An online bookstore predicts that the percentage of college students buying anthropology books online is not equal to 45 %, on average. Several of the bookstore’s client universities would like to know if this is likely, so the online bookstore decides to do a hypothesis test at a 10% significance level. Data is collected from 11 universities providing the following information: H0: μ=45; Ha: μ≠45 x¯=51 σ=4 α=0.1 (significance level) The test statistic is z0=x¯−μ0σn√=51−45411√=4.97 The critical values are −z0.05=−1.64 and z0.05=1.64. Conclude whether to reject or not reject H0, and interpret the results. Based on this context and the null and alternative hypothesis, what type of hypothesis test should be used? Use the curve below to show your answer. Select the appropriate test by dragging the blue point to a right-, left- or two-tailed diagram. The shaded area represents the rejection region. Then, set the critical value(s) on the x-axis by moving the purple slider on the right. Provide your answer below:

All graphs must be neat and legible (use a straightedge to draw straight lines). All graphs must be labeled appropriately (as instructed in class). You do not need to write any complete sentences. Your graphs and charts are your work for each problem.

1) The following is the amount of hay (in hundreds of pounds) eaten by a sample of 24 elephants.

2.98, 3.05, 3.19, 3.27, 3.45, 3.51, 3.90, 3.93, 4.03, 4.09, 4.10, 4.15, 4.19, 4.46, 4.48, 4.49, 4.50, 4.55, 4.60, 4.65, 4.79, 4.79, 4.91, 5.03

a) Construct a dot plot.

b) Construct a frequency distribution. Use 6 classes. The limits of the first class are 2.95-3.29.

c) Construct a frequency histogram.

d) Construct a box plot.

1.Two variables have a positive non-linear correlation. Does the dependent variable increase or decrease as the independent variable increases?

A. Dependent variable would remain the same

B. Dependent variable increases

C. Cannot determine from information given

D. Dependent variable decreases

2. What does the variable ρ represent?

A. The critical value for the correlation coefficient

B. The population correlation coefficient

C. The sample correlation coefficient

D. The coefficient of determination

3.If there is a ^, or hat, above a variable, what does that mean?

A. the value is an estimate

B. the value is the mean

C. the value is the standard deviation

D. the value is an outlier

4.A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use the regression equation to predict the value of y when x=119.

A. Meaningless result

B. -7.06

C. 21.40

D. 21.34

5.A data set whose original x values ranged from 137 through 150 was used to general a regression equation of ŷ=-4.5x + 51. Use the regression equation to predict the value of y when x=139.

A. Meaningless result

B. -574.5

C. -547.5

D. 574.5

6.A regression equation can have more than one ____________ .

A. Dependent variable

B. Coefficient of determination

C. Independent variable

D. Correlation coefficient

7.The equation used to predict how long a cold will last is ŷ=-1.8 + 0.09x1 + 3.2x2 – 1.9x3, where x1 is person’s temperature on the first day, x2 is number of people seen each day, and x3 is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 100.4 degrees, an average of 4 people seen each day, and 6 hours of sleep.

A. 8.6 days

B. 7.0 days

C. 12.3 days

D. 10.5 days

Describe Sampling and samling distributions in business statistics in 175 words please type response.

3. Use "MLB_Salaries" data in Chapter3.xlsx to answer the following questions. For questions that require Excel, include the appropriate output (copy + paste) along with an explanation. Data description: An article in The Wall Street Journal (July 11, 2008) outlined a number of reasons as to why the 16 teams in Major League Baseball’s National League (NL) are inferior to the 14 teams in the American League (AL). One reason for the imbalance pointed to the disparity in opening-day payrolls: the average AL payroll is greater than the NL average. A portion of the data showing opening-day payroll (in $) for each team is shown in the accompanying table. Questions: a. Discuss the mean and the median of AL and NL opening-day salaries and comment on skewness. b. Compare the range and the standard deviation of AL and NL opening-day salaries. c. Use these summary measures to comment on the findings in The Wall Street Journal.

(1 point) A recent report for a regional airline reported that the mean number of hours of flying time for its pilots is 66 hours per month. This mean was based on actual flying times for a sample of 49 pilots and the sample standard deviation was 8.5 hours.

2. Calculate a 99% confidence interval estimate of the population mean flying time for the pilots. Round your result to 4 decimal places.

( ,  )

3.Using the information given, what is the smallest sample size necessary to estimate the mean flying time with a margin of error of 1 hour and 99% confidence? Note: For consistency's sake, round your t* value to 3 decimal places before calculating the necessary sample size.

Choose n =

The R library faraway contains the pima dataset. We will fit a model with test as a response and bmi (only) as a predictor to see the relationship between the odds of a patient showing signs of diabetes and his/her bmi. The odds o and probability p are related by:

o = p/(1-p), p = o(1+o)

Using the GLM function:

a. Please estimate the amount of increase in the log(odds) when the bmi increases by 10.

b. Give a 95% CI for the estimate.

Minimum wage, Part I. Do a majority of US adults believe raising the minimum wage will help the economy, or is there a majority who do not believe this? A Rasmussen Reports survey of 1,000 US adults found that 42% believe it will help the economy.24 Conduct an appropriate hypothesis test to help answer the research question.

