A team of psychologists hypothesize that feeling sick is associated with liking a flavor. They design a study in which rats are randomly split into two group. In one group the rats are given an injection of lithium chloride immediately following consumption of saccharin-flavored water. Lithium chloride makes rats feel sick. The rats in the other group were not given Lithium chloride after drinking the flavored water. The next day, all rats could drink saccharin-flavored water. The amount of saccharin-flavored water consumed (in milliliters) for all rat for the next day are given below. What can the psychologists conclude with α = 0.01?

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Condition 1:
---Select--- lithium chloride saccharin-flavored water disliking a flavor no lithium chloride the rats
Condition 2:
---Select--- lithium chloride saccharin-flavored water disliking a flavor no lithium chloride the rats

c) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0

d) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

e) Make an interpretation based on the results.

Rats that were given lithium chloride drank significantly more saccharin-flavored water than those that were not given lithium chloride.Rats that were given lithium chloride drank significantly less saccharin-flavored water than those that were not given lithium chloride.    There is no significant difference in saccharin-flavored water drank between rats that were given lithium chloride and those that were not.

A video game player insists that the longer he plays a certain computer game, the higher his scores are. The table shows the total number of minutes played and the high score (in thousands of points) achieved after each 5-minute interval. Use α = .01 .

# Min   5   10    15   20    25    30    35    40    45   50   55   60

Score  48.0 53.3 101.9 72.5 121.5 146.0 196.1 118.5 150.5 80.7 36.0 64.8

Find the critical value. (Round to the nearest thousandth. If more than one value is found, enter the largest critical value.)

A video game player insists that the longer he plays a certain computer game, the higher his scores are. The table shows the total number of minutes played and the high score (in thousands of points) achieved after each 5-minute interval. Use α = .01 .

# Min   5   10    15   20    25    30    35    40    45   50   55   60

Score  48.0 53.3 101.9 72.5 121.5 146.0 196.1 118.5 150.5 80.7 36.0 64.8

State the conclusion in words.

1. The sample data support the claim of linear correlation.
2. There is not sufficient sample evidence to support the claim of linear correlation.

A video game player insists that the longer he plays a certain computer game, the higher his scores are. The table shows the total number of minutes played and the high score (in thousands of points) achieved after each 5-minute interval. Use α = .01 .

# Min   5   10    15   20    25    30    35    40    45   50   55   60

Score  48.0 53.3 101.9 72.5 121.5 146.0 196.1 118.5 150.5 80.7 36.0 64.8

What game score do you predict after 47 minutes of play? (Round to the nearest hundredth.)

A dress is marked down 15%, and then it is marked down 25% from the discounted price. By what percent is the dress marked down from the original price after both discounts? Show all work. Why is the discount not equal to 40% off of the original price?

14. A common design requirement is that an environment must fit the range of people who fall between the 5th percentile for women and the 95th percentile for men. In designing an assembly work​ table, the sitting knee height must be​ considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are normally distributed with a mean of 21.1 in. and a standard deviation of 1.1 in. Females have sitting knee heights that are normally distributed with a mean of 19.4 in. and a standard deviation of 1.0 in. Use this information to answer the following questions.

1. What is the minimum table clearance required to satisfy the requirement of fitting​ 95% of​ men?____​(Round to one decimal place as​ needed.)

2. Determine if the following statement is true or false. If there is clearance for 95% of males, there will certainly be clearance for all women in the bottom 5%.

A. The statement is true because some women will have sitting knee heights that are outliers.

B. The statement is false because some women will have sitting knee heights that are outliers.

C. The statement is true because the 95th percentile for men is greater than the 5th percentile for women.

D. The statement is false because the 95th percentile for men is greater than the 5th percentile for women.

3. The author is writing this exercise at a table with a clearance of 23.9 in. above the floor. What percentage of men fit this table?

4. What percentage of women fit this table?

5. Does the table appear to be made to fit almost everyone? Choose the correct answer below.

A. The table will fit almost everyone except about 22% of men with the largest sitting knee heights.

B. The table will fit only 22% of men.

C. The table will only fit 1% of women.

D. Not enough information to determine if the table appears to be made to fit almost everyone.

15.The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days.

a. Find the probability of a pregnancy lasting 308 days or longer.____​(Round to four decimal places as​ needed.)

b. If the length of pregnancy is in the lowest 4​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.____​(Round to four decimal places as​ needed.)

A TV manufacture is supplied with a certain component by a specialist producer. Each incoming consignments is subject to the following quality control procedure. A random sample of 10 components is individually tested. If there are one or more defective components among the 10 tested, the entire consignment is rejected. If there are no defective components in the sample, the consignment is accepted.

i)What are the probabilities of a consignment being rejected if the true proportions of defective components are:

1) 1%

2) 10%

3) 30%

ii) if a sample of 20 components ( instead of 10) were tested,and the consignment rejected if two or more proved defective, calaculate the probabilities of rejecting a consignment for the same proportions of defective components( i.e 1%,10% and 30%)

iii) which quality control procedure do u think is the better

5. A U.S dime weighs 2.260 grams when minted. A random sample of 20 circulated dimes showed a mean weight of 2.248 grams with a standard deviation of .024 grams. Using alpha = 0.01, is the mean weight of all circulated dimes lower than the mean weight? What is the Excel formula to calculate the p-value?

10. Use the table to answer the questions below.

a) If two flights are randomly selected (with replacement) what is the probability that they are both Sun Country flights?

b) If one flight is randomly selected, what is the probability that it is a late flight or a Delta flight?

c) If one flight is randomly selected, what is the probability that it was on time, given that the flight was a Delta flight?

