Assume that you have a sample of

n 1 equals 8n1=8​,

with the sample mean

Upper X overbar 1 equals 48X1=48​,

and a sample standard deviation of

Upper S 1 equals 4 commaS1=4,

and you have an independent sample of

n 2 equals 12n2=12

from another population with a sample mean of

Upper X overbar 2 equals 35X2=35

and the sample standard deviation

Upper S 2 equals 7.S2=7.

Complete parts​ (a) through​ (d) below.

What is the value of the​ pooled-variance t Subscript STATtSTAT test statistic for testing Upper H 0 : mu 1 equals mu 2H0: μ1=μ2​?, In finding the critical​ value, how many degrees of freedom are​ there?, Using a significance level of alpha α equals=0.250.25​, what is the critical value for a​ one-tail test of the hypothesis, Upper H 0 : mu 1 less than or equals mu 2H0: μ1≤ μ2 against the alternative Upper H 1 : mu 1 greater than mu 2 question mark, What is your statistical​ decision?

1. State the hypothesis and identify the claim.

H0:

H1:

2. Find the critical value and determine what error level to use. For all the problems on this homework use an alpha level of .05 Determine if the test is right tailed, left tailed or non-directional.
3. Compute the test Value It will be an ANOVA,
4. Make a decision to reject or fail to reject the null hypothesis.
5. Summarize the results

Problem #2 You are a researcher who wants to know if there is a difference in the means of three different groups you have been working with to stop smoking. You have randomly selected 15 smokers and randomly placed them into three groups. Group one receives traditional treatment, pamphlets and videos on the health risks of smoking. Group two receives a fake treatment in the form of a daily pill, this is a placebo. The third group will receive motivational interviewing treatment within their weekly counseling sessions. All smokers in the three groups smoke on average 20 cigarettes a day. You hypothesize that there will be some difference between the three groups or within the three groups. Using an alpha level of .05, use the five-step approach to reject or fail to reject the HO: that all three groups will have equal means. Remember to report the P value as well. Critical values to determine the critical region can be found using table H on page 654. You must find the degrees of freedom for the numerator and the denominator. The following data shows how many cigarettes group participants smoked after eight weeks of treatment.

Group 1       Group 2       Group 3

20                 18                6

18                 20                3

21                 23                1

17                19                2

19                 18                1

Bonus Points 10. Must answer all possibilities to receive points. What are the independent variables and what is the dependent variable?

Suppose a simple random sample of size n equals=1000 is obtained from a population whose size is N equals=1,000,000 and whose population proportion with a specified characteristic is p=0.74.

​(b) What is the probability of obtaining x=770 or more individuals with the​ characteristic?

​(c) What is the probability of obtaining x=720 or fewer individuals with the​ characteristic?

​(Round to four decimal places as​ needed.)

How to solve these problems in Statcrunch? Thank you!

give examples of descriptive and inferential statistics in healthcare

We want to examine the effects of three different diet plans on later weight loss. Three different conditions were created:

Diet A - 5,6,7,4,2

Diet B, 10,6,9,8,5

and No Diet, 2,4,5,3,6

and each condition has 5 subjects.

After two weeks on the diet plan, participants’ weight loss was measured.

Is there a difference in the effectiveness of these diet plans?

8. What is your ?????ℎ???  - ?????ℎ?? = ?????ℎ?? ?????ℎ?? =

9. What is your Fobs?

Fobs = ????????? ?????ℎ?? =

10. Do you reject or fail to reject your null hypothesis? Explain your decision.

11. What is your effect size?

η 2 = ??? ??? =

12. On average, what value is expected for the F-ratio if the null hypothesis is true?

13. An ANOVA is used to evaluate the mean differences among three treatment conditions with a sample of n = 12 participants in each treatment. For this study, what is df total? –

a. 0

b. 1.00

c. Between 0 and 1.00

d. Much greater than 1.00 a. 2 c. 33 b. 11 d. 35

The proportion of drivers who use seat belts depends on things like age, sex, and ethnicity. As part of a broader study, investigators observed a random sample of 123 female Hispanic drivers in Boston. 68 of those in the sample were observed wearing a seat belt. Find the 95% confidence interval (±0.0001) for the proportion of all female Hispanic drivers in the Boston area who wear seat belts. The 95% confidence interval is from _ to _

name and draw two diagnostic plots used to evaluate linear regression and how they would look if all model assumptions are met.

