2018 Spring MATH1530-030-Polk-Conley Homework: Section 8.1 Homework Score: 2 of

Question

2018 Spring MATH1530-030-Polk-Conley Homework: Section 8.1 Homework Score: 2 of 10 pts Kaysha Acams &I; 3/26/18 10-25 PM 5017 16 complene) HW Score: 26%, 19.5 of 75 pts 8.1.21-T Assigned Media Question Heip The reading speed of second grade shudents in a large city is approximately nomal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm Complete parts (a) through ( a)What is the probability a randomly selected student in the oity will read more than 96 words per minute? The probability is 0 3448 Round to four decimai places as needed.) nterpret this probablity. Seledt the corredt choice below and fi8 in the answer box within your choice ?A. 100ereert students were chosen tomthis population, we wold expect .tomad tady96w rds per "num. B 100 dfferent students were chosem from this population, we would expect to read less than 96 wonds per minute (b) What is the probability that a nandom sample of 13 second grade students from the oity resuts in a mean oading rate of more than 96 words per minue? The probability is Round to four decimal places as needed) Enber your answer in the answer box and then click Chack Answer

Explanation / Answer

A)mu=92 sigma=10

Z=(x-mu)/sigma

Z=(96-92)/10

Z=0.4

P(z>0.4)

=0.3446

B)

P(xbar>96) = P((xbar-mean)/(s/vn) >(96-92)/(10/sqrt(13)))

=P(Z>1.45) =0.0735

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