Construct a confidence interval of the population proportion at the given level of confidence. x equals 175 comma n equals 250 comma 90 % confidence

The lower bound is _____.

The upper bound is _____. ​(Round to three decimal places as​ needed.)

Measurements of length (cm) were taken for a sample of fish. The gender (male or female) of each fish was also recorded.

The most appropriate technique to explore whether there is a difference in the mean weights of fish between males and females would be:

Select one:

a. 1 sample z-test

b. testing for two proportions

c. 2 sample t-test.

d. 1 sample t-test

Consider the following claim: “ The majority of U.S. residents are right-handed” Which one of these is correct?

Question:-6 people were randomly selected and their systolic (x) and diastolic (y) blood pressures were measured. Systolic 138 130 135 140 120 125 Diastolic 92 91 100 100 80 90 Σx = 788, Σy = 553, Σx 2 = 103794, Σy 2 = 51245, Σxy = 72876 (Data)

(A)If systolic blood pressure increases by one unit, then:-

(a) diastolic blood pressure decreases by about 15.5 units

b) diastolic blood pressure decreases by about 0.82 units.

(c) diastolic blood pressure increases by about 15.5 units

(d) diastolic blood pressure increases by about 0.82 units

(e) the response of the diastolic blood pressure cannot be predicted (Explain in detail how..??)

(1 point) a) For 30 randomly selected Rolling Stones concerts, the mean gross earnings is 2.46 million dollars. Assuming a population standard deviation gross earnings of 0.52 million dollars, obtain a 99% confidence interval for the mean gross earnings of all Rolling Stones concerts (in millions).
Confidence interval: ( , ).

b) Which of the following is the correct interpretation for your answer in part (a)?
A. There is a 99% chance that the mean gross earnings of all Rolling Stones concerts lies in the interval
B. We can be 99% confident that the mean gross earnings of all Rolling Stones concerts lies in the interval
C. We can be 99% confident that the mean gross earnings for this sample of 30 Rolling Stones concerts lies in the interval
D. None of the above

A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows:

Salary   Education
40   4
73   1
99   7
57   1
83   8
76   4
109   6
49   0
31   4
32   4
91   2
40   4
65   6
71   2
166   5
61   0
88   1
59   4
132   9
25   0

a. Find the sample regression equation for the model: Salary = β₀ + β₁Education + ε. (Round answers to 2 decimal places.)

Salaryˆ=

+ Education

b. Interpret the coefficient for Education.

• As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $8,590.

• As Education increases by 1 unit, an individual’s annual salary is predicted to decrease by $8,590.

• As Education increases by 1 unit, an individual’s annual salary is predicted to decrease by $6,220.

• As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $6,220.

c. What is the predicted salary for an individual who completed 5 years of higher education? (Round coefficient estimates to at least 4 decimal places and final answer to the nearest whole number.)

Salaryˆ               $

Instructions This assignment is to be typed up in the supplied R-Script. You need to show all of your work in R in the given script. Be sure and use # in front of any text that you type in. You are allowed to work with your peer group, but please site your sources! If you get help from anyone, you need to mention that in your write up. This assignment is worth 60 points (10 per problem) and you can use it to replace the online Midterm Quiz. That is, if you chose to, you can count it twice. 1. Data type and plots. We collected in the MTTH class a set of paired data on age and gender. The data set is given in the supplied R-Script and is repeated here: age = c(25, 20, 21, 21, 18, 18, 18, 18, 18, 18, 21, 21, 18, 18, 19 ,17 ,18, 18, 20, 18, 19, 17, 22, 19, 18, 18, 20, 17, 18, 18, 25) gend = c(”f”, ”m”, ”m”, ”m”, ”m”, ”f”, ”m”, ”f”, ”f”, ”m”, ”m”, ”f”, ”f”, ”f”, ”m”, ”m”, ”f”, ”m”, ”f”, ”f”, ”f”, ”m”, ”m”, ”m”, ”f”, ”m”, ”f”, ”f”, ”f”, ”m”, ”f”) (USING RSTUDIO)

(a) What type of variable is ”age”?