11. 10 people have volunteered to participate in a study. A group of 3 will be selected from the 10 to receive a particular treatment. How many ways can the 3 people be selected from the group of 10?

Describe what it means when two events are independent? What would make two events dependent? How does it change the calculation of probability of each?

Using the Motor Trend Car Road Tests dataset mtcars, in faraway R package, fit a model with mpg: Miles/(US) gallon as the response and the other variables as predictors. (a) Which variables are statistically significant at the 5% level? For each and every test provide the null and alternative hypotheses, critical region (or rejection region), test statistics and your conclusions. (30) (b) What interpretation should be given to the coefficient for vs: Engine? (3) (c) Compute 90 and 95% confidence intervals for the parameter associated with hp: Gross horsepower and interpret the results. (6) (d) Compute and display a 95% joint confidence region for the parameters associated with wt: Weight (1000 lbs) and hp: Gross horsepower. Plot the origin on this display. The location of the origin on the display tells us the outcome of a certain hypothesis test. State that test and its outcome. (5) (e) Fit a model with just mpg: Miles/(US) gallon; cyl: Number of cylinders; and disp: Displacement (cu.in.) as predictors and use an F-test to compare it to the full model. For this test provide the null and alternative hypotheses, critical region (or rejection region), test statistics and your conclusions. Please use R, Dataset mtcars(faraway)

I need to send questionnaire for research study the population number (3500) , am sending it online

how to calculate the right number of questionnaires i should send ? and the accepted responses number ?

Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.7-in and a standard deviation of 1-in. Due to financial constraints, the helmets will be designed to fit all men except those with head breadths that are in the smallest 4.2% or largest 4.2%.

What is the minimum head breadth that will fit the clientele?
min =

What is the maximum head breadth that will fit the clientele?
max =

Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Please explain steps and how z score was found.

One of the local hospitals wants to assure that they have enough nurses for incoming patients needing assistance, especially in the emergency room. To insure there are enough nurses on duty, but not an overage which would waste hospital resources, the following data regarding the number of patients entering the hospital over the last several weeks has been gathered. The data does not include weekend patient traffic, as the hospital has previously done a similar study and staffed weekends appropriately. You are to analyze the data using ANOVA methodology and determine if there are any differences in the number of patients served by the day of the week. If you find there are differences, which days seem to be the busiest? You are to write a report to the hospital nursing manager of your findings. Be sure to include the problem statement (what you were asked to do), your analysis (include the statistical methodology used with graphs, charts, formulas, etc.), and your findings, along with a recommendation for staffing. Report length: 4-6 pages DATE DAY #PATIENTS 10/30/14 Monday 38 10/31/14 Tuesday 29 11/1/14 Wednesday 28 11/2/14 Thursday 30 11/3/14 Friday 36 11/6/14 Monday 29 11/7/14 Tuesday 25 11/8/14 Wednesday 23 11/9/14 Thursday 26 11/10/14 Friday 36 11/13/14 Monday 38 11/14/14 Tuesday 29 11/15/14 Wednesday 24 11/16/14 Thursday 20 11/17/14 Friday 33 11/20/14 Monday 28 11/21/14 Tuesday 29 11/22/14 Wednesday 28 11/23/14 Thursday 25 11/24/14 Friday 34 You will need to create your own Excel sheet using the data above in order to run the ANOVA calculation. To help aid in what should be in your first Case Study, you can use this as a quick checklist of the most important things. This isn't all inclusive as you are expected to write out what you did, why you did it and explain your logic. - hypothesis and null hypothesis - ANOVA - a follow-up statistical test/s to show where the differences are occurring - graphs/charts/tables referencing your analyses and findings - results as well as what we can conclude and what the next steps/decisions of the hospital should be

In order to find out the probability that a student will bring a car to campus, 100 students are polled. Of those students, 85 have cars to bring to campus.

a) Find a point estimate for the proportion of students who will bring a car to campus.

b) For the 95% confidence level, find zc, the critical value for the given confidence level.

c) For the 95% confidence level, find the error, E, for the confidence interval (round your answer to two decimal places).

d) Find the 95% confidence interval for the proportion of students who bring their car on campus.

e) Which of the following (1-4) is the correct interpretation of the confidence interval?

----1) We are 95% confident the proportion of students who will bring their car to campus is larger than .78.

----2) We are 95% confident the proportion of students who will bring their car to campus is between .78 and .92.

----3) We are 95% confident that the probability that a random student will bring a car to campus is between .78 and .92.

----4) The proportion of students who will bring their cars to campus is between .78 and .92.

f) The study that was done was a preliminary study and the school will need to repeat the poll to get a 95% confidence interval. What should be the sample size in order for the error to be less than .08?

Floataway Tours has $420,000 that can be use to purchase new rental boats for hire during the summer. The boats can be purchased from two different manufacturers. Floataway Tours would like to purchase at least 50 boats and would like to purchase the same number from Sleekboat as from Racer to maintain goodwill. At the same time,Floataway Tours wishes to have a total seating capacity of at least 200.

Formulate this problem as a linear program.

        Maximum      Expected

     Boat           Builder       Cost      Seating      Daily Profit

Speedhawk   Sleekboat     $6000         3                   $ 70

Silverbird      Sleekboat     $7000         5                   $ 80

Catman          Racer            $5000         2                   $ 50

Classy            Racer            $9000         6                   $110

the height in children aged 10-15 is assumed to follow a normal distribution with a mean of 165 with a standard deviation of 15.

c)what proportion of children 10-15 years of age have height less than 145?
d)what proportion of children 10-15 years of age have height between 125 and 210?
e)how tall does a child 10-15 years of age have to be shorter than 95% of children?
f)how tall does a child 10-15 years of age have to be taller than 90% of children?