Come up with two data sets A and B with same number of data points,where data set A has the larger standard deviation but the smallerrange.

Database A contains 40 data items and is made up with an equal number of the values of 0 and 100 and has a mean of 50. Database B also has 40 entries made up equally of the values 49 and51 and also has a mean of 50. Which database will have the smaller value for its standard deviation?

You will be comparing two sets of data for this assignment. 1. Determine the average number of toilet paper rolls* for Fall 2022 biochemistry and genetics students (individually) and calculate the standard deviation of each using the equation. Please be sure to show your work. I know that you can easily use tools like Microsoft Excel to calculate standard deviation, but I would like to see you complete the work by hand so that you get a sense of the role of each component of the equation. Ignore students that did not provide answers (don't use those students in the mean or N value calculations). 2. Please answer the following questions when you submit your data. Which group had a higher mean number of rolls of toilet paper? Which value had the most variability? Referring to the equation, how could you decrease the amount of variability in the mean? Did you find the variation surprising or unexpected?  The two sets of data and the standard deviation formula pictures are attached…

Two students, Donald and Martin, want to find out who has the higher GPA when compared to each of their schools. Donald has a GPA of 3.85, and his school has a mean GPA of 3.25 and a standard deviation of 0.4. Martin has a GPA of 3.75, and his school has a mean of 3.1 and a standard deviation of 0.5. Who has the higher GPA when compared to each of their schools?

Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is about to take Exam B that has a mean of 550 and a standard deviation of 25. How well must Mason score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.

Two friends, Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 32 shifts that she had a mean of 4.8 calls per shift. She knows that the population standard deviation for her shift is 1.4 calls. Jodi calculates from a random sample of 40 shifts that her mean was 4.2 calls per shift. She knows that the population standard deviation for her shift is 1.1 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.01 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2.   Step 2 of 3 :   Compute the value of the test statistic. Round your answer to two decimal places.

For her test grades, Gena has a mean = 65 and standard deviation = 25. Patti has a mean = 65 and standard deviation = 5.   For which of the students can you more accurately predict the next test score, and why? Consider the variability of scores.   Who is more likely to do either extremely well or extremely poorly on the next exam, and why?   Explain the reason for adjusting the formula of the standard deviation/variance with n - 1 in the denominator?

3. At Frucht Orchards, apple trees produce an average of 830 pounds of fruit per tree with a standard deviation of 110 pounds. Their mango trees produce an average of 340 pounds of fruit per tree with a standard deviation of 180 pounds. Frucht Orchards is trying two new fertilizers. An apple tree fed Amazing Apples Fertilizer yielded 930 pounds of fruit, while a mango tree fed Amazing Mangos Fertilizer yielded 390 pounds of fruit. Which new fertilizer appears to be more "amazing" (has the higher percentile)? Sketch each scenario on the bell curves below. https://onlinestatbook.com/2/calculators/normaldist.html

Jeremiah earned a score of 530 on Exam A that had a mean of 450 and a standard deviation of 40. He is about to take Exam B that has a mean of 63 and a standard deviation of 20. How well must Jeremiah score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.

Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but you suspect that the variability in concentration may differ for the two companies. The standard deviation of concentration in a random sample of n₁ = 10 batches produced by company 1 is s₁ = 4.7 grams per liter, and for company 2, a random sample of n₂ = 16 batches yield s₂ = 5.8 grams per liter. Is there sufficient evidence to conclude that the two populations variances differ? Use a = 0.05. a. Because 0.321 < 0.657 <3.77, fail to reject the null hypothesis b. Because 0.265 < 0.657 <3.12, fail to reject the null hypothesis c. Because 0.386 < 0.657 <3.01, fail to reject the null hypothesis d. None among the choices