2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items.
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- A market research company is interested in the home owership rates across Melbourne suburbs. They survey 253 households in the suburb of Carlton where the true probability of being a home owner for a given household is 0.782. Assume that the home ownership status of each households is independent of others. 1. What is the distribution of X? 2. What is the variance of X? 3. What is the probability that X is greater than 200 ? 4. What is the probability that X is less than or equal to 200?Which statement about the normal distribution is false? Approximately 68 % of the data lie within 1 standard deviation of the mean. Approximately 99.7% of the data lie within 3 standard deviation of the mean. None of these is true. Approximately 95% of the data lie within 2 standard deviation of the mean. SAMSUNG C Oll % & ★Jump to... Which one of the following statements about the distribution of the sample proportion is false? Select one: a. The distribution of the sample proportion is approximately normal for large sample sizes. b. The mean of the sample proportion is equal to the population proportion of successes, p. c. The variance of the sample proportion always decreases as the population proportion of successes decreases. d. The variance of the sample proportion is equal to p(1-p) divided by the sample size, n. e. As the population proportion increases, the mean of the sample proportion increases. Previous page Nex
- You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 28 night students and 29 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 3.46 3.18 2.77 2.84 3.44 3.22 3.16 3.22 3.37 3.46 2.94 3.33 2.74 2.98 3.1 3.03 2.8 3.1 3.2 3.23 3.43 3.22 3.03 3.1 3.42 3.23 2.88 3.27 2.65 2.93 3.53 3.16 3.32 3.24 2.94 3.25 2.21 3.17 2.81 2,83 2.89 3.35 2.32 3.28 2.25 3.07 3.4 3.24 2.84 3.43 3.13 3.05 2.25 2.73 2.62 2.83 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. Ho: Select an answer Select an answer H: Select an answer Select an answer Based on the hypotheses, find the following: Test Statistic- p-value- The correct decision is to Select an answer e that…For the normal probability plot shown below, the correlation between the random variable X and expected z-scores is 0.889. Determine whether the sample data (n = 15) could have come from a population that is normally distributed Click the icon to view the normal probability plot. Click here to view the table of critical values of the correlation coefficient. OA. The normal probability plot indicates that the sample data could have come from a population that is normally distributed B. The normal probability plot does not indicate that the sample data could have come from a population that is normally distributedQ2. A telemarketing firm is monitoring the performance of its employees based on the number of sales per hour. One employee had the following sales for the last 20 hours (each entry in the table is the number of sales per hour) 5 4 2 6 7 8 5 4 6 4 4 5 4 5 4 7 8 What are the mean, median, mode, variance and standard deviation of the sales?
- A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 4.93 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 16 baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Sample standard Number of baby boys Sample mean deviation Take Sample 16 5.496 1.873 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for…A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 3-hour period. Here X is the number of people who used the machine. X 0 1 2 3 4 PX 0.2 0.2 0.1 0.4 0.1 Find the mean,variance and standard deviationWhen would you use a chi-square analysis A.When the variance between two groups are equal B. When the data are normally distributed C. When you only have categorical variables to analyze
- 3. Complete the first 3 columns of the table below. Values Deviations Square deviations X - X X (X-X)² Standard (z) scores X - X S Z= a. Compute the sample variance and sample standard deviation by definition. b. Fill in the last column of the table c. Compute the coefficient of variation.You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 24 night students and 28 day students and their GPA's are recorded below. Test the claim using a 1% 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 3.05 3.38 2.91 3.02 3.27 3.4 3.29 2.73 3.3 3.24 3.35 2.69 3.39 3.25 3.52 3.33 3.39 2.33 3.25 3.51 3.08 3.07 3.27 2.9 3.32 3.48 3 2.94 3.62 2.93 3.64 3.31 3.54 2.62 3.45 2.66 3.29 3.27 3.56 2.76 3.15 2.7 3.4 3.27 3.51 2.96 3.54 2.86 3.24 2.72 2.64 3.14 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: Select an answer x̅₂ s² x̅₁ σ² μ₂ μ₁ p ? = ≠ > < ≥ ≤ Select an answer 0 μ₂ x̅₂ x̅₁ σ² p s² μ₁ H1: Select an answer σ² x̅₂ x̅₁ μ₁ μ₂…The mean square error is the variance plus the bias. True O False