Medical Mutual Insurance investigates the cost of a routine visit to family physicians' offices in the Rochester, New York area. The following is a list of family doctors in the region. Physicians should be selected at random and establish communication with them to know the amount of their fees. The 39 doctors were coded from 00 to 38. It is also indicated if they have their own office (P), if they have a partner (S) or if they have a group practice (G).

The random numbers that were obtained are 31, 94, 43, 36, 03, 24, 17 and 09. With which doctors should communication be established? b. The sample must include every fifth doctor. The number 04 is selected as the starting point. With which doctors should contact be established? c. A sample should consist of two doctors with their own practice (P), two who have partners (S) and one with a group practice (G). What kind of sampling would you use here? Explain your procedure.

Question (statistics) (Data below) (to be done with EVIEWS)

Millions of investors buy mutual funds, choosing from thousands of possibilities. Some funds can be purchased directly from banks or other financial institutions (direct) whereas others must be purchased through brokers (broker), who charge a fee for this service. A group of researchers randomly sampled 50 annual returns from mutual funds that can be acquired directly and 50 from mutual funds that are bought through brokers and recorded their net annual returns (NAR, %), which are the returns on investment after deducting all relevant fees.1 These data are saved in the two columns of the a1.xlsx spreadsheet labelled as Purchase and NAR, respectively. Import these data to EViews.

(a) Are Purchase and NAR qualitative or quantitative variables? If they are qualitative, are they ranked or unranked? If they are quantitative, are they discrete or continuous? What are their levels of measurement? Explain your answers.

(b) Use EViews to obtain the basic descriptive statistics for NAR. Briefly describe what they tell you about the net annual returns from mutual funds.

(c) Using the relevant statistics from part (b), estimate with 90% confidence the mean net annual returns. What assumption do you have to make to perform this task?

(d) Using the relevant statistics from part (b), briefly evaluate whether the assumption needed for the confidence interval in (c) is likely violated.

(e) In general, we can conduct hypothesis tests on a population central location with EViews by performing the (one sample) t-test, the sign test or the Wilcoxon signed ranks test.2 Suppose we would like to know whether there is evidence at the 5% level of significance that the population central location of NAR is larger than 5%. Depending on your answer in part (d), which test(s) offered by EViews would be the most appropriate this time? Explain your answer by considering the conditions required by these tests.

(f) Perform the test you selected in part (e) above with EViews. Do not forget to specify the null and alternative hypotheses, to identify the test statistic, to make a statistical decision based on the p-value, and to draw an appropriate conclusion. If the test relies on normal approximation, also discuss whether this approximation is reasonable this time.

(g) Perform the other tests mentioned in part (e). Again, do not forget to specify the null and alternative hypotheses, to identify the test statistics, to make statistical decisions based on the p-values, and to draw appropriate conclusions. Also, if the tests rely on normal approximation, discuss whether these approximations are reasonable this time.

(h) Compare your answers in parts (f) and (g) to each other. Does it matter in this case whether the population of net returns is normally, or at least symmetrically distributed or not? Explain your answer.

Data

Do you have a favorite statistical method?

Is there a statistical method that you think you will/already use in your workplace? v

As part of its customer service program, United Airlines randomly selected 10 passengers from today's flight from Chicago to Tampa at nine in the morning. Each passenger in the sample will be interviewed in depth in relation to facilities, services, food, etc., at airports. To identify the sample, each passenger was given a number when boarding the ship. The numbers started with 001 and ended with 250. Select a random sample of ten passengers using systematic sampling. The first random number selected is 16. Mention the numbers with which you identify your systematic sample of size 10.

In a tennis match, the first serve percentage is a key statistic. Having an accurate (and fast) first serve is seen as an important advantage to winning a match. Let theta be the probability of getting the first serve in on any point in a tennis game. For each of the four situations below, give a prior distribution for theta, explaining each in a sentence. You may assume the winner is determined from the best of three sets, (so the first player to win two sets will win).

(a) The point is the first point of the match.

(b) It is the beginning of the second set and the server has won the first set.

(c) It is the beginning of the second set and the server has lost the first set.

(d) If the server wins the next point, they will win the match.

A random sample of 10 examination papers in a course, which was given or fail basis, showed the following scores. (PAPER NUMBERS) (GRADES) (STATUS) 1 85 Pass 2 87 fail 3 92 Pass 4 85 Fail 5 79 Pass 6 90 Pass 7 88 Fail 8 74 Pass 9 79 fail 10 91 pass 1. estimate the probability that the grade will be more than 85. 2. estimate the probability that the proportion of fail will be less than 0.65. 3. Estimate the 97% confidence interval for grade. 4. Estimate the interval of proportion for pass at the 98% confidence level.

Which are people more likely to do accidentally, put colored clothes in with the white clothes wash, or white clothes in with the colored clothes wash? Principia Martindale surveys 4800 people, and asks them to tell her over a month-long period how many items of mismatched clothes they put in their colored and white washes. She finds that on average people put 2.4 white clothes in with the colored wash (variance=4.1), and 4.8 colored clothes in with the white wash (variance=3.2). The sample distributions appear to be normally distributed. Do people put more whites in with coloreds, or more coloreds in with whites? one-sample z-test (single-sample z-test) repeated-measures t-test (i.e., dependent samples t-test) Independent-measures ANOVA Repeated-measures ANOVA (i.e., dependent samples ANOVA) two-way ANOVA