Consider throwing a die 20 times. Let X be the number of times th outcome is less than 3. Find the mean X and the variance o. (a) 2.22 and 0.33 (b) 4.44 and 6.67 (c) 0.33 and 2.22 (d) 6.67 and 4.44
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- The mean is equal to of cellular phones of sold per day is therefore, it means that the average number To find the variance complete the table below: P(x) x2 - P(x) .2 X•P(x) 15 0.30 4.5 18 0.20 3.6 19 0.20 3.8 20 0.15 22 0.15 3.3 ix2 . P(x) = g? = ) [x² · P(x)] - u² = %3D %3D %3D while herefore, the variance of a probability distribution is equal to ne standard deviation is equal to such a igher ngWe are interested in determining whether or not the variances of the sales at two small grocery stores are equal. A sample of 10 days of sales at Store A and a sample of 12 days of sales at Store B indicated the following. Use a=0.1. Store A n₁ = 10 Store B n₂ = 12 $1 = 60 $2=40 (A) The test statistic is F = 1.50 (B) The test statistic is F= 2.25 (C) The rejection region is F≥2.8962 (D) The rejection region is F≥3.1025I need help with this question.
- Create a column of numbers going from 0 to 30. in binomial distrubution with n=30 and p=0.5. Remember that the variance is the expected value of the squared deviations from the mean. In the next column, compute the product of the probability of each outcome and the squared deviation from the mean. Place the sum of the 31 values in the cell next to the cell in which you have computed the variance as a function of the parameters.J 1Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, µ, spent by customers at the supermarkets has been reported to be 38 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is less than 38 minutes . To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 34 minutes and the standard deviation of the times to be 10 minutes. Based on this information, answer the questions below. Aa What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? Н.: и is (? H: u is (? In the context of this test, what is a Type II error? A Type II error is (? the hypothesis that u is (? when, in fact, u is (? Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be…
- The service times for customers coming through a checkout counter in a retail store are independent random variables with mean 1.5 minutes and variance 1.0. Find the the value Yo, such that Pr(1.5 – Yo <Ý < 1.5 + yo) = 0.95, where Y is the average service time of 100 randomly selected customers. 0.196 0.165 1.65 0.28 1.96Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, u, spent by customers at the supermarkets has been reported to be 35 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 35 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 42 minutes and the standard deviation of the times to be 10 minutes. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type I error? A Type I error is ? fact, u is ? ? v when, in v the hypothesis that u is? v? v. Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be…Q2. Calculate Standard Deviation, Variance and Co-efficient of variation Weight (Kg) No. of Residents 10-20 100 20-30 85 30-40 125 40-50 20 50-60 30 60-70 5 70-80
- Assume the sample variances to be continuous measurements. Find the probability that a random sample of 31 observations, from a normal population with variance of 6, will have a sample variance between 3.33 and 9,99 Select one: Oa. 0.975 Ob. 0.011 Oc 0.985 Od. 0.965Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, µ, spent by customers at the supermarkets has been reported to be 40 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 40 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 44 minutes and the standard deviation of the times to be 15 minutes. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? Hiµ is ? H: p is ? In the context of this test, what is a Type II error? A Type II error is ? fact, u is ? the hypothesis that u is when, in Suppose that the consultant decides not to reject the null hypothesis. What sort of error might she be making?In order to use the defining formula for variance, we must calculate (x − x)2 for each data value in the data set 14, 18, 22, 26, 33. Use the values in the data set and the mean x = 22.6 to fill out the following table. x 14 18 22 26 33 x 22.6 22.6 22.6 22.6 22.6 x − x 14 − 22.6 = −8.6 18 − 22.6 = __________ 22 − 22.6 = −0.6 26 − 22.6 = _________ 33 − 22.6 = 10.4 (x − x)2 73.96 __________ 0.36 ________ 108.16