(b) What type of variable is ”gend”?

(c) What are the mean, median, standard deviation, and IQR for the ”age” data?

(d) Give a boxplot and histogram for the ”age” data. What is the shape of the distribution?

(e) Give a barplot for the ”gend” variable. Does is make sense to ask what the shape of this plot is? Why?

(f) Give a 98% confidence interval for the population proportion of females enrolled in Math 15 at College of the Redwoods.

A baseball fan wanted to know if there is a difference between the number of games played in a World Series when the American League won the series versus when the national league won the series. From 1922 to 2012 the population standard deviation of games won by the American League was 1.14, and the population standard deviation of games won by the National League was 1.11 of 19 randomly selected World Series of games won by the American League, the mean number of games won was 5.76. the mean number of 17 randomly selected games won by the national League was 5.42.

a) State and label the two population or samples.

b) What is function that you used on the calculator(TI-84) and what are the inputs?

c) Use the Five Method to do the Hypothesis Test.

In a large survey, third graders were asked what their favorite color is. The results are in the table below.

Suppose that 10 randomly selected students are chose. What is the probability that 3 students say blue is their favorite color?

The distribution of actual weights of 80 ounces wedges of cheddar Cheese produced at a dairy is Normal with mean 8.1 ounce and standard deviation is 0.1 ounce. If there is only a 5% chance that the average weight of the sample of five of the cheese wedges will be below ___________ ( get the sample mean value to 2 decimals)

z score:    Answer format: #.##

Average Weight:    Answer format: #.##

The serum cholesterol levels in men aged 18 – 24 are normally distributed with a mean of 178.1 and a standard deviation of 40.7. Units are in mg/100mL. Use R. Paste your commands and output into the answer box.

a) If a man aged 18 – 24 is randomly selected, find the probability that his serum cholesterol level is between 170 and 200.

b) If a sample of 10 men aged 18 – 24 is randomly selected, find the probability that their mean serum cholesterol level is between 180 and 190.

Direct mail advertisers send solicitations​ ("junk mail") to thousands of potential customers in the hope that some will buy the​ company's product. The response rate is usually quite low. Suppose a company wants to test the response to a new flyer and sends it to 1110 people randomly selected from their mailing list of over​ 200,000 people. They get orders from 108 of the recipients.

​Create a 90% confidence interval for the percentage of people the company contacts who may buy something.

( __ % __ % )

​(Round to one decimal place as​ needed.)

Answer the following application exercise on organization and visualization of data.
1. You can use Excel.
2. If you use the calculator and perform the exercise manually, obtain a photo of the process performed using the clipping and search of your result in Word.
3. Remember to include presentation sheet in APA format.
A sample of 30 employees who work investigating cases of possible money laundering, answers a survey about the average time in days we take them analyzes, present findings and recommendations. Next, your answers are detailed
25 22 20 16 13 16 32 26 13 24 15 15 14 14 54 11 24 24 24 19 17 10 16 48 11 13 20 13 12 24
Summary of this data:
1. Building a frequency distribution table.
2. Building graphical representations: histogram, frequency polygon and warhead.
3. Calculating the measures of central tendency: mean, mode and median.
4. Make a comment on what the data related to the average time of days to solve each case indicate.

1. You’re a beer brewer and you’re interested in whether there is a relationship between the weight of grains used to brew the beer, and the percent alcohol of the beer. You record your data below of your homebrew. (3 points)

1. What kind of statistical test will you be performing?

2. Will you need to test for equal variance? If so, what are your results and how does that influence the next steps in your analysis?

3. What are your null and alternative hypotheses?

H₀:

H_A:

4. Discuss the results of your analysis. Will you accept or reject your null hypothesis? Why? What can you specifically say about the data?

Given a normal distribution with μ equals=102 and σ equals= 25​, and given you select a sample of n equals 25

d) There is a 69​% chance that Upper X is above what​ value?

(Type an integer or decimal rounded to two decimal places as​ needed.)