Consider the following regression results based on 20 observations. [You may find it useful to reference the t table.]

a-1. Choose the hypotheses to determine if the intercept differs from zero.

• H₀: β₀ ≤ 0; H_A: β₀ > 0

• H₀: β₀ ≥ 0; H_A: β₀ < 0

• H₀: β₀ = 0; H_A: β₀ ≠ 0

a-2. At the 5% significance level, what is the conclusion to the hypothesis test? Does the intercept differ from zero?

• Reject H₀; the intercept is greater than zero.

• Reject H₀; the intercept differs from zero.

• Do not reject H₀; the intercept is greater than zero.

• Do not reject H₀; the intercept differs from zero.

b-1. Construct the 95% confidence interval for the slope coefficient. (Negative values should be indicated by a minus sign. Round "t_α/2,df" value to 3 decimal places and final answers to 2 decimal places.)

b-2. At the 5% significance level, can we conclude the slope differs from zero?

• Yes, since the interval contains zero.

• Yes, since the interval does not contain zero.

• No, since the interval contains zero.

• No, since the interval does not contain zero.

Let X be the random variable for the number of heads obtained when three fair coins are tossed:

(1) What is the probability function?

(2) What is the mean?

(3) What is the variance?

(4) What is the mode?

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.6 days and a standard deviation of 1.8 days.

What is the probability of spending more than 4 days in recovery? (Round your answer to four decimal places.)

I have been stuck on this question for an hour.

A survey found that​ women's heights are normally distributed with mean 62.6 in. and standard deviation 2.1 in. The survey also found that​ men's heights are normally distributed with mean 69.4 in. and standard deviation 3.8 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 63 in. Complete parts​ (a) and​ (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement​ park? The percentage of men who meet the height requirement is nothing​%. ​(Round to two decimal places as​ needed.) Since most men ▼ meet do not meet the height​ requirement, it is likely that most of the characters are ▼ men. women. b. If the height requirements are changed to exclude only the tallest​ 50% of men and the shortest​ 5% of​ men, what are the new height​ requirements? The new height requirements are a minimum of nothing in. and a maximum of nothing in. ​(Round to one decimal place as​ needed.)

Normal distribution. We expect an LED light bulb to last nine years with a standard deviation of two years. It follows a normal distribution. Find the probability that a light bulb will last between five and seven years.

A question on my practice test is asking the probability of rolling an even number divisible by 1.5 on a die. The answer it gives me is .333, which suggests that there are two numbers. However; between 1 and 6 only 3 and 6 are divisible by 1.5, and only one of those is even.

Hence I get 1/6 =.1667. Am I missing something?

Please be clear and explain!

9-­‐63: A 1992 article in the Journal of the American Medical Association reported body temperature, gender, and heart rate for a number of subjects. The body temperatures for 25 female subjects follow: 97.8, 97.5, 97.4, 97.6, 97.8, 97.9, 98.0, 98.0, 98.0, 98.1, 98.2, 98.3, 98.3, 98.4, 98.4, 98.4, 98.5, 98.6, 98.7, 98.8, 98.8, 98.9, 98.9, and 99.0. a) Test the hypothesis if H0 : μ = 98.6, H1 : μ ≠ 98.6 using α=0.05. Find the P-­‐value. b) Check the assumption that female body temperature is normally distributed. c) Compute the power of the test if the true mean female body temperature is as low as 98.0. d) What sample size would be required to detect a true mean female body temperature as low as 98.2 if you wanted the power of the test to be at least 0.9? e) Explain how the question in part (a) could be answered by constructing a two-­‐sided confidence interval on the mean of female body temperature?

Please do you best to explain how to graph in Matlab or Excel.. Thanks!

A physician wants to develop criteria for determining whether a​ patient's pulse rate is​ atypical, and she wants to determine whether there are significant differences between males and females. Use the sample pulse rates below.

A. Construct a 95​% confidence interval estimate of the mean pulse rate for males.

B. Construct a 95​% onfidence interval estimate of the mean pulse rate for females.

PLEASE ANSWER ALL QUESTIONS !

1. Gwen suspects fraud is occurring at a hotel she manages. Historically, each of her hotels spends $8,250 per month in maintenance expenses with a standard deviation of $1,070. At the suspect hotel, the last 31 months have averaged $8,490 in maintenance expenses. Gwen thinks the hotel is spending significantly more than the others. Use the 10% significance level.

Calculate the value of the test statistic.

Select one:

a. 0.87

b. 0.89

c. 1.36

d. 1.25

e. 1.54

2. Harley is working as a waiter at a restaurant while paying his way through school. The manager told him he could expect $95 per night in tips with a standard deviation of $30. However, after 32 nights he is averaging only $85 in tips. He wants to know if this is significantly different at the 5% significance level.

Calculate the value of the test statistic.

Select one:

a. -2.06

b. -1.61

c. -1.89

d. -2.26

e. -2.64

A cloth manufacturer finds that 8% of their production are defective. What is the probability that a batchof 10 willcontain (a) more than two defectives? (b) Less than seven defectives? (c) Exactly eight defectives.

