Business Analytics
3rd Edition
ISBN: 9780135231715
Author: Evans
Publisher: PEARSON
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Chapter 4, Problem 25PE
In the Excel file Facebook Survey, find the
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A researcher wishes to estimate, with 90% confidence, the population proportion of adults who support labeling
legislation for genetically modified organisms (GMOs). Her estimate must be accurate within 4% of the true proportion.
(a) No preliminary estimate is available. Find the minimum sample size needed.
(b) Find the minimum sample size needed, using a prior study that found that 65% of the respondents said they support
labeling legislation for GMOs.
(c) Compare the results from parts (a) and (b).
...
(a) What is the minimum sample size needed assuming that no prior information is available?
n =
(Round up to the nearest whole number as needed.)
The table available below shows the costs per mile (in cents) for a sample of automobiles. At a = 0.05, can you conclude that at least one mean
cost per mile is different from the others?
Click on the icon to view the data table.
Let Hss, HMS, HLS, Hsuv and Hмy represent the mean costs per mile for small sedans, medium sedans, large sedans, SUV 4WDs, and minivans
respectively. What are the hypotheses for this test?
OA. Ho: Not all the means are equal.
Ha Hss HMS HLS HSUV HMV
B. Ho Hss HMS HLS HSUV = μMV
Ha: Hss *HMS *HLS*HSUV * HMV
C. Ho Hss HMS HLS HSUV =μMV
= =
H: Not all the means are equal.
D. Ho Hss HMS
HLS HSUV HMV
Ha Hss HMS
HLS =HSUV = HMV
Question: A company launches two different marketing campaigns to promote the same product in two different regions. After one month, the company collects the sales data (in units sold) from both regions to compare the effectiveness of the campaigns.
The company wants to determine whether there is a significant difference in the mean sales between the two regions. Perform a two sample T-test
You can provide your answer by inserting a text box and the answer must include:
Null hypothesis,
Alternative hypothesis,
Show answer (output table/summary table), and
Conclusion based on the P value.
(2 points = 0.5 x 4 Answers)
Each of these is worth 0.5 points. However, showing the calculation is must. If calculation is missing, the whole answer won't get any credit.
Chapter 4 Solutions
Business Analytics
Ch. 4 - Prob. 1PECh. 4 - Classify each of the data elements in the Sales...Ch. 4 - Identify each of the variables in the Excel file...Ch. 4 - Classify each of the variables in the Excel file...Ch. 4 - Use the COUNTIF function to construct a frequency...Ch. 4 - A community health status survey obtained the...Ch. 4 - Construct frequency distributions and histograms...Ch. 4 - Use the Histogram tool to develop a frequency...Ch. 4 - Prob. 12PECh. 4 - Use a PivotTable to construct a frequency...
Ch. 4 - Prob. 14PECh. 4 - Find the 20thand80th percentiles of home prices in...Ch. 4 - Find the 10thand90th percentiles and the first and...Ch. 4 - Prob. 18PECh. 4 - Find the first, second, and third quartiles for...Ch. 4 - Prob. 20PECh. 4 - Prob. 21PECh. 4 - Find the mean, median, and midrange for the data...Ch. 4 - In the Excel file Facebook Survey, find the mean,...Ch. 4 - Considering the data in the Excel file Home Market...Ch. 4 - Considering the data in the Excel file Home Market...Ch. 4 - In the Excel file Facebook Survey, find the range,...Ch. 4 - For the Excel file Tablet Computer Sales, find the...Ch. 4 - The Excel file Atlanta Airline Data provides...Ch. 4 - Compute the coefficient of variation for each...Ch. 4 - Find 30 days of stock prices for three companies...Ch. 4 - Apply the Descriptive Statistics tool for subsets...Ch. 4 - Use the Descriptive Statistics tool to summarize...Ch. 4 - Prob. 39PECh. 4 - Prob. 42PECh. 4 - Prob. 43PECh. 4 - Prob. 44PECh. 4 - Prob. 45PECh. 4 - In the Excel file Bicycle Inventory, find the...Ch. 4 - Prob. 48PECh. 4 - Prob. 49PECh. 4 - Prob. 50PECh. 4 - Prob. 51PECh. 4 - Prob. 52PECh. 4 - Prob. 55PECh. 4 - Prob. 56PECh. 4 - Prob. 57PECh. 4 - Prob. 58PECh. 4 - Prob. 59PECh. 4 - In the Excel file Weddings, determine the...Ch. 4 - Prob. 61PECh. 4 - Prob. 62PECh. 4 - For the Presidents Inn Guest Database, find the...Ch. 4 - For the Excel file Credit Risk Data, compute the...Ch. 4 - Compute the z-scores for the data in the Excel...Ch. 4 - Prob. 67PECh. 4 - Prob. 68PECh. 4 - Prob. 70PECh. 4 - Prob. 71PECh. 4 - Prob. 73PECh. 4 - Prob. 74PECh. 4 - Prob. 75PE
