Refer to Exercise 6.98. In that exercise, suppose the mean is set to be 8 ounces, but the standard deviation is unknown. The cups used in the machine can hold up to 8.2 ounces, but these cups will overflow if more than 8.2 ounces is dispensed by the machine. What is the smallest possible standard deviation that will result in overflows occurring 3% of the time?
Answer to relevant QuestionsFor the standard normal distribution, find the area within 1.5 standard deviations of the mean—that is, the area between μ – 1.5σ and μ + 1.5σ Find the area under the standard normal curve a. From z = 0 to z = 2.34 b. Between z = 0 and z = –2.58 c. From z = .84 to z = 1.95 d. Between z = –.57 and z = –2.49 e. Between z = 2.15 and z = 1.87 Find the following probabilities for the standard normal distribution. a. P(z < –2.34) b. P(.67 < z < 2.59) c. P(–2.07 < z < –.93) d. P(z < 1.78) Find the following areas under a normal distribution curve with µ = 12 and µ = 2. a. Area between x = 7.76 and x = 12 b. Area between x = 14.48 and x = 16.54 c. Area from x = 8.22 to x = 10.06 According to the National Retail Federation’s recent Back to College Consumer Intentions and Actions survey, families of college students spend an average of $616.13 on new apparel, furniture for dorms or apartments, ...
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