Suppose the time that it takes for a certain infection to be cured is Normally distributed1 day. The drug manufacturer advertises that itwith mean (in days) µ and standard deviation oworks in 5 days, on average, but measurements on a random sample of 200 patients gave a meaninfection time of ī = 5.2 days. Is this evidence that the mean time to be cured is actually more thanadvertised?(a) To answer this, test the following hypotheses at significance level a= 0.05.H,: µ= 5, Ha: µ> 5(b) In the context of this example, describe in words the meaning of type I and type II errors.

Name: Suppose the time that it takes for a certain infection to be cured is
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Suppose the time that it takes for a certain infection to be cured is Normally distributed1 day. The drug manufacturer advertises that itwith mean (in days) µ and standard deviation oworks in 5 days, on average, but measurements on a random sample o

Answered: (a) To answer this, test the following…

Math

Statistics

(a) To answer this, test the following hypotheses at significance level a= 0.05. Ho: µ= 5, Ha: µ>5 (b) In the context of this example, describe in words the meaning of type I and type II error

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Studies show that the level of anxiety has increased since the pandemic. The average score before the pandemic was mu equal to 10. A sample of 76 individuals surveyed in the past three months produced M=12.8 and s=6.7. Based on the sample, was there a significant increase in the average anxiety level since the pandemic started at the 5% significance level? What hypothesis test is this? (a)Chi-Square Test for Independence (b)One-Sample T-Test for Mean (c)One-Sample Z-Test for Mean (d)Two-Sample T-Test for Mean
You wish to test the following claim (H) at a significance level of a = 0.01. H.:p = 0.61 Ha:p + 0.61 You obtain a sample of sizen = 645 in which there are 424 successful observations. What is the critical value for this test? (Round answer to three decimal places.) critical value = ± %3D What is the test statistic for this sample? (Do not round in between steps. Round only at the end to three decimal places.) test statistic
You wish to test the following claim (Hå) at a significance level of a Ho: P₁ = P2 Ha: P₁ P2 0.005. You obtain 10.2% successes in a sample of size ni 518 from the first population. You obtain 15.2% successes in a sample of size n₂ 269 from the second population. Round values for X to the nearest whole number. What is the test statistic for this sample? (Round to three decimal places.) test statistic = What is the p-value for this sample? (Round to four decimal places.) p-value =
If you collect data from a random sample of 10 students and we would like test for statistical significance at the 0.05 level, what critical r value must be obtained? O .602 O.632 0.708 O .576
A marketing researcher would like to compare the mean amounts that men and women spend on Christmas gifts. Independent random samples were taken from each group. He would like to conduct a test to determine if women spend more on average. If the null hypothesis is Ho : µM - µf = 0, what is the alternative hypothesis? ge 2: ge 3: OH1 : µM – HF 0 4 OH1 : µM – HF # 0 Page 5: Next Page Dege 10of15
A test of Ho: H=0 versus H₁: >0 is performed using a significance level of a=0.05. The P-value is 0.07. Part: 0/3 Part 1 of 3 (a) Is Ho rejected? Since P Part: 1/3 Part 2 of 3 Part: 2/3 ▾a, we do not reject Ho at the a= 0.05 level. (b) If the true value of μ is 0, is the result a Type I error, a Type II error, or a correct decision? The result is a correct decision Part 3 of 3 X X S (c) If the true value of His 4, is the result a Type I error, a Type II error, or a correct decision? S Español
You wish to test the following claim (H) at a significance level of a = 0.001. H₂: P₁ = P2 Ha: P₁ P2 You obtain 61.9% successes in a sample of size ₁ = 423 from the first population. You obtain 53.1% successes in a sample of size n₂ = 531 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value= The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. The sample data…
A survey by the National Institutes of Health asked a random sample of young adults (aged 19 to 25 years), "Where do you live now? That is, where do you stay most often?" Given is Minitab output from a chi-square test. (omitting a few who refused to answer and one who reported being homeless). Chi-Squared Test: Female, Male Expected counts are printed below observed Which cell contributes most to the chi-square test counts Chi-Square contributions are printed below statistic? In what way does this cell differ from what we expected counts would expect if there is no association between gender and "where do you live now?" O The largest component comes from females who currently live in their parents' homes. This cell had the largest expected count. O The largest component comes from males who currently live in their parents' homes. There were more males living in their parents' homes than would have been expected. O The smallest component comes from males who currently live in "group"…
You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho: P1 = P2 Ha: P₁ P2 You obtain 690 successes in a sample of size ₁ = 755 from the first population. You obtain 529 successes in a sample of size n2 = 603 from the second population. What is the critical value for this test? (Round to three decimal places.) Critical value = What is the test statistic for this sample? (Round to three decimal places.) Test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... O reject the null O fail to reject the null As such, the final conclusion is that... O The sample data support the claim that the first population proportion is greater than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.