In a survey, 26 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $39 and standard deviation of $3. Construct a confidence interval at a 90% confidence level. Give your answers to one decimal place. 39 10 Interpret your confidence interval in the context of this problem.
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- Kaitlyn measures the upload speed in megabits per second of her home broadband internet connection during peak hours and off-peak hours. The results are provided in the accompanying table. Peak Off-Peak 5.83 5.14 6.05 6.80 7.14 6.98 3.54 5.77 5.45 7.27 5.90 6.62 5.81 6.19 4.82 6.08 6.37 6.59 4.65 5.58 5.30 7.41 6.48 6.26 5.96 6.37 5.79 6.31 6.84 6.55 5.06 4.95 5.61 7.03 6.45 6.77 Examine the results of Kaitlyn's test to determine the statements that compare the medians and interquartile ranges of the data sets to each other in terms of this situation. Select the two correct answers. The median upload speed during peak hours is 5.905 megabits per second, which is less than the median upload speed during off-peak hours, 7.005 megabits per second. The upload speeds during peak hours are slower on average compared to off-peak times. The median upload speed during peak hours is 6.37 megabits per second, which is greater than the median upload speed during…The Psychology Club is trying to submit their budget for the semester to the Office of Student Involvement. In order to continue to receive funding in future semesters, there needs to be close predictions between what is expected and what is actually observed. They request funds for four categories of promotional items based on 300 students who registered for the club. Use the data below and answer the questions. Shirts Hats Cups Stickers Observed 198 43 55 4 Expected 125 75 80 20 By hand, calculate a Chi-Square Goodness of Fit and submit your work to the assignments folder. a. What is the χ2obt? b. What is the df? c. What is the χ2crit? d. What is the effect size? Interpret. Using the Goodness of Fit calculator, confirm your calculations. e. What is the uncorrected χ2obt? f. Overall, interpret this goodness of fit test. Does it look like the Psychology Club officers did a good job of predicting the frequencies?A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1100 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. Identify the P-value. P=enter your response here (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim. ▼ Fail to reject Reject the null hypothesis. There ▼ is is not enough evidence to ▼ reject support the research center's claim.
- An auto maker is interested in information about how long transmissions last. A sample of transmissions are run constantly and the number of miles before the transmission fails is recorded. The auto maker claims that the transmissions can run constantly for over 150,000 miles before failure. The results of the sample are given below.The post-lunch dip is the drop in mental alertness after a midday meal. Does an extract of the leaves of the ginkgo tree reduce the post-lunch dip? Assign healthy people aged 18 to 40 to take either ginkgo extract or a placebo pill. After lunch, ask them to read seven pages of random letters and place an X over every e. Count the number of misses per line read. Here are the summaries of performance after 13 weeks of either gingko extract or placebo: Group Group size Mean Std. dev. Gingko 21 0.06383 0.01462 Placebo 18 0.05342 0.01549 Is there a significant difference between the two groups?A researcher expects that the number of people (18 years and older) who report binge drinking in the past month will be higher for Appleton WI residents as compared to the national rate, which is 25%. The researcher samples 100 residents from Appleton WI (age 18+) and finds that 36 of the 100 Appleton residents reported binge drinking in the past month. Using this data set answer the following questions: What is χ2obt? What is the df for this test? What is χ2CV? Based upon your answers to 1A and 1C, specify whether you would reject the null hypothesis or would fail to reject the null hypothesis. Then explain what could be concluded about binge drinking based upon this result. Report the result in APA format (you will need to use the correct symbols, spacing and italics).
- Here is another table based on the Titanic data; this provides survival information for male and female passengers. Saved Lost Men 338 1352 Women and children 247 322 Compute expected (E) values for each cell. Compute (O – E) for each cell. How many df does χ2 for this table have? Why?A manufacturer of floor polish conducted a consumer-preference experiment to determine which of five different floor polishes was the most appealing in appearance. A sample of 100 consumers viewed five patches of flooring that had each received one of the five polishes. Each consumer indicated the patch he or she preferred. The lighting and background were approximately the same for all patches. The results are given below. Solve the following using the p-value approach and solve using the classical approach. Polish A B C D E Total Frequency 24 19 13 21 23 100 (c) Complete the hypothesis test using a = 0.10.(i) Find the test statistic. (Round your answer to two decimal places.)(ii) Find the p-value. (Round your answer to four decimal places.)The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠ 0 at a = .05? (Give your answers correct to three decimal places.) Population 10 2.3 1.4 6 2.7 6 1.9 1.7 2.1 6.7 Crime Rate 12.4 6.7 7.8 7.4 8 7 8.9 9.1 8 7.7 (a) Calculate r.(ii) Calculate the critical region. (smaller value) (larger value)
- Have you ever been frustrated because you could not get a container of some sort to release the last bit of its contents? An article reported on an investigation of this issue for various consumer products. Suppose five 6.0 oz tubes of toothpaste of a particular brand are randomly selected and squeezed until no more toothpaste will come out. Then each tube is cut open and the amount remaining is weighed, resulting in the following data: 0.53, 0.64, 0.41, 0.5, 0.35. Does it appear that the true average amount left is less than 10% of the advertised net contents?Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)t= P-value =A manufacturer of floor polish conducted a consumer-preference experiment to determine which of five different floor polishes was the most appealing in appearance. A sample of 100 consumers viewed five patches of flooring that had each received one of the five polishes. Each consumer indicated the patch he or she preferred. The lighting and background were approximately the same for all patches. The results are given below. Solve the following using the p-value approach and solve using the classical approach. Polish A B C D E Total Frequency 26 16 14 20 24 100 (a) State the hypothesis for "no preference" in statistical terminology. H0: P(A) + P(B) + P(C) + P(D) + P(E) = 1H0: P(x) = P(y) for some x and y H0: P(A) ≠ P(B) ≠ P(C) ≠ P(D) ≠ P(E)H0: P(A) = P(B) = P(C) = P(D) = P(E) = 0.2 (b) What test statistic will be used in testing this null hypothesis? p? ?2tz (c) Complete the hypothesis test using ? = 0.10.(i) Find the test statistic. (Round your answer to two decimal…Q9. An industrial psychologist is investigating the effects of different types of motivation on the performance of simulated clerical tasks. The 10 participants in the "individual molivation" sample are told that they will be rewarded accoording to how many tasks they successtully complete. The 10 participauts in the "grup motivation" sample are told that they will be rewarded according \( t \) the average number of tasks completed by all the particapants in their sample. The number of tasks completed by each participant are as follows: Individual Motivation: \( 11,17,14,10,11,15,10,8,12,15 \) Group Mativation: \( 10,15,14,8,9,14,6,7,11,13 \) a. perform a poosed-variances \( + \) test. can you regect the null hypothesis at the \( .05 \) level?