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Hi can someone explain to me why it ended up being the answer on the questions stated below the subject is Statistics and Probability Activity

Hi can someone explain to me why it ended up being the answer on the questions stated below the subject is Statistics and Probability

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Activity 5.1 1. The following data represents the height (in cm) of the six private school teachers in Naga City: 160, 150, 165, 180, 175, and 172. a. Complete the table below. b. How many samples of size 5 are possible? C. List all possible samples of size 5, and calculate the mean of each sample. d. Calculate the mean of the sample means and the population mean. e. Calculate the dispersion in the population (o, o?) and with that of the sample means (of and of). Observation Sample X - Hug (x - 1=)2 2. The weight of spaghetti from a Pasta House is a random variable whose distribution is normal with a mean of 200 rams per serving and standard deviation of 15 grams. If a customer intends to purchase 5 servings of spaghetti. What is the probability that the servings of spaghetti will not exceed 210 grams?Answer to Activity 5.1 1. b. There are 6 possible samples of size 5. c -d. (refer to sample below - verify the 3d column by identifying the sample points) Observation Sample X- HE 166.0 -1 1 165.4 -1.6 2.56 3 164.4 -2.6 6.76 167.4 0.4 0.16 170.4 3.4 11.56 168.4 1.4 1.96 e. Measures of dispersion For population values For sampling distribution Variance 100 Standard Deviation 10 N 2. The probability that the servings of spaghetti will not exceed 210 grams is 93.19%

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