A new type of outdoor paint was tested by painting six homes in the same geograp

Question

A new type of outdoor paint was tested by painting six homes in the same geographic area. The number of months the paint lasted before fading was recorded and yielded the values below. 10, 60, 50, 30, 40, 20 (a) Calculate the sample range. (b) Calculate the sample mean. (c) Calculate the sample variance using the definition formulas (i.e. by using the squared deviations). (d) Calculate the sample variance using the short-cut formula. (e) Calculate the sample standard deviation. (f) Give the units of measurement for (b): for (c): and for (e). Refer to Problem 4. (a) Add 10 to each data value in Problem 4. (i) Re-calculate the sample mean. (ii) How does the answer in (i) compare to that in 4(b)? Be specific. (iii) Re-calculate the sample variance. Note - using the definition formula might be more illuminating. (iv) How does the answer in (ii) compare to that in 4(c)? Be specific. (b) Divide each data value in Problem 4 by 10 (i.e. multiply each data value by 1/10). (i) Re-calculate the sample mean. (ii) How does the answer in (i) compare to that in 4(b)? Be specific. (iii) Re-calculate the sample variance. Note - using the definition formula might be more illuminating. (iv) How does the answer in (ii) compare to that in 4(c)? Be specific. Suppose that x_1, x_2, ..., x_ is a set of data with x bar = 40, x = 60, s^2_ = 25, and s_ = 5. Suppose that each x_ is transformed to a new data value y_ = 2x_ - 1. (a) Compare x bar to x. What do the values potentially tell us about the shape of the distribution? (b) Find each of the following. (i) bar (ii) y (iii) s^2_y (iv) s_y

Explanation / Answer

5)

suppose mean in Q4 is m ,and standard deviation is s

then

a) i) 45

ii) it will increase by 10

iii) 350

iv) sample variance remains same

b)

i) 3.5

ii) it will be vided by 10

iii) 3.5

iv) sample variance is divided by 1/10^2 = 1/100 times

Ask Q6 again

Please rate

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.