The introductory biology class at a large university is taught to hundreds of students each semester. For planning purposes, the instructor wants to find out the average amount of time that students would use to take the first quiz if they could have as long as necessary to take it. She takes a random sample of 100 students from this population and finds that their average time for taking the quiz is 20 minutes, and the standard deviation is 10 minutes.

a). Compute the standard error of the mean (SEM) for the average time to take this quiz in a minute.

b). the lower limit of 95% confidence interval for the average time to take this quiz is?

c). the upper limit of 95% confidence interval for the average time to take this quiz is?

1- Say 5 students forget to schedule meetings with their Math teacher for HW0, so they have to wait outside the office just in case their instructor finishes scheduled meetings early enough to squeeze them in. Say there is enough extra time for the instructor to meet 3 of these 5 students.

How many orders are there for how 3 of the waiting students can meet with their instructor?

2-Say that a referral code is 2 letters (A-Z, no lowercases) followed by 4 digits (0-9), or it is 2 digits (0-9) followed by four letters (A-Z, no lowercases). Digits are not allowed to repeat but letters can repeat. How many referral codes can you make?

Ho: 72.7% of high school students (grade 9-12) do not get enough sleep at night. (minimum 8 hours)

Ha: 72.7% of high school students (grade 9-12) do get enough sleep at night.

Sample size:

Sample mean:

Sample deviation:

Record the hypothesis test. Use 5% level of significance Include 95% confidence interval on solution sheet.

Create graph to illustrates results.

An investigator thinks that college students who pay for most of their own education study more than college students whose parents pay for most of their education. He gathers information on students regarding who is paying the greater portion of their college bills in order to put them into groups (parents pay (P) or student pays (S)) and also on the number of hours they report studying per week.

Choose the type of test you should use to test this hypothesis?

A) Z test
B) Single sample T test
C) Dependent T test
D) Independent T test
E) ANOVA
F) Pearson correlation T test

In a 2018 poll conducted by SurveyMonkey, they randomly surveyed 368 students

from two- and four-year institutions across the U.S. According to the survey, 58% purchased at

least one of their textbooks on Amazon. What proportion of all U.S. college students purchased

at least one of their textbooks on Amazon?

a. Use StatCrunch to find a 95% confidence interval: _________________

b. Interpret your confidence interval in words.

c. True or False: A 90% confidence interval would be wider than a 95% confidence interval.

d. If the true proportion of all U.S. college students who purchased at least one of their

textbooks on Amazon was 62%, does our confidence interval support or refute it?

a)A university planner wants to determine the proportion of spring semester students who will attend summer school. Suppose the university would like a 0.90 probability that the sample proportion is within 0.281 or less of the population proportion.What is the smallest sample size to meet the required precision? (There is no estimation for the sample proportion.)  (Enter an integer number.)

b)A university planner wants to determine the proportion of fall semester students who will attend summer school. She surveys 30 current students discovering that 20 will return for summer school.At 90% confidence, compute the margin of error for the estimation of this proportion.

c)For the t distribution with 14 degrees of freedom, calculate P(T < 2.624)!

Create a Java application that meets the following specifications. Write whatever public and private methods are necessary. Put all of these classes in a package called persistence1.

• Student has a String name, a double GPA, and a reasonable equals() method.
• Course has a String name, an ArrayList of Students, and a reasonable equals() method. It will also need a method to add a Student.
• StudentPersister uses binary file I/O to save and retrieve Students and Lists of Students. CoursePersister does the same for Courses and Lists of Courses. The save methods will need to deal with NotSerializableExceptions. Make sure that the read methods do not cause crashes if you attempt to read files that do not contain the anticipated objects.

The ages of a group of 135 randomly selected adult females have a standard deviation of 17.9 years. Assume that the ages of female statistics students have less variation than ages of females in the general​ population, so let sigmaequals17.9 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics​ students? Assume that we want 95​% confidence that the sample mean is within​ one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general​ population?

We have to randomly select 2 students for an award from a group of 5 equally deserving students. Of the five students two are female and three are male.Event C as selecting at least one female. Define event D as awarding only one male, what is the probability of event D? P(C U D) 8. P(C ∩ D) Are C and D disjoint?

Explain in detail using sample space if possible. And pls if you use symbols like this: a) D = {one male and one female} P(D) = 2C1 * 3C1 / 5C2 = 2 * 3 / 10 = 0.6 please explain what C is? what does 2C1 ,means?