A random sample of 10 secretaries was asked to type a certain memorandum using both computers and typewriters, and the time required to finish the task was recorded for each secretary. A test of hypothesis will be conducted to determine if there is enough evidence to conclude that the average time required to type a certain memorandum is faster if female secretaries are using computers rather than typewriters using a 5% level of significance. What is the appropriate null hypothesis? a)The average time required to type a certain memorandum is less than or equal to if female secretaries are using computers rather than typewriters. b)The average time required to type a certain memorandum is lesser if female secretaries are using computers rather than typewriters. c)The average time required to type a certain memorandum is greater if female secretaries are using computers rather than typewriters. d)The average time required to type a certain memorandum is different if female secretaries are using computers rather than typewriters

A random sample of 10 secretaries was asked to type a certain memorandum using both computers and typewriters, and the time required to finish the task was recorded for each secretary. A test of hypothesis will be conducted to determine if there is enough evidence to conclude that the average time required to type a certain memorandum is faster if female secretaries are using computers rather than typewriters using a 5% level of significance. What is the appropriate null hypothesis? a)The average time required to type a certain memorandum is less than or equal to if female secretaries are using computers rather than typewriters. b)The average time required to type a certain memorandum is lesser if female secretaries are using computers rather than typewriters. c)The average time required to type a certain memorandum is greater if female secretaries are using computers rather than typewriters. d)The average time required to type a certain memorandum is different if female secretaries are using computers rather than typewriters

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

In a company, the director of Human Resources human wishes determine statistically whether there is a relationship between the gender of employees and smoking habits, a sample is selected random obtaining the following results:a) State the null hypothesis and the alternative hypothesisb) Check the independence of the variables with a level ofsignificance of 5%.
A concerned group of citizens wanted to know if the proportion of armed robberies in Texas was different in 2011 than in 2010. Their research showed that of the 113,231 violent crimes in Texas in 2010, 7,622 of them were armed robberies. In 2011, 7,439 of the 104,873 violent crimes were in the armed robbery category. Test at a 5% significance level.a) The null and alternative hypothesis would be: �0:�2010=�2011�1:�2010≠�2011 �0:�2010=�2011�1:�2010<�2011 �0:�2010=�2011�1:�2010≠�2011 �0:�2010=�2011�1:�2010>�2011 �0:�2010=�2011�1:�2010>�2011 �0:�2010=�2011�1:�2010<�2011 b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p = d) Make a decision. Fail to reject the null hypothesis Reject the null hypothesis e) Write the conclusion. There is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010. There is sufficient evidence to support the claim that the…
A student wants to see if the number of times a book has been checked out of the library in the past year and the number of pages in the book are related. She guesses that the number of times a book has been checked out of the library in the past year will be a predictor of the number of pages it has. She randomly sampled 15 books from the library, test her claim at a 0.05 level of significance. number of times checked out number of pages 13 223 45 350 49 377 30 371 3 343 7 280 17 218 7 265 20 382 23 287 1 313 30 388 20 358 2 311 40 421 The correlation coefficient: r= (round to 3 decimal places) The equation y=a+bx is: (round to 3 decimal places) y=+ x The hypotheses are: H0:ρ=0H0:ρ=0 (no linear relationship)HA:ρ≠0HA:ρ≠0 (linear relationship) (claim) Since αα is 0.05 the critical value is -2.16 and 2.16 The test value is: (round to 3 decimal places) The p-value is: (round to 3 decimal places) The decision is to reject H0H0 do not reject…
Christine, a researcher in psychology and biobehavioral health, believes that city residents and residents of rural areas differ in how appealing they find owning a cat. A random sample of 109 people who live in San Antonio were surveyed and 59 identified themselves as a "cat person." A random sample of 108 people who live in the surrounding rural area were selected and 72 identified themselves as a "cat person." Conduct an appropriate hypothesis test at the a = 0.1 significance level to test Christine's claim. Round answers to 4 decimal places where appropriate. a. State the null and alternative hypotheses. Ho: p. H₁: p. b. What is the appropriate distribution to use for the hypothesis test? Z (Normal) c. Find the test statistic. Test Statistic: -1.9593 X d. Determine the P-value: op. P-value: 0.0501 X O p.
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1434 referee calls, with the result that 417 of the calls were overturned. Women challenged 743 referee calls, and 217 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. H1: P1 # P2 H1:P1 = P2 H1:P1
To test the fairness of law enforcement in its area, a local citizens’ group wants to know whether women and men are unequally likely to get speeding tickets. Three hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a 0.02 level of significance, test the claim of the citizens’ group. Let men be Population 1 and let women be Population 2. Ticketed Not Ticketed Men 14 165 Women 22 99 Step 1 of 3: State the null and alternative hypotheses for the test Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
Xu and Garcia (2008)conducted a research study demonstrating that 8-month-old infants appear to recognize which samples are likely to be obtained from a population and which are not. In the study, the infants watched as a sample of n = 5 ping-pong balls was selected from a large box. In one condition, the sample consisted of 1 red ball and 4 white balls. After the sample was selected, the front panel of the box was removed to reveal the contents. In the expected condition, the box contained primarily white balls like the sample, and the infants looked at it for an average of M = 7.5 seconds. In the unexpected condition, the box had primarily red balls, unlike the sample, and the infants looked at it for M = 9.9. The researchers interpreted the results as demonstrating that the infants found the unexpected result surprising and, therefore, more interesting than the expected result. Assuming that the standard error for both means is σM = 1 second, draw a bar graph showing the two sample…
A survey of 200 people was taken to determine whether distance from voting center was related to the likelihood of voting. Based on these results, does it appear that these two variables are related at the 10% level of significance?