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- Binomial Prob. Question: A new teaching method claims to improve student engagement. A survey reveals that 60% of students find this method engaging. If 15 students are randomly selected, what is the probability that: a) Exactly 9 students find the method engaging?b) At least 7 students find the method engaging? (2 points = 1 x 2 answers) Provide answers in the yellow cellsarrow_forwardIn a survey of 2273 adults, 739 say they believe in UFOS. Construct a 95% confidence interval for the population proportion of adults who believe in UFOs. A 95% confidence interval for the population proportion is ( ☐, ☐ ). (Round to three decimal places as needed.)arrow_forwardFind the minimum sample size n needed to estimate μ for the given values of c, σ, and E. C=0.98, σ 6.7, and E = 2 Assume that a preliminary sample has at least 30 members. n = (Round up to the nearest whole number.)arrow_forward
- In a survey of 2193 adults in a recent year, 1233 say they have made a New Year's resolution. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. The 90% confidence interval for the population proportion p is (Round to three decimal places as needed.) J.D) .arrow_forwardLet p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 1143 adults from country A, 317 said that they were not confident that the food they eat in country A is safe. The point estimate for p, p, is (Round to three decimal places as needed.) ...arrow_forward(c) Because logistic regression predicts probabilities of outcomes, observations used to build a logistic regression model need not be independent. A. false: all observations must be independent B. true C. false: only observations with the same outcome need to be independent I ANSWERED: A. false: all observations must be independent. (This was marked wrong but I have no idea why. Isn't this a basic assumption of logistic regression)arrow_forward
- Business discussarrow_forwardSpam filters are built on principles similar to those used in logistic regression. We fit a probability that each message is spam or not spam. We have several variables for each email. Here are a few: to_multiple=1 if there are multiple recipients, winner=1 if the word 'winner' appears in the subject line, format=1 if the email is poorly formatted, re_subj=1 if "re" appears in the subject line. A logistic model was fit to a dataset with the following output: Estimate SE Z Pr(>|Z|) (Intercept) -0.8161 0.086 -9.4895 0 to_multiple -2.5651 0.3052 -8.4047 0 winner 1.5801 0.3156 5.0067 0 format -0.1528 0.1136 -1.3451 0.1786 re_subj -2.8401 0.363 -7.824 0 (a) Write down the model using the coefficients from the model fit.log_odds(spam) = -0.8161 + -2.5651 + to_multiple + 1.5801 winner + -0.1528 format + -2.8401 re_subj(b) Suppose we have an observation where to_multiple=0, winner=1, format=0, and re_subj=0. What is the predicted probability that this message is spam?…arrow_forwardConsider an event X comprised of three outcomes whose probabilities are 9/18, 1/18,and 6/18. Compute the probability of the complement of the event. Question content area bottom Part 1 A.1/2 B.2/18 C.16/18 D.16/3arrow_forward
- John and Mike were offered mints. What is the probability that at least John or Mike would respond favorably? (Hint: Use the classical definition.) Question content area bottom Part 1 A.1/2 B.3/4 C.1/8 D.3/8arrow_forwardThe details of the clock sales at a supermarket for the past 6 weeks are shown in the table below. The time series appears to be relatively stable, without trend, seasonal, or cyclical effects. The simple moving average value of k is set at 2. What is the simple moving average root mean square error? Round to two decimal places. Week Units sold 1 88 2 44 3 54 4 65 5 72 6 85 Question content area bottom Part 1 A. 207.13 B. 20.12 C. 14.39 D. 0.21arrow_forwardThe details of the clock sales at a supermarket for the past 6 weeks are shown in the table below. The time series appears to be relatively stable, without trend, seasonal, or cyclical effects. The simple moving average value of k is set at 2. If the smoothing constant is assumed to be 0.7, and setting F1 and F2=A1, what is the exponential smoothing sales forecast for week 7? Round to the nearest whole number. Week Units sold 1 88 2 44 3 54 4 65 5 72 6 85 Question content area bottom Part 1 A. 80 clocks B. 60 clocks C. 70 clocks D. 50 clocksarrow_forward
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