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- A primary measure of dispersion for sample data is the sample standard deviation, s. Choose the best option to explain what the meaning of the sample standard deviation is, in general. A. The distance between one observation and the mean. B. The average distance of an observation from the middle of the distribution. C. The average distance between observations in the sample. D. The distance between the third and first quartiles.1. In a sentence or two, explain what a sampling distribution is. 2. In a sentence or two explain how the standard error of the mean is similar to the standard deviation.I need help with this one please thank you!
- Consider the following sample: 1, 4, 7, 2, 6. How does the standard deviation change when the 7 is replaced with a 12? Answer intuitively first, and then check your answers numerically.O Macmillan Learning The domestic cat, Felis catus, is a domesticated furry creature often kept as a pet in many countries. Suppose a volunteer at a local animal shelter wanted to find out a little more about the cats in her care. The volunteer carefully measured the height for the 10 fully grown adult cats at her shelter. The height measurements were taken from the base of the foreleg to the shoulder. The table shows the results of the measurements. Calculate the mean, variance, and standard deviations for cat height for the sample of shelter cats. Report all your answers to two decimal points. mean: variance: standard deviation: in in² in Sample 1 2 3 4 5 6 7 8 9 10 Height (in) 10.5 13 7.7 7.5 9.55 10.5 10.85 12.3 8.15 7.85The height of women ages 20-29 is normally distributed, with a mean of 63.8 inches. Assume o = 2.8 inches. Are you more likely to randomly select 1 woman with a height less than 65.2 inches or are you more likely to select a sample of 23 women with a mean height less than 65.2 inches? Explain. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 65.2 inches? (Round to four decimal places as needed.)
- The height of women ages 20-29 is normally distributed, with a mean of 64.4 inches. Assume o = 2.4 inches. Are you more likely to randomly select 1 woman with a height less than 65.3 inches or are you more likely to select a sample of 26 women with a mean height less than 65.3 inches? Explain. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 65.3 inches? (Round to four decimal places as needed.) 4 What is the probability of selecting a sample of 26 women with a mean height less than 65.3 inches? (Round to four decimal places as needed.) ... Are you more likely to randomly select 1 woman with a height less than 65.3 inches or are you more likely to select a sample of 26 women with a mean height less than 65.3 inches? Choose the correct answer below. O A. It is more likely to select a sample of 26 women with a mean height less than 65.3…he numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the opulation data set. 2,7, 15, 4, 14, 6, 13, 8, 3, 10Consider the following data: −10, −10, 0, 3, −10, 3, 3 Step 1 of 3: Calculate the value of the sample Variance. Round your answer to one decimal place. Step 2 of 3: Calculate the value of the sample deviation. Round your answer to one decimal place. Step 3 of 3: Calculate the value of the range.
- Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. Use technology to find the range, variance, and standard deviation. If another value, 8.00, is added to those listed in the data set, do the measures of variation change much? 3.30 2.77 2.80 1.96 1.69 2.54 2.43 3.44 3.92 1.58 2.87 1.63 2.56 3.95 2.50 2.44 1.82 2.19 2.44 2.99 2.92 2.35 1.98 3.06 2.78 3.86 2.95 2.07 1.86 2.36 2.37 3.46 3.45 1.54 2.54 1.49 2.22 3.06 2.27 3.20 1.96 1.91 2.40 2.95 2.61 1.49 2.16 2.33 1.91 2.70 2.92 1.80 3.66 2.69 1.43 3.60 3.13 2.56 1.54 1.41 2.83 2.85 2.20 1.68 3.18 1.38 1.73 2.37 1.15 2.35 2.46 1.81 2.01 3.00 1.94 2.42 1.85 2.24 2.35 3.22 3.97 2.10 1.48 2.31 2.31 2.62 2.55 2.20 2.77 2.46 2.69 3.57 2.84 2.75 3.26 1.74 4.72 3.23 2.36 2.00 3.83 2.41 2.88 2.67 2.32 2.80 2.80 2.40 3.41 2.34 1.49 2.41 2.45 2.50 2.73 2.44 2.78 2.65 2.68 2.43 Without the extra data value, the range is 3.573.57. (Type an integer or…Please help me with this question.Find the mean, median, standard deviation, and variance of the sample data. Also, from the original data set, find the values of the range and sample size. Identify the modal class (the one with the highest frequency). The statistics should be rounded properly- to the nearest hundredth