= 25, taken from a 5, 9.35 A random sample of size n1 = normal population with a standard deviation ơ1 = has a mean ĩi = 80. A second random sample of size = 36, taken from a different normal population with a standard deviation ơ2 = 3, has a mean 2 a 94% confidence interval for µi – µ2. n2 75. Find
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- Currently patrons at the library speak at an average of 61 decibels. Will this average increase after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 48 people speaking at the library. Their average decibel level was 66.5 and their standard deviation was 20. What can be concluded at the the α= 0.10 level of significance? a. The test statistic = (please show your answer to 3 decimal places.) b. The p-value = (Please show your answer to 4 decimal places.)Many people believe that the average number of Facebook friends is 125. The population standard deviation is 36.8. A random sample of 49 high school students in a particular county revealed that the average number of Facebook friends was 146. At =α0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 125? State the hypotheses and identify the claim with the correct hypothesis. :H0 ▼= :H1 ▼= This hypotheses test is a one tailed or two tailed test z score critical value(s) reject or accept this hypothesis is there enough evidence to support the claimDoes it take less time for seeds to germinate if they are near rock music that is continuously playing compared to being near classical music? The 41 seeds that were exposed to rock music took an average of 20 days to germinate. The standard deviation was 13 days. The 53 seeds that were exposed to classical music took an average of 23 days to germinate. The standard deviation for these seeds was 7 days. What can be concluded at the αα = 0.05 level of significance? The test statistic t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
- 11% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 344 people from the inner city surveyed, 34 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.01? The test statistic= (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 40 drivers over the age of 60 and finds that the mean number of miles driven is 22.7. The population standard deviation is 2.9 miles. At =α0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. State the hypotheses and identify the claim with the correct hypothesis.Currently patrons at the library speak at an average of 61 decibels. Will this average increase after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 57 people speaking at the library. Their average decibel level was 63.8 and their standard deviation was 9. What can be concluded at the the αα = 0.10 level of significance?
- Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At=α0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. State the hypotheses and identify the claim with the correct hypothesis. :H0 =μ24 ▼not claim :H1 <μ24 ▼claim the hypothesis test is a ▼one-tailed test. Part 2 of 5 Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):The braking ability was compared for two car models. Random samples of two cars were selected. The first random sample of size 64 cars yield a mean of 36 and a standard deviation of 8. The second sample of size 64 yield a sample mean of 33 and a standard deviation of 8. Do the data provide sufficient evidence to indicate a difference between the mean stopping distances for the two models? Use Alpha= 0.01. Ho: µ1 – µ2 = 0 vs. Ha: µ1 – µ2 + 0 .p-value = 0.0017. Reject Ho Но: Д, — м2 — 0 vs. Ha:M1 — M2 + 0. p-value — 0.034. Ассеpt Ho O Ho:µ1 – Hz Но: И — 2 — 0 vs. Ha:M, — нz + 0. p-value —D 0.0017. Ассept Ho Ho: H1 – U2 = 0 vs. Ha: µ1 – µ2 + 0. p-value = 0.034. Reject HoAn article reports that in a sample of 9 men, the average volume of femoral cartilage (located in the knee) was 18.7 cm3 with a standard deviation of 3.3 cm3 and the average volume in a sample of 9 women was 11.2 cm3 with a standard deviation of 2.4 cm2. Let μXμX represent the population mean for men and let μYμY represent the population mean for women. Find a 95% confidence interval for the difference μX−μYμX−μY . Round down the degrees of freedom to the nearest integer and round the answers to three decimal places. The 95% confidence interval is