1. ) An instructor believes that students do not retain as much information from a lecture on a Friday compared to a Monday. To test this belief, the instructor teaches a small sample of college students some preselected material from a single topic on statistics on a Friday and on a Monday. All students received a test on the material. The differences in exam scores for material taught on Friday minus Monday are listed in the following table.

(a) Find the confidence limits at a 95% CI for these related samples. (Round your answers to two decimal places.)
to

(b) Can we conclude that students retained more of the material taught in the Friday class?

Yes, because 0 lies outside of the 95% CI.No, because 0 is contained within the 95% CI.    

2;) Listening to music has long been thought to enhance intelligence, especially during infancy and childhood. To test whether this is true, a researcher records the number of hours that eight high-performing students listened to music per day for 1 week. The data are listed in the table.

(a) Find the confidence limits at a 95% CI for this one-independent sample. (Round your answers to two decimal places.)
to  hours per day

(b) Suppose the null hypothesis states that students listen to 3.5 hours of music per day. What would the decision be for a two-tailed hypothesis test at a 0.05 level of significance?

Retain the null hypothesis because the value stated in the null hypothesis is within the limits for the 95% CI.Reject the null hypothesis because the value stated in the null hypothesis is outside the limits for the 95% CI.    Reject the null hypothesis because the value stated in the null hypothesis is within the limits for the 95% CI.Retain the null hypothesis because the value stated in the null hypothesis is outside the limits for the 95% CI.

A website has the following policy for creating a password:

• Passwords must be exactly 8 characters in length.

• Passwords must include at least one letter (a-z, A-Z) or supported special character (@, #, $ only). All letters are case-sensitive.

• Passwords must include at least one number (0-9).

• Passwords cannot contain spaces or unsupported special characters

According to this policy, how many possible passwords are available? (Round to the nearest trillion)

Question 4 Use your TI83 (or Excel): A normally distributed population of IQ scores has a mean of 99 and a standard deviation of 17. Determine the IQ at the 2nd percentile. Round to the nearest whole number

QUESTION 5 Use your TI83 (or Excel): A normally distributed population has a mean of 271 and a standard deviation of 28. Determine the value of the 90th percentile. Round to the nearest whole number

QUESTION 6 Use your TI83 (or Excel): A normally distributed population has a mean of 98.11 and a standard deviation of 0.22. Determine the value of the third quartile. Round to the nearest hundredth

QUESTION 7 Use your TI83 (or Excel): A normally distributed population has a mean of 98.37 and a standard deviation of 0.39. Determine the value of the first quartile. Round to the nearest hundredth

QUESTION 8 Use your TI83 (or Excel): A normally distributed population has a mean of 110 and a standard deviation of 19. Determine the value of the third quartile. Round to the nearest tenth

The probability that a house in an urban area will develop a leak is 6​%.If 44 houses are randomly​ selected, what is the probability that none of the houses will develop a​ leak? Round to the nearest thousandth.

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Refer to the gasoline sales time series data in the given table.

Anystate Auto Insurance Company took a random sample of 374 insurance claims paid out during a 1-year period. The average claim paid was $1530. Assume σ = $230. Find a 0.90 confidence interval for the mean claim payment. (Round your answers to two decimal places.) lower limit $ upper limit $ Find a 0.99 confidence interval for the mean claim payment. (Round your answers to two decimal places.) lower limit $ upper limit

I will be grateful to be answered using excell

You have to include the Excel formulas used.

In an evaluation of progress, made to 400 managers, the average of the scores was 70 and its standard deviation was 8.0, what is the probability that, if we select a manager at random (among the 400 that were evaluated ), did he get 70 or more?

Z                              =             __________________________

1-Z                          +             __________________________

Probability          =             __________________________ = ____________________%

Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, the probabilities of Atlanta winning each game are as follows:

Set up a spreadsheet simulation model for which whether Atlanta wins or loses each game is a random variable. What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places.
What is the average number of games played regardless of winner? If required, round your answer to one decimal place.

Three years​ ago, the mean price of an existing​ single-family home was $243,742. A real estate broker believes that existing home prices in her neighborhood are higher.

a. determine the null and alternative hypothesis

b. explain what it would mean to make a Type 1 error

c. explain what it would mean to make a Type 2 error

At a small liberal arts college, students can register for one to six courses. In a typical fall semester, 5% of students take one class, 26% take four classes, and 15% take six classes.

a) If 77% of students take four or more classes, find the probability that a randomly selected student takes five courses. What is the probability that a randomly selected student takes three classes, if 10% take at most two classes?

b) Calculate the expected value and standard deviation for the number of classes students enroll in.

The FBI wants to determine the effectiveness of their 10

Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught.

Step 2 of 2 :

Suppose a sample of 246

suspected criminals is drawn. Of these people, 108 were captured. Using the data, construct the 80% confidence interval for the population proportion of people who are captured after appearing on the 10

Most Wanted list. Round your answers to three decimal places.

A pharmaceutical manufacturer wants to investigate the bioactivity of a new drug. A completely randomized single-factor experiment was conducted with three dosage levels, and the following results were obtained. Use R to run ANOVA to test if the dosage has some effects or not.

a. Find the test statistic.

b. Find the p-value (Please input a decimal value. Please input 0 or 0.0001 if it is smaller than 0.0001 ) .

Elementary Statistics, 10th Edition, by Mario Triola; chapter 2, section 2-2, question 18, page 50:

Loaded die: the author drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 180 times. The results are given in the frequency distribution in the margin. Construct the frequency distribution for the outcome you would expect from a die that is perfectly fair and unbiased. Does the loaded die appear to differ significantly from a fair die that has not been "loaded."

table for question 18:

Outcome: Frequency:

1 24

2 28

3 39

4 37

5 25

6 27

Iron-deficiency anemia is the most common form of malnutrition in developing countries, affecting about 50% of children and women and 25% of men. Iron pots for cooking foods had traditionally been used in many of these countries, but they have been largely replaced by aluminum pots, which are cheaper and lighter. Some research has suggested that food cooked in iron pots will contain more iron than food cooked in other types of pots. One study designed to investigate this issue compared the iron content of some Ethiopian foods cooked in aluminum, clay, and iron pots. Foods considered were yesiga wet', beef cut into small pieces and prepared with several Ethiopian spices; shiro wet', a legume-based mixture of chickpea flour and Ethiopian spiced pepper; and ye-atkilt allych'a, a lightly spiced vegetable casserole. Four samples of each food were cooked in each type of pot. The iron in the food is measured in milligrams of iron per 100 grams of cooked food. The data are shown in the table below.

(a) Make a table giving the sample size, mean, and standard deviation for each type of pot. Is it reasonable to pool the variances? Although the standard deviations vary more than we would like, this is partially due to the small sample sizes, and we will proceed with the analysis of variance.

(b) Plot the means. Give a short summary of how the iron content of foods depends upon the cooking pot.

This answer has not been graded yet.

(c) Run the analysis of variance. Give the ANOVA table, the F statistics with degrees of freedom and P-values, and your conclusions regarding the hypotheses about main effects and interactions.