Construct a 95% confidence interval for the mean number of books people read. (_,_)
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Q: FIND Za, FOR THE 94% /2 CONFIDENCE INTERVAL
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Construct a 95% confidence interval for the
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- The number of incorrect answers on a true-false competency test for a random sample of 13 students were recorded as follows: 2, 1, 3, 1, 3, 6, 0, 3, 3, 5, 2, 4,3 and Find (a) the mean; (b) the median; (c) the mode. Show word count 1 Previous NextA 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 14 books from the library, test her claim at a 0.05 level of significance. number of times checked out number of pages 27 371 12 348 28 375 390 13 277 1 321 27 342 30 299 33 272 32 401 33 295 32 417 27 400 41 402 The correlation coefficient: r= (round to 3 decimal places) The equation y=a+bx is: (round to 3 decimal places) y= The hypotheses are: Họ:p = 0 (no linear relationship) HA:P + 0 (linear relationship) (claim) Since a is 0.05 the critical value is -2.179 and 2.179 The test value is: (round to 3 decimal places) The p-value is: (round to 3 decimal places) The decision is to O reject Ho O do not reject Ho Thus the final conclusion sentence is O There is enough…If a school district takes a random sample of 71 Math SAT scores and finds that the average is 460, and knowing that the population standard deviation of Math SAT scores is intended to be 100. Find a 99% confidence interval for the mean math SAT score for this district. <μ<
- 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 12 books from the library, test her claim at a 0.10 level of significance. number of times checked out number of pages 22 239 38 265 46 379 5 369 31 319 11 275 21 270 27 341 35 308 9 350 46 434 25 314 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 0.10 the critical value is -1.813 and 1.813 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 H0H0 Thus the…Recall that a bank manager has developed a new system to reduce the time customers spend waiting to be served by tellers during peak business hours. The mean waiting time during peak business hours under the current system is roughly 9 to 10 minutes. The bank manager hopes that the new system will have a mean waiting time that is less than six minutes. The mean of the sample of 93 bank customer waiting times is 2-5.44. If we let udenote the mean of all possible bank customer waiting times using the new system and assume that o equals 2.44: (a) Calculate 95 percent and 99 percent confidence intervals for u. (Round your answers to 3 decimal places.) 95 percent confidence intervals for p is 99 percent confidence intervals for u in (b) Using the 95 percent confidence interval, can the bank manager be 95 percent confident that is less than six minutes? Explain. 95 percent intervalis 16 (c) Using the 99 percent confidence interval, can the bank manager be 99 percent confident that is less…suppose you have two numbers with variance 9. what is the range of the this set? (1,1.1.4)
- MP3s Two companies market new batteries targeted atowners of personal music players. DuraTunes claims a mean battery life of 11 hours, while RockReady adver-tises 12 hours. a) Explain why you would also like to know the standarddeviations of the battery lifespans before decidingwhich brand to buy.b) Suppose those standard deviations are 2 hours forDuraTunes and 1.5 hours for RockReady. You areheaded for 8 hours at the beach. Which battery is mostlikely to last all day? Explain.c) If your beach trip is all weekend, and you probablywill have the music on for 16 hours, which battery ismost likely to last? Explain.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 13 books from the library, test her claim at a 0.10 level of significance. number of times checked out number of pages 43 243 11 236 25 280 43 360 38 252 42 350 38 329 37 332 47 439 25 404 18 269 46 412 43 289 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 0.10 the critical value is -1.796 and 1.796 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 H0H0…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 0.10 level of significance. number of times checked out number of pages 17 336 19 360 36 417 23 295 21 363 19 347 28 345 37 349 23 236 33 300 27 359 46 340 34 283 21 412 20 225 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 0.10 the critical value is -1.771 and 1.771 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…
- Suppose that Felisha is a librarian, and she read in a scholarly journal that the number of words in children's picture books published since 1950 is normally distributed with a mean of 802.2 words and a standard deviation of 102.0 words. She wishes to construct a confidence interval for the mean number of words in all children's picture books published after 2010, in case the number has changed in recent years. Felisha took a random sample of 20 children's picture books published after 2010 and counted the number of words in all 20 books. Her data is presented in the stem-and-leaf plot. Felisha calculated the mean of her sample to be 773.0 words, and now she wants to calculate the margin of error of a 95% confidence interval for the mean number of words in all books published after 2010. She assumes that the number of words in children's picture books published after 2010 has the same normal distribution and same standard deviation as the general population of all books published…42. Show that in Example 4.4.7, page 153, the difference between the two candidates is statistically significant even at a confidence level of 99.7%.A random sample of 50 students at a large high school resulted in a 95 percent confidence interval for the mean number of hours of sleep per day of (6.73, 7.67). Suppose that the teacher hypothesizes that the mean number of hours of sleep per day for high school students is 6 hours. They are testing whether the mean number of hours is greater than 6. Which of the following statements are true? The researcher will conclude that the mean number of hours appears to be different from 6.0 hours. The researcher will fail to reject the null hypothesis at the 0.05 level. None of the above are true. The p-value for the test statistic will be larger than 0.05. More than one answer is true.