.87 0.96 0.73 0.88 (c) Use the Empirical Rule to determine the percentage of candies with weights between 0.711 and 0.967 gram. Hint: x = 0.839. % (Type an integer or decimal. Do not round.) (d) Determine the actual percentage of candies that weigh between 0.711 and 0.967 gram, inclusive. % (Type an integer or decimal. Do not round.) (e) Use the Empirical Rule to determine the percentage of candies with weights more than 0.903 gram. % (Type an integer or decimal. Do not round.) (f) Determine the actual percentage of candies that weigh more than 0.903 gram. % (Type an…You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 21 night students and 22 day students and their GPA's are recorded below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places. GPA-Night GPA-Day 3.32 3.1 3.22 3.26 3.55 3.25 3.03 3.51 3.22 3.21 3.12 3.05 2.86 3.38 3.32 3.08 3.16 2.88 3.13 3.43 3.15 3.17 3.13 3.26 2.97 2.46 3.3 3.28 3.5 3.19 3.37 3.46 3.88 2.86 3.61 2.89 3.51 2.91 3.11 2.32 3.06 3.16 2.03 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem.H0: H1: Based on the hypotheses, find the following:Test Statistic=p-value=The correct decision is to .The correct summary would be:…
- The amount of time, in minutes, that a person must wait for a taxi is uniformly distributed between 1 and 30 minutes, inclusive. Find the 60th percentile. 10.5 12.6 14.9 16.2 18.4 20.1Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…What is the probability that a data value in a normal distribution is between a z-score of -1.13 and a z-score of -0.19? Round your answer to the nearest tenth of a percent. A. 26.5% O B. 28.5% OC. 27.5% OD. 29.5%
- Q10 The heights of the adults in one town have a mean of 67.4 inches and a standard deviation of 3.4 inches. What can you conclude from Chebyshev's theorem about the percentage of adults in the town whose heights are between 57.2 and 77.6 inches? A. The percentage is at most 99.7% B. The percentage is at least 88.9% C. The percentage is at most 88.9% D. The percentage is at least 99.7%e average American man consumes 9.6 grams of sodium each day. ppose that the sodium consumption of American men is normally stributed with a standard deviation of 0.8 grams. Suppose an American nan is randomly chosen. Let X = the amount of sodium consumed. Round Al numeric answers to 4 decimal places where possible. %3D a. What is the distribution of X? X - N( b. Find the probability that this American man consumes between 9.5 and 10.6 grams of sodium per day. c. The middle 20% of American men consume between what two weights of sodium? Low: High: