& Take a Test-Bukola Abdulwahab Omotose- Macilla Firefx https/ udent/PlayerTest.

Question

& Take a Test-Bukola Abdulwahab Omotose- Macilla Firefx https/ udent/PlayerTest.aspx?testld 1781652428cent 006 Elementary Statistic Bukola Abdutwahab Omotose &1 3/26/18 7:59 Quiz: Quiz 6 This Question: 1 pt 7o 10 (4 complete) This Quiz: 10 pts pos Assume that females have pulse rates that are normally distributed with a mean of pm750 beats per minute and a standard deviation of e Complete parts (aj through (c) below 12 5 beats per minute ?.lf 1 adult female s randomly selected, fndthe probabity that her pulse rate is between169 beats per minute and 81 beats per minute The probablity is Round to four decimal places as needed ) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean between 69 beats per mainute and 81 beats per minute The probablity is? Round to four decimal places as needed) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? ? A. Since the distribution is of rebidals, not sample means, the dstition is ano esti bden hi iy tri-pa ? B. Since the enginal population has a normal distnbtion, the dstribution of sample means is a normal dsthton fr any sample sce ° C. Since the dstribution is of sample means, not nehedals the dstbubon is a normal distribution for any sample see O D. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size Cick to select your answerts) you start to 7 8 9 0 5 6

Explanation / Answer

Solution:

Mean is 75 and s is 12.5. z is given as (x-mean)/s

a) P(69< x <81) = P((69-75)/12.5< z < (81-75)/12.5)=P(-0.48<z<0.48), from normal distribution table we get 0.3688

b) P(69< x <81) = P((69-75)/(12.5/sqrt(4))< z < (81-75)/(12.5/sqrt(4))) =P(-0.96<z< 0.96), from normal distribution table we get 0.663

c) B. Since the original population has a normal? distribution, the distribution of sample means is a normal distribution for any sample size.

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

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