9.5blue u1 n=50 x=4.42 s=0.53red u2 n=31 x=3.59 s=0.82 **Title: Investigating the Effects of Color on Creativity**Researchers conducted trials to evaluate how different background colors impact creativity. Participants with a red background were instructed to think of creative uses for a brick, while another group with a blue background received the same task. Judges scored the responses, and the creativity scores are detailed in a corresponding table. Higher scores indicate greater creativity. The study tests the hypothesis that "blue enhances performance on a creative task."Assumptions:- The samples are independent, drawn from normally distributed populations.- Population standard deviations are not assumed to be equal.**Tasks:**a. **Hypothesis Testing at a 0.01 Significance Level****Objective:** Test the claim that blue enhances creative performance.**Hypotheses:**- Null Hypothesis ($H_0$): $\mu_1 = \mu_2$ (mean scores are equal)- Alternative Hypothesis ($H_1$): $\mu_1 > \mu_2$ (mean score for blue is greater)**Test Statistic:**- The test statistic $t$ is calculated and should be rounded to two decimal places. (Specific value not provided in the image). **Statistical Analysis for Creative Task Performance:****1. P-value Assessment:**The P-value is ___ (Round to three decimal places as needed.)**Conclusion for Hypothesis Test:**- **A.** Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task.- **B.** Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task.- **C.** Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task.- **D.** Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task.**2. Constructing a Confidence Interval:**- **a.** Calculate the confidence interval suitable for testing the claim in part (a).- \[ p_1 - p_2 \] (Round to two decimal places as needed.)**Analysis of Confidence Interval:**- **b.** Evaluate what it is about the confidence interval that results in the same conclusion from part (a). The confidence interval contains ___, indicating there is (or is not) sufficient evidence to support the claim that blue enhances performance on a creative task.This guide will help students understand how to conduct a hypothesis test and interpret the results using P-values and confidence intervals, specifically looking at how color can influence creative task performance.

BackgroundnsBlue504.420.53Red313.590.82

Answered: Researchers conducted trials to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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C is for cabbage - A researcher wants to know if the head weight of the cabbage is a good predictor for ascorbic acid (vitamin C) content. From a random sample of 60 cabbages, the researcher recorded the ascorbic acid content in milligrams and the weight of the cabbage head in pounds. Head weight is the X variable and Ascorbic acid content is the Y variable in this scenario. R output Coefficients: Estimate Std. Error t value (Intercept) 77.574 HeadWeight -7.567 Pr(>ltl) < 2e-16 *** 9.75e-09 *** 3.096 25.052 1.131 -6.689 --- Residual standard error: 7.668 on 58 degrees of freedom Multiple R-squared: 0.4355, Adjusted R-squared: 0.4257 F-statistic: 44.74 on 1 and 58 DF, p-value: 9.753e-09 The equation of the estimated regression line written as Blank #1 Blank #2 + Blank #3 X. %3D Match what goes in the Blank #1, Blank #2 and Blank #3 in the equation above. 1. 77.574 2. 3.096 3. 25.052
If half of Allen's test score plus 8 equals 50. What did Allen score on his test? Let s, represent Allens score. s = 22 s = 84 s = 42
n=8,p=0.2,x<4
0.11 vnos
Plz complet answer
Exercise 9-22 Algo It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 37 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 111 feet. Assume that the population standard deviation is 21 feet. (You may find it useful to reference the appropriate table: z table or t table) a. State the null and the alternative hypotheses for the test O Hg: H - 120; HA: p + 120 O Hg: P z 120; HẠ: P 120 b. Calculate the value of the test statistic and the p-value. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic 5 of 12 ! Next > - search prt sc home 144 2$ & 6 9 T Y U enter F G J K L pause C V alt ctri
12. 1a CH=12 Lug er ャ x-2 x+3 14. 7. 9. 16. 3% x+5 5.
A good shipment of product has 3% defective and a bad shipment has 6% of defective.If 50 samples are inspected and the maximum accepted number of defective is 3 units. Determine the producer’s risk. A. 0.065 B. 0.987 C. 0.935 D. 0.353 Thanks
← The results of a survey on the belief that stem cell research has merit are shown in the table below. % X 1524 SEP 28 95% CI (0.7052, 0.7434) Here, X denotes the number who believed that stem cell research has merit. Complete parts a and b below. N 2104 a. Explain how to interpret "Sample p" and "95% CI" in this table. The "Sample p" is the proportion of all respondents in the sample who believe stem cell research has merit, 1524/2104 0.72. The "95% CI" is the 95% confidence interval and it means that we can be 95% confident that the interval 0.7052 to 0.7434 contains the population proportion. (Round to four decimal places as needed.) b. What is the 95% margin of error associated with the poll? The 95% margin of error is. (Round to four decimal places as needed.) F5 6 Sample p 0.724335 tv F6 Clear all & F7 Check answer Ndi 8 DIL 9 elp students like you learn core concep for 10 level of significance and two (0-65) (0-35) 1000 Chegg Study F9 A O

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