Let X1, X2, .., Xn be a random sample from a Bernoulli distribution: p(x; 0) = 0*(1 – 0)1-*. We wish to test 0 = a/20 versus 0 + a/20. Moreover, a is the sum of the first 3 values in your dataset. Furthermore, the sample mean X is equal to the average of the first 5 values in your dataset divided by 10. Derive MLE estimor and: a) Perform Likelihood Ratio test at 5%; b) Perform Wald test at 5%;

We asked 32 Learners in Mr. Magana’s Class if they have Facebook. 11 males and 7 females answered yes. 8 females answered no. Build a two-way table that shows this data. Fill in any empty spaces

A researcher is interested in the affects that a person’s avatar (i.e. visual representation of oneself) has on the number of profile views on Facebook.com.  The average number of individual personal profile views is known to be 230 views per day (excluding bands, artists, etc.).  The researcher creates 36 fictitious profiles that contain roughly the same information but the picture (avatar) is an animated .gif of a smiling face (36 faces randomly selected from a compilation of faces judged to be of average attractiveness).  The results showed that of the 36 profiles the average number of views was 250 with a standard deviation of 60.  Test the hypothesis that the average number of views for a smiling face gif is significantly different than the usual number of personal profile views.

The scores of a test for an engineering class of 30 students are shown here. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Scores: 81, 54, 55, 56, 96, 86, 98, 61, 90, 52, 92, 76, 66, 84, 79, 70, 71, 88, 62, 74, 53, 65, 55, 78, 79, 58, 60, 72, 51,80 (a) Determine the frequency (f), midpoint (x), and xf for each range and fill in the table below. (First, organize the scores into the following ranges: 50-59, 60-69, 70-79, 80-89, and 90-99.) (b) Using the following equation, determine the mean value (x) and fill in the table below. Σ(XA) n X = (c) Calculate (x − x) for each range and fill in the table below. (d) Calculate (x - x)²f for each range and fill in the table below. Range Frequency f Midpoint x 50-59 60-69 70-79 80-89 90-99 S = Enter a number. S = (e) Using the following equation, compute the standard deviation of the class scores. Σ(x-x) ²f n - 1 Σ(x-x) ²4 n - 1 = xf 29 X X - X (x - x)²f

There are 10 males and 18 females in the Data Management class. How many different committees of 5 students can be formed if there must be at least 2 males?

https://mediaplayer.pearsoncmg.com/assets/APS10_sl_1202?clip=8 Video it links.

You are given the following set of observations:  41, 29, 38, 19, 22, 34, 50, 42, 40, 44.  What is the value of the IQR?

The data below lists states poverty rate, gun deaths per 100,000 people, high school graduation rate and the unemployment rate. Use a 2x2 contingency table for questions 1-3. Use the median to divide each list into 2 groups. 1) Test for independence between poverty rate and gun deaths. 2) Test for independence between high school graduation rate and gun deaths. 3) Test for independence between unemployment and gun deaths. 4) Divide the data into 3 groups by gun deaths: 0-9, 9.1-12 and 12.1-20. Use ANOVA to test the claim that the average poverty rate is the same for the three groups. Be sure to write down the mean and standard deviation for each group. 0-9 9.1-12 12.1-20 n = x = s = n = x = s = n = x = s =

We are interested in estimating the proportion of people that can identify Nebraska but not Vermont. In a class of 55 students, each student was requested to select a sample of 6 people, show each person a map of the US and ask the person to identify the states of Vermont and Nebraska. The following numbers are the counts that each student got, that is, each number is the count of people in the student sample of 6, that could identify Nebraska but not Vermont.3344010110020030002020001100002010000001000200000001010Note: You can cut and past these numbers into an excel spreadsheet to help you calculate the mean and the standard deviation and compute the confidence interval. If you have trouble pasting them, paste them to a text file first and then copy from there.When we collect all the students' data, we have a sample size of 6x55=330.Of the sample of 330 people, what proportion were able to locate Nebraska but not Vermont? (round answer to 3 decimals) Find a 95% confidence interval for…

People living in a certain area have observed 102 rainy days in the year 2018, 96 rainy days in 2019, 111 rainy days in 2020. Use the best fit line to predict, how many rainy days they will see in 2021.