A new product will sell for $8. The company expects to sell around 900,000 units. (Use a normal distribution with a mean of 900,000 and a standard deviation of 300,000.) Fixed costs are normally distributed with a mean of $700,000 and a standard deviation of $50,000. Unit variable costs are also normally distributed with a mean of $3 and a standard deviation of $0.25. Selling expenses are lognormally distributed with a mean of $900,000 and a standard deviation of $50,000.

a. What is the expected value of profit for this product?

b. What is the probability that profit will exceed $3 million?

The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random sample of 23 items from the first population showed a mean of 107 and a standard deviation of 12. A sample of 15 items for the second population showed a mean of 102 and a standard deviation of 5. Use the 0.025 significant level. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) State the decision rule for 0.025 significance level. (Round your answer to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is your decision regarding the null hypothesis? Use the 0.03 significance level.

4. To study whether movie ratings and release season influence the box office earnings, you gather data on 70 recent movies. You characterize each movie’s rating (G, PG, PG-13, R, or NC-17) and release season (summer or not summer).
   1. Complete the ANOVA table below by filling in the shaded boxes
   2. Find the appropriate critical value(s) [?=0.05]
   3. Does box office revenue significantly vary with rating, release season, or their interaction? Clearly answer for each

   4. 	SS	df	MS	F
      Rating	455
      Season	192.5
      Interaction	140

Consider the following game: Three cards are labeled $1, $4, and $7. A player pays a $9 entry fee, selects 2 cards at random without replacement, and then receives the sum of the winnings indicated on the 2 cards.

a) Calculate the expected value and standard deviation of the random variable "net winnings" (that is, winnings minus a $9 entry fee)

b) Suppose a 4th card, labelled k, is added to the game but the player still selects two cards without replacement. What is the value of k which makes the game fair (i.e makes expected net winnings = $0)

1. Calculate the test statistic to compare the variance in poverty rates for rural counties to that of urban cities in 2016.

2. Calculate the p-value of the test statistic to compare the variance in poverty rates for rural counties to that of urban counties in 2016.

These are two questions I have for my homework, I have an excel sheet to work with and I just need to know the operations to derive these calculations. Also, is the F-Statistic the test statistic?

To study the effectiveness of possible treatments for insomnia, a sleep researcher
conducted a study with 12 participants. Four participants were instructed to count
sheep (the Sheep Condition), four were told to concentrate on their breathing (the
Breathing Condition), and four were not given any special instructions. Over the next
few days, measures were taken how long it took each participant to fall asleep. The
average times for the participants in the Sheep Condition were 14, 28, 27, and 31; for
those in the Breathing Condition, 25, 22, 17, and 14; and for those in the control
condition, 45, 33, 30, and 41. Do these results suggest that the different techniques have
different effects? Answer the question by conducting a hypothesis test at the 0.05
significant level.
Use the five steps of hypothesis testing and demonstrate your calculations.

Please demonstrate all calculations in detail in your answers including how you found the standard deviations. Thanks.

Suppose you are rolling two independent fair dice. You may have one of the following outcomes

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,2) (4,4) (4,5)  (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5)  (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now define a random variable Y = the absolute value of the difference of the two numbers
a. Complete the following pmf of Y with necessary calculations and reasoning.

b. Find the mgf of Y

c. Now further consider another random variable X = the sum of the two numbers. Do you think X and Y are independent? Briefly explain your reasons

A particular meat-processing plant slaughters steers and cuts and wraps the beef for its customers. Suppose a complaint has been filed with the Food and Drug Administration (FDA) against the processing plant. The complaint alleges that the consumer does not get all the beef from the steer he purchases. In particular, one consumer purchased a cut and wrapped beef. To settle the complaint, the FDA collected data on the live weights and dressed weights of nine steers processed by a reputable meat processing plant (not the firm in question). The results are listed in the table.

a. Fit the model E(y)= β₀ + β₁x to the data

b. Construct a 95% prediction interval for the dressed weight y of a 300-pound steer.

c. Would you recommend that the FDA use the interval obtained in part b to determine whether the dressed weight of 150 pounds is a reasonable amount to receive from a 300-pound steer? Explain.