The mean weight of 500 students at a certain college is 151 lb and the standard...

The mean weight of 500 students at a certain college is 151 lb and the standard deviation is 15 lb. Assume that the weights are normally distributed.
a.) How many students weigh between 120 and 155 lb? (ANSWER IN WHOLE NUMBER)

b.) What is the probability that randomly selected male students to weigh less than 128 lb? (ANSWER IN 4 DECIMAL NUMBER)

Solutions

Expert Solution

P(z<Z) table :

P(120 lb<=weight<=155 lb) = 0.5858

no. of students that weigh betweeen 120 and 155 lb = (total no. of students) * P(120 lb<=weight<=155 lb)

= 500*0.5858

= 292.9

= 293 (nearest whole number)

P(1weight<=128 lb) = 0.0626

(please UPVOTE)

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The mean weight of students from a certain university is 70 kg with a standard deviation...

The mean weight of students from a certain university is 70 kg with a standard deviation of 17 kg. i. ii. iii. Assume that the weights of students in the university are normally distributed. What is the probability that the weight of a randomly chosen student is greater than 100 kg? What is the probability that the weight of a randomly chosen student is between 60 kg and 80 kg? If you were to take a sample of 16 students,...

Weight of women students at a college is believed to be normally distributed with a standard...

Weight of women students at a college is believed to be normally distributed with a standard deviation of 15 ponds. To verify the claim a random sample of 36 weights from among the women students are collected and the mean was found to be 120 pounds. Find a 99% confidence interval for the true mean weight of women students at this college.

The weight of male students at a certain university is normally distributed with a mean of...

The weight of male students at a certain university is normally distributed with a mean of 175 pounds with a standard deviation of 7.6 pounds. Find the probabilities. 1. A male student weighs at most 186 pounds. 2. A male students weighs at least 160 pounds. 3. A male student weighs between 165 and 180 pounds. Please show work. Ideally excel commands would be helpful, but anything would be great!

1. The mean age of College students is 25. A certain class of 33 students has...

1. The mean age of College students is 25. A certain class of 33 students has a mean age of 22.64 years. Assuming a population standard deviation of 2.87 years, at the 5% significance level, do the data provide sufficient evidence to conclude that the mean age of students in this class is less than the College mean? a. Set up the hypotheses for the one-mean ?-test. ?0: ??: b. Compute the test statistic. Round to two decimal places. c....

The mean balance that college students owe on their credit card is $1996 with a standard...

The mean balance that college students owe on their credit card is $1996 with a standard deviation of $350. If all possible random samples of size 169 are taken from this population, determine the following: a) name of sampling distribution b) mean and standard error of sampling distribution of the mean (use the correct name and symbol for each) c) percent of sample means for a sample of 169 college students that is greater than $2000 d) probability that sample...

It is suggested that the true average weight of college football players is 200 lb. In...

It is suggested that the true average weight of college football players is 200 lb. In a sample of 30 players, the sample average is 206.73 lb. The sample standard deviation is 6.35 lb. Does the true average weight differ from what was suggested? Test the appropriate hypotheses about the true average weight of college football players. Use α=0.05.

The mean GPA of all college students is 2.95 with a standard deviation of 1.25. What...

The mean GPA of all college students is 2.95 with a standard deviation of 1.25. What is the probability that a single MUW student has a GPA greater than 3.0? (Round to four decimal places) What is the probability that 50 MUW students have a mean GPA greater than 3.0? (Round to four decial palces)

Students at a certain school were surveyed, and it was estimated that 19% of college students...

Students at a certain school were surveyed, and it was estimated that 19% of college students abstain from drinking alcohol. To estimate this proportion in your school, how large a random sample would you need to estimate it to within 0.08 with probability 0.99, if before conducting the study (a) you are unwilling to predict the proportion value at your school and (b) you use the results from the surveyed school as a guideline. a. n= b. n=

College entrance examination scores (X) have an approximately normal distribution with mean 500 and standard deviation...

College entrance examination scores (X) have an approximately normal distribution with mean 500 and standard deviation 100. (b) If 4 scores are selected at random, what is the distribution of their average? Include the name of the distribution and the values of any parameters. Show work if possible. (c) If 4 scores are selected at random, what is the probability that their average is 510 or greater? (d) If 25 scores are selected at random, what is the probability that...

in a certain college, 25% of the students failed mathematics,15% of the students failed chemistry and...

in a certain college, 25% of the students failed mathematics,15% of the students failed chemistry and 10% of the students failed both mathematics and chemistry. A student is selected at random, I)if he failed the exam, what is the probability that he failed mathematics? ii) if he failed mathematics, what is the probability that he failed chemistry? iii) what is the probability that he failed mathematics or chemistry?

Subjects