A manufacturer of cell phones wants to know if Prototype A or Prototype B is better. They randomly select 200 college students and then randomly assign half to each prototype. Each student will use the prototype for one month. After the month, the investigator asks each student to rate the phone on a scale of 1 to 5.

a) Draw the appropriate experimental design of this study.

b) Describe a possible methodology to determine which phone that each student is provided in the study.

c) Is this study well designed? Please explain your answer. If the study is not well designed, how would you change the design method?

update I have finished 1-5 6-9 are stumping me

"Durham Police is to become the first force in the country (UK) to introduce a scheme in which users are treated with diamorphine - medical grade heroin.
Ron Hogg, County Durham's Police, Crime and Victims' Commissioner, says such treatment lowers offending levels.
Opponents claim trials have not shown significant benefits.
Mr Hogg told BBC Newcastle existing national policies had not been effective and pointed to six-year trials in Darlington, London and Brighton which he said had helped wean users off the drug.
Addicts were given the opiate in consumption rooms, often referred to as "shooting galleries", supervised by medical professionals.
"It got them back into a normal life and it cut crime," he said.
"We saw health benefits for the individuals, we saw needles being taken off the street, so there's an awful lot of evidence both in the UK and across the world that such schemes do actually work.
"All police and crime commissioners spend a lot of money on what we call diversionary work - community projects and youth offending schemes - because we know this will stop people committing crime.
"This is just an extension of that rationale. The controversiality is because it's drugs."
'Not unusual'
Mr Hogg said the UK had the highest rate of heroin, cocaine and ecstasy use across the European Union with drug-induced deaths totalling 45 people per million compared with 17 per million in the EU.
Aiming to introduce the scheme "by the end of this year", he added the force's public health partners were working out the cost of administering the drug to users twice-daily.
He previously mooted such a move in 2013.

"If we go back to the 1960s, doctors used to prescribe heroin as a means of treating someone back to recovery. It's not that unusual," he said.
"We've got to consider the Misuse of Drugs Act has been in since 1971 and we haven't arrested the way out of the problem, have we?"
A Home Office spokesman said there was evidence "supervised use of [diamorphine] in a medical environment as part of a treatment plan can help keep patients in treatment and out of criminal behaviour".
However, David Raynes of the National Drug Prevention Alliance, warned the move "will not stop addicts being addicts".
"It doesn't stop people using street drugs," he said.
"It may reduce crime marginally, but it doesn't reduce crime permanently."

Working together as a group, design a study to address whether this method is effective or not in reducing crime due to heroin addiction. Ron Hogg of County Durham's Police believes it works while David Raynes of the National Drug Prevention Alliance is skeptical. Your job is to help settle the argument using a statistical study. You will need to address the following in your write up:

1 What is the population of interest?

2 What are the null and alternate hypotheses of your study?

3 What data type will you be collecting in this study (numerical or categorical)?

4 How would you collect the data needed to decide which hypothesis to support?

5 How would you make sure the data collected is representative of the population of interest and not biased?

6 Specifically, what tools would you use to analyze the data? You need to give the names of any plots/graphs that would be useful and the type of hypothesis test that would be used to settle the argument between Mr. Hogg and Mr. Raynes.

7 Based on what hypothesis test you selected in part 6, what assumptions need to be check prior to using said test?

8 Let's assume your study resulted in the data being statistically significant. Which hypotheses would have been supported? Give a possible p-value for this result. If an error had occurred, which type (Type I or Type II) could it have been?

9 Let's assume your study resulted in the data NOT being statistically significant. Which hypotheses would have been supported? Give a possible p -value for this result. If an error had occurred, which type (Type I or Type II) could it have been?

Seventy percent of the students applying to a university are accepted. Using the binomial probability tables or Excel, what is the probability that among the next 12 applicants:

1. At least 6 will be accepted?
2. Exactly 10 will be accepted?
3. Exactly 8 will be rejected?
4. Seven or more will be accepted?
5. Determine the expected number of acceptances.
6. Compute the standard deviation.  Hint from Dr. Klotz: There are formulas you need on page 245 or check out 5.4 in Notations and Symbols for this week. Remember that standard deviation is the square root of the variance.

Scores on a recent national statistics exam were normally distributed with a mean of 90 and a standard deviation of 5.

1. What is the probability that a randomly selected exam will have a score of at least 85?
2. What percentage of exams will have scores between 89 and 92?
3. If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award?

The ceramic tile used in the construction of the floors in a mall must be sturdy, easy to clean, and long-lasting. Before installing a specific type of tile, a construction firm orders a box of 25 of the proposed type of tile and uses a standard strength test on each tile in the box. The standard breaking test consists of someone putting each tile half way on a table in a specialized way and then placing standardized weights on the part of the tile that is not on the table until the tile breaks. The results are used to determine whether this type of tile will be used throughout the new mall.

a) Is this an observational or an experimental study? Please explain your answer.

b) What is the sample in this problem?
The 25 tiles of this type.
All tiles of this type.
25 tiles of any type of tiles used on floors in malls.

c) Is this sample random? If so, justify your answer. If not, describe a possible technique that could be used to obtain a random sample.
All tiles used on floors in malls.

Please Use your keyboard (Don't use handwriting) Thank you..

Courses Name: Introduction to Biostatistics PHC 121

Please answer the following questions:

***Please i need more than 500 words ..

I need new and unique answers, please. (Use your own words, don't copy and paste)

Q1. Discuss the tools to measure central tendency?

Q2.

a) Discuss parametric and nonparametric test used for hypothesis testing.

    b) In a cross sectional study on coronary heart disease (CHD), the smoking and CHD status is summarized below. Use appropriate statistical test to conclude smoking plays any role in CHD.

***Please i need more than 500 words ..

I need new and unique answers, please. (Use your own words, don't copy and paste)

***Please i need more than 500 words ..

I need new and unique answers, please. (Use your own words, don't copy and paste)