Given a random sample of the amount of protein (in gram) in one bag of snack food: 0.95, 0.85, 0.92, 0.95, 0.93, 0.86, 1, 0.92, 0.85, 0.81, 0.78, 0.93, 0.93, 1.05, 0.93, 1.06, 1.06, 0.96, 0.81, 0.96. Assume the amount of protein in the snack is normal. Calculate a 98% two sided confidence interval for the average amount of protein in one bag. Interpret the result.

MDM Farms grows normally distributed potatoes and is testing a new crop. After 4 months, 20 plants produce potatoes with the following weights (in kg): 0.7, 1.4, 1.4, 1.3, 0.3, 1.4, 0.6, 1.3, 1.3, 1.1, 0.9, 1.5, 1.1, 1.5, 0.6, 1.4, 1.1, 0.5, 0.6, 0.8 a. Find the mean and standard deviation of the sample. b. What percent of potatoes grown from this crop will be over 2 kg?

Calculate the risk ratio for the following table and interpret the result: Disease No disease Exposed 28 129 Not exposed 4 133 A- B I В I II 173 !! 囲

7.88 Aluminum cans contaminated by fire. A gigantic NW warehouse located in Tampa, Florida, stores approxi- mately 60 million empty aluminum beer and soda cans. Recently, a fire occurred at the warehouse. The smoke from the fire contaminated many of the cans with black- spot, rendering them unusable. A University of South Florida statistician was hired by the insurance com- pany to estimate p, the true proportion of cans in the warehouse that were contaminated by the fire. How many aluminum cans should be randomly sampled to estimate the true proportion to within .02 with 90% confidence?

What percentage of hospitals provide at least some charity care? Based on a random sample of hospital reports from eastern states, the following information is obtained (units in percentage of hospitals providing at least some charity care):

Researchers have been studying acorns produced by trees in a certain region. The acorns are used as a food source by various animals. The researchers have recorded the mass of a random sample of acorns (displayed below). Acorn mass (grams): 4.1, 4.22, 3.9, 3.79, 4.09, 4.1, 4.03, 4.02, 3.78, 3.74, 3.72 Checksum: 43.49 Resample the sample (bootstrap) (link to program) with 1000 iterations to create a 90% confidence interval for the mean mass of all acorns: Result: The researchers can be 90% confident that the mean mass of all acorns in this region is between and grams.

Please help me in answering the following practice question:Given a random sample of the amount of protein (in gram) in one bag of snack food: 0.95, 0.85, 0.92, 0.95, 0.93, 0.86, 1, 0.92, 0.85, 0.81, 0.78, 0.93, 0.93, 1.05, 0.93, 1.06, 1.06, 0.96, 0.81, 0.96 Here, it is assumed that the amount of protein in the snack is normal. How would I calculate a 98% two-sided confidence interval for the average amount of protein in one bag?Thank you for your help in advance!

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You decide that you want to make sure your estimate from part a is correct. You go out and gather 10 simple random samples of 25 people in your school and calculate the proportion of students within each sample whose Amazon packages arrive within two business days of ordering.  The proportion of customers that receive their packages within two days of ordering are given below.  0.70, 0.75, 0.6, 0.95, 0.90, 0.73, 0.87, 0.86, 0.92, 0.97 Explain why all of the sample proportions are not the same.

A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen, resulting in the accompanying data. 1.16 5.09 0.97 1.59 4.60 0.32 0.55 1.45 0.16 4.47 1.20 3.50 5.02 4.67 5.22 2.69 3.97 3.17 3.03 2.21 0.69 4.47 3.31 1.17 0.77 1.17 1.57 2.62 1.66 2.05 The values of the sample mean, sample standard deviation, and (estimated) standard error of the mean are 2.484, 1.612, and 0.294, respectively. Does this data suggest that the true average percentage of organic matter in such soil is something other than 3%? Carry out a test of the appropriate hypotheses at significance level 0.10. [Note: A normal probability plot of the data shows an acceptable pattern in light of the reasonably large sample size.] State the appropriate hypotheses. ⒸH₁: μ = 3 H₂:μ # 3 OH:μ #3 Ha: μ 3 t = P-value = Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal…