1. In general, the sample mean is a better estimator of the population mean for larger sample sizes.

2.

If events  A and  B are not mutually exclusive, then it is possible that  P( A) +  P( B) > 1.

3.

What method of data collection would you use to collect data for a study where a drug was given to 95 patients and a placebo to another group of 95 patients to determine if the drug has an effect on a patient's illness?

A player of a video game is confronted with a series of opponents and has 77% probability of defeating each one. Success with any opponent is independent of previous encounters. The player continues to contest opponents until defeated. (a) What is the probability mass function of the number of opponents contested in a game? (b) What is the probability that a player defeats at least 3 opponents in a game? Round your answer to two decimal places (e.g. 0.98). (c) What is the expected number of opponents contested in a game? Round your answer to the nearest integer. (d) What is the probability that a player contests 4 or more opponents in a game? Round your answer to four decimal places (e.g. 0.9876). (e) What is the expected number of game plays until a player contests 4 or more opponents? Round your answer to the nearest integer.

1: A numerical measurement that describes a population is called a ___________.

2: For any data set, approximately what percentage of the data is less than the 60th percentile?

4: Sally’s z-score for her test was ? = 1.4. Her actual score was ? = 84. The class standard deviation was ? = 2.0. What was the mean of the test?

5: The batting average of the Macomb College baseball team is normally distributed with a mean of 0.272 and a standard deviation of 0.030. If John is at the 80th percentile, find his batting average.

6: The probability that a person will get a cold this year is 0.6. If 10 people are selected at random, find the probability that exactly 5 of them will get a cold this year. Round to the nearest ten-thousandth.

7: If ?(?) = 0.35 , ?(?) = 0.25, and the events ? and ? are disjoint (mutually exclusive), then ?(? ?? ?) = _________.

9: Assume values are normally distributed with a mean of 20 and standard deviation of 4. Find the probability that a randomly selected value lies between 15 and 28. Round to the nearest ten-thousandth.

10: All possible random samples of size ? = 100 are selected from a population with mean ? = 25 and standard deviation ? = 9. The standard error of the mean ??̅ is _________.

11: In a Gallup poll of 1000 randomly selected adults, 347 of them said they were underpaid. Construct a 95% confidence interval estimate of the percentage (proportion) of all adults who say that they are underpaid. Round to the nearest hundredth.

12: If you are using a ? −test when testing a claim about a population mean and the sample size is 53, the number of degrees of freedom is ________.

Use the following information for questions 13, 14, 15, and 16:

A state inspector claims that the Mill Valley Bottling Company is cheating consumers by filling bottles with less than 64 ounces of juice. The inspector randomly selects 41 of these bottles, measures their content, and obtains a mean of 63.75 ounces and a standard deviation of 0.86 ounces.

13: State the Null Hypothesis (?0) and Alternate Hypothesis (?1) for the test of the inspector’s claim.

14: Find the value of the test statistic for testing the inspector’s claim. Round to the nearest hundredth.

15: Find the P-value. Round to the nearest ten-thousandth.

16: When ? = 0.05, would you reject or fail to reject the null hypothesis? Additionally, state the proper conclusion of the test.

17: A veterinarian collected a random sample of pairs of data consisting of heights (?) and weights (?) of Chihuahuas. She computed the test statistic for this data to be ? = 0.500, the mean height (?̅) to be 7.6 inches, the mean weight (?̅) to be 5.2 pounds, and the regression equation to be ?̂ = 0.8? − 0.88. If the critical values for this data are ? = ±0.444. Find the best predicted weight (in pounds) for a Chihuahua that is 6.5 inches tall. Round to the nearest hundredth.

18: A study investigates income level in the U.S. to determine if it is independent of region. If there are 20 regions and 4 income levels, how many degrees of freedom are there to find the critical value for a ?2 test of independence?

20: Assume that matched pairs of data result in the given number of signs when the value of the second variable is subtracted from the corresponding value of the first variable. There are 8 positive signs (+), 7 negative signs (−), and 2 ties (zeros). Using the sign test with ? = 0.05 significance level, state the test statistic, the critical value, and whether or not you would reject the null hypothesis of no difference in the variables.

Test statistic = ____ ; Critical Value = _____ ; Reject or Fail to Reject Null Hypothesis?

Please just provide the final answer there is NO need for explain the question. Thanks and have a great day.

Briefly describe the conflict between confidence level and margin of error when constructing a confidence interval for a population mean from a sample. How do you resolve this conflict?

Create a research hypothesis about Human Resource Management that would be answered using either a z- or a t- test
(PLEASE TYPE THE ANSWERS)(STATISTICS 500)

1. Introduction: Brief description of the study including the purpose and importance of the research question being asked.

2. What is the null hypothesis? What is the research hypothesis?

3. Participants/Sampling Method: Describe your sampling method. What is your sample size? Who is your population of interest? How representative is the sample of the population under study?

4. Data Analysis: Describe the statistical analysis. What is your variable? What is its level of measurement? What is your alpha level?

5. Results & Discussion: Did you reject the null hypothesis? What information did you use to lead you to your conclusion? Was your p value greater than or less than your alpha? NOTE: You can just make up numbers, but include your made-up p value

1 point) A recent study in the Journal of the American Medical Association reported the results of an experiment where 40 overweight individuals followed the Weight Watchers diet for one year. Their weight changes at the end of the year had a mean of ?¯=3.1x¯=3.1 kg with a standard deviation of ?=4.7s=4.7 kg. We want to use this data to test the claim that the diet has an effect, that is, that the weight change is higher than 0.

1. Which set of hypotheses should be used for testing this claim?
A. ?0:?=3.1H0:μ=3.1 vs. ??:?>3.1Ha:μ>3.1
B. ?0:?=0H0:μ=0 vs. ??:?>0Ha:μ>0
C. ?0:?=0H0:μ=0 vs. ??:?≠0Ha:μ≠0
D. ?0:?=0H0:μ=0 vs. ??:?<0Ha:μ<0

2. Which of the following conditions must be met for the hypothesis test to be valid? Check all that apply.

A. The amount each person's weight changed must be independent of the amount other participant's weights changed.
B. There must be at least 10 people who 'succeeded' on the diet and 10 who 'failed'.
C. There must be at least 5 people who followed the diet for a full year.
D. The weight loss measurements for people in the sample must be normally distributed.
E. The sample size must be at least 30 or the population data for weight loss must be normally distributed.

3. Calculate the test statistic:

4. Calculate the p-value:

5. Calculate the effect size, Cohen's ?d, for this test: ?̂=d^=

6. The results of this test indicate we have a...
A. small
B. small to moderate
C. large
D. moderate to large
effect size, and...
A. very strong evidence
B. extremely strong evidence
C. little evidence
D. some evidence
E. strong evidence
that the observed result is not due to chance, assuming the null model is true.

6. A 95% confidence interval for the mean weight change (in kg) for people on this diet is (1.6, 4.6). Which of the statements below is correct?
A. There is a 95% chance that 95% of the individuals in the study who followed the diet for one year lost at least 1.6 kg.
B. We can be 95% confident that the mean weight loss for the population of people for whom the sample participants are a representative sample is between 1.6 kg and 4.6 kg.
C. We can be confident that 95% of the individuals who follow this diet for one year will lose between 1.6 kg and 4.6 kg.

Simple random sampling is usually easy to design and analyze.However,it is not the best design to use in some situations. Explain why

Based on data from the Statistical Abstract of the United States, 112th Edition, only about 20% of senior citizens (65 years old or older) get the flu each year. However, about 32% of the people under 65 years old get the flu each year. In the general population, there are 15% senior citizens (65 years old or older).

(a) What is the probability that a person selected at random from the general population is senior citizen who will get the flu this season? (Use 3 decimal places.)


(b) What is the probability that a person selected at random from the general population is a person under age 65 who will get the flu this year? (Use 3 decimal places.)


(c) Answer parts (a) and (b) for a community that has 87% senior citizens. (Use 3 decimal places.)

(d) Answer parts (a) and (b) for a community that has 48% senior citizens. (Use 3 decimal places.)

Hello,

Please give me step by step solution (screenshot) on how to use the SPSS to solve the following:

To examine the work environment on attitude toward work, an industrial hygienist randomly assigns a group of 18 recently hired sales trainees to three "home rooms" - 6 trainees per room. Each room is identical except for wall color. One is light green, another is light blue, and the third is a deep red. During the week-long training program, the trainees stay mainly in their respective home rooms. At the end of the program, an attitude scale is used to measure each trainer's attitude toward work (a low score indicates a poor attitude and a high score a good attitude). On the basis of these data, the industrial hygenist wants to determine whether there is significant evidence that work environment (i.e., color of room) has an effect on attitude toward work, and if so, which room color(s) appear to significantly enhance attitude using the SPSS ANOVA test.

Here is the data:

Light Green Light Blue Deep Red
46 59 34
51 54 29
48 47 43
42 55 40
58 49 45
50 44 34

What is your conclusion?

Can the consumption of water in a city be predicted by temperature? The following data represent a sample of a day’s water consumption and the high temperature for that day. Water Use (millions of gallons) Temperature (degrees Fahrenheit) 219 103ο 56 39 107 77 129 78 68 50 184 96 150 90 112 75

a. Develop a least squares regression line to predict the amount of water used in a day in a city by the high temperature for that day. .

b. What would be the predicted water usage for a temperature of 100ο?

c. Evaluate the regression model by calculating se, by calculating r2, and by testing the slope. Let alpha = .01. *(Round your answer to 2 decimal places.) **(Round the value of SSE to 4 decimal places. Round your answers to 3 decimal places.)

a. y Overscript ̂ EndScripts = plus x (Do not round the intermediate values. Round your answers to 4 decimal places.)

b. y Overscript ̂ EndScripts = (Do not round the intermediate values. Round your answers to 2 decimal places.)

c. se = **

r2 = *

Observed t = *

It is known that white sharks grow to a mean length of 18.9 feet.

A marine biologist claims that the great white sharks off the

coast of Bermuda grow much longer. Thirteen great white sharks

are captured, measured, and released off of Bermuda’s coast.

The mean length is 19.66 feet and the standard deviation is 2.6

feet. Does the data provide sufficient evidence at the .05 level

of significance to support the biologist’s claim?

4. A group consist of 6 men and 5 women. Find the number of choosing 5 committee members:

e) Without condition

f) Must have 2 men and 2 women and another person either men or women

g) The number of men must exceed the number of women

h) Must have at least 1 men and 1 women

6. How many choices are there if we want to make a 5 person committee from 12 persons, if the president has already been chosen?

The manager of a large supermarket took a random sample of

1400 egg cartons and found that 112 cartons had at least one

broken egg.

a. Find a point estimate for the proportion of all egg cartons

that have at least one broken egg.

Ans 10a______________

b. Estimate this proportion using 92% C.I.

Excel Assignment 2
Direction: Use Microsoft Excel to answer the following three questions (Excel Instructions are provided in previous assignment)
1. An Economist was interested in sex differences in the number of books a person reads (see file: Number of Books). Two random samples were taken, one of men and the other, and the number of books read during the last month was recorded. Is there a difference with respect to the number of books read by females and males?