EspañolAn advertising firm wishes to demonstrate to potential clients the effectiveness of the advertising campaigns it has conducted. The firm is presenting data from8 recent campaigns, with the data indicating a correlation between advertising and sales. In particular, r= 0.59 for the variables cost of advertising campaignand resulting percentage increase in sales for the 8 campaigns.Using this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population correlationcoefficient p. (Assume that the two variables have a bivariate normal distribution.) Use the 0.05 level of significance, and perform a two-tailed test. Thencomplete the parts below.(If necessary, consult a list of formulas.)Aa(a) State the null hypothesis H and the alternative hypothesis H .Ho :0H :0D=0OSO(b) Determine the type of test statistic to use.Choose one) ▼O

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Answered: (a) State the null hypothesis H, and…

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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Assume that both populations are normally distributed. (a) Test whether u, # µ, at the a = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about u - H2. Population 1 Population 2 n 13 13 14.9 13.7 3.5 3.8
A Chicago-based firm has documents that must be quickly distributed between two delivery services, UPX and INTEX. The firm sends two copies of a report to a random sample of 16 of its district offices with one report carried by UPX and the other report carried by INTEX. Calculate the test statistic for a hypothesis test to show whether there is a significant difference between the two services at the 10 significance level. (Round the answer to two decimal places.) 1=16 d = 2.3 3=1.7 test statistic =
Answer part d
Scenario: Does amount of caffeine affect memory? This study was conducted using 30 participants who report they do not regularly consume caffeine. The researcher randomly assigned the participants to one of three conditions (none, moderate, or high caffeine) before completing a memory task. The memory task was quantified as number of items correctly recalled. Assume data meets all assumptions for a parametric test. Question: What is the null hypothesis for this scenario?
(a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the mean travel time via the 10 freeway, μ1 , is different from μ2 , the mean travel time via the 60 freeway? Yes No
The null hypothesis is H,: µ, = Hz and the alternative hypothesis is as specified. The provided data are from a simple random Observations from Pair Population 1 Population 2 paired sample from the two populations under consideration. Use the paired t-test to perform the required hypothesis test at the 10% significance level. 1 7 13 12 Ha: H1 # H2 3 9. 4 17 11 Click the icon to view the t-table. 5 1 12 13 7 10 7 Find the test statistic. Use population 1- population 2 as the difference. t=] (Round to three decimal places as needed.)
a researcher uses a sample of n=25 individuals to evaluate the effect of a treatment. the hypothesis test uses a=0.05 and produces a significant result with t=2.15. how would this result be reported in the literature?
A simple random sample of size n = 200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 119 responded that they did. Determine if more than half of all drivers drive a car made in this country at the a = 0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. Ho: 0.5 H4: 0.5 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.)
Consider the hypothesis test below. H 0: p 1 - p 2 <= 0H a: p 1 - p 2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 n 1 = 100 n 2 = 300 p 1 = 0.27 p 2 = 0.17 Use pooled estimator of p. What is the value of the test statistic (to 2 decimals)? What is the p-value (to 4 decimals)? Use z-table.
(a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.05 level, can it be concluded that the mean completion time under new management is less than the scheduled mean? Yes No
Observations from The null hypothesis is Ho: H1 = H, and the alternative hypothesis is as specified. The provided data are from a simple random paired sample from the two populations under consideration. Use the paired t-test to perform the required hypothesis test at the 10% significance level. Pair Population 1 Population 2 24 20 Hai Hy> H2 2 9 10 20 19 E Click the icon to view the t-table. 4. 13 8 5 8 14 14 7 10 15 8 22 28 Find the test statistic. Use population 1- population 2 as the difference. t=| (Round to three decimal places as needed.)
Aurora is conducting a one-sample ?z test of the null hypothesis ?0:?=0.12H0:p=0.12 against the alternative ??:?<0.12Ha:p<0.12, where ?p is the population proportion. She requires her results to be statistically significant at a level of ?=0.10α=0.10. She selects a random sample of size ?n = 200 and calculates the sample proportion, ?̂ p^ = 0.10. What is the value of the standardized test statistic and ?P-value of her test? Give ?z precise to two decimal places and the ?P-value precise to four decimal places.

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