A class survey in a large class for first-year collegestudents asked,\"About how

Question

A class survey in a large class for first-year collegestudents asked,"About how many minutes do you study on a typicalweeknight?" The mean response of the 269 students was line X = 137minutes. Suppose that we know that the study time followsa Normal distribution with standard deviation = 65minutes in the population of all first-year students at thisuniversity. (a.) Use the survey result to give a 99% confidence intervalfor the men study time of all first-year students. (b.) What condition not yet mentioned must be met for yourconfidence nterval to be valid? A class survey in a large class for first-year collegestudents asked,"About how many minutes do you study on a typicalweeknight?" The mean response of the 269 students was line X = 137minutes. Suppose that we know that the study time followsa Normal distribution with standard deviation = 65minutes in the population of all first-year students at thisuniversity. (a.) Use the survey result to give a 99% confidence intervalfor the men study time of all first-year students. (b.) What condition not yet mentioned must be met for yourconfidence nterval to be valid?

Explanation / Answer

Sample size, n = 269
mean, X = 137 minutes standard deviation, = 65 minutes standard error, e = /n = 65/269 =3.96 a) at 99% confidence, i.e =0.01 and for a two taildistribution, z = 2.58 confidence interval for the men study time of all first-yearstudents = X ± (z * e ) = 137 ± (2.58 * 3.96) = 137 ± 10.2168 = ( 126.7832,147.2168) (b.) the condition not yet mentioned which must bemet for your confidence nterval to be valid is whether the sample is representative, since it covers just oneclass
(b.) the condition not yet mentioned which must bemet for your confidence nterval to be valid is whether the sample is representative, since it covers just oneclass
(b.) the condition not yet mentioned which must bemet for your confidence nterval to be valid is whether the sample is representative, since it covers just oneclass

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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