The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of 0.29 . Find the probability that the mean GPA of a random sample of 20 students selected from this university is 2.87 or lower. Round your answer to four decimal places. P ( x ¯ ≤ 2.87 ) =

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Students of a large university spend an average of $5 a day on lunch. The standard deviation of the expenditure is $3. A simple random sample of 36 students is taken.

What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean?

What is the probability that the sample mean will be at least $4?

What is the probability that the sample mean will be at least $5.90?

You are teaching sixth grade​ students, and you are preparing a lesson about reading informational text. Personalize the guidelines for helping students understand and remember. Tell what you will do beginning with your plan for gaining their attention. Continue with your plan for maintaining their​ attention, helping them connect new and previously​ learning, and focus on meaning

at a large University the graduation rate for the general student body was reported to be 0.66 we want to compare the center spread and shape of the distribution of sample proportion graduating from random samples of five students compared to the distribution and random samples of 50 students what is the center of the distribution for samples of size 5 round the answer to two decimal places

Pre-nursing students: How can good administration systems support quality patient care? Provide examples to support your response.

Healthcare administration students: How can quality clinical information systems support administrative functions? Provide examples to support your response.

please add any cite and wedsite thanks

In a study of government financial aid for college students, they need to estimate the percentage of students who graduate in four years. Find the sample size needed to estimate the percentage. Use a 4% margin of error, and 90% confidence level.

1. A previous study showed that 60% graduate in four years.

2. We don't know the percentages at all

This assignment should challenge the students to research and identify a real-world problem as well as come up with a concept for a potential solution. The identified problem should be corroborated with at least 3 reputable sources. The proposed solution does not need to be fully formulated but the students should reasonably demonstrate that the feasibility of completing a prototype during the timeframe of the course with available resources.

Confidence Intervals and Minimum Sample Sizes

     Use your set of z-scores to find the following:

1. A survey of 145 randomly selected college students showed that only 87 checked their campus email on a regular basis. Construct a 90% confidence interval for the percentage of students at that college who do check their email account on a regular basis.

A random sample of 500 students were selected and it was found that 345 of them were satisfied with their field. Construct a 95% confidence interval for the true proportion of students who are satisfied with their field. (i)Identify n, p̂, q̂, and ??/2. ? = p̂ = q̂ = ??/2 =

(ii)Calculate the margin of error, E.

(iii)Construct the 95% confidence interval

At a university approximately 12% of freshman do not return as sophomores. In a freshman class of 2500 students, determine the probability that 290 to 320 (inclusive) students do not return. Give your answer in 3 decimal places. (b) For a chi-squared distribution, find k when sample size is 30. P(k < X2 < 45.72) = 0.925