A simple random sample of 25 math students resulted in a mean IQ of 113.5 with a standard deviation of 12.5 Use a 0.05 significance level to test a claim that math students have a mean IQ greater than 110. [Note: Assume the population standard deviation is unknown.]
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- Justine is an analyst for a sleep study center. She believes that the average adult in a certain city spends more than 7.2 hours sleeping daily. To test this claim, she selects a random sample of 63 adults from the city. The following is the data from this study: The alternative hypothesis Ha:μ>7.2. The sample mean number of hours slept per night by the 63 adults is 7.52 hours. The sample standard deviation is 1.14 hours. The test statistic is calculated as 2.23. Using the information above and the portion of the t− table below, choose the correct p− value and interpretation for this hypothesis test. Values for right-tail areas under the t-distribution curve Probability 0.10 0.05 0.025 0.01 0.005 Degrees of Freedom 60 1.296 1.671 2.000 2.390 2.660 61 1.296 1.670 2.000 2.389 2.659 62 1.295 1.670 1.999 2.388 2.657 63 1.295 1.669 1.998 2.387 2.656 64 1.295 1.669 1.998 2.386 2.655 65 1.295 1.669 1.997 2.385 2.654 66 1.295 1.668 1.997 2.384 2.652…A random sample of 89 tourists in British Columbia showed that they spent an average of $2860 (in a week) with an assumed population standard deviation of $126; and a sample of 64 tourists in Alberta showed that they spent an average of $2935 (in a week) with an assumed population standard deviation of $138. We are interested in determining if there is any significant difference between the average expenditures of all the tourists who visited the two provinces.a. At a significance level of 0.05, are the two average expenditures significantly different? b. Calculate the 99% confidence interval and interpret your results?In a particular city, the average annual salary for secretaries is $28,000. A sample of 50 secretaries from Company A shows an average annual salary of $24,500 with a population standard deviation of $4500. Secretaries at Company A claim they are paid less than the city average. What is the test value for this claim?
- A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,722. Suppose that a random sample of 50 accounting graduates at a large university who received job offers resulted in a mean offer of $49,870 and a standard deviation of $3900. Do the sample data provide strong support for the claim that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722? Ho: μ = Ha: (Put in the correct symbol and value) ✓ Select an answer a not = P-value: = ↑ Based on the above we choose to Select an answer Question Help: Post to forum Submit QuestionThe College Board reports that the scores on the math SAT were normally distributed with a mean of 525. A random sample of 15 students at your high school had a mean of 550 and a sample standard deviation of 105. What values of the sample mean would lead to rejection of the null hypothesis at the 0.01 level of significance?"On the Standford-Binet test, the mean IQ is 100. A class of 13 kindergarten pupils were tested with a resulting mean of 94 and a standard deviation of 4.65. Does this group have a mean significantly different than the norm group? Use 0.01 as your level of significance. What are the given information? population mean:Blank 1 sample size:Blank 2 sample mean:Blank 3 sample standard deviation:Blank 4 level of significance:Blank 5 degrees of freedom: Blank 6 What are the critical values? Write the positive first then the negative t:Blank 7 andBlank 8 What is the value of the calculated t? Round your answer to the nearest hundredths. t:Blank 9"
- A study was conducted for an aviation safety agency in which they surveyed thousands of passengers at airports across Europe. In this study, the "mass" for a passenger includes the weight of the passenger and all of the passenger's carry-on items, including infants without their own seats. For the 5,904 adult male passengers measured in summer, the sample mean and standard deviation for this mass were 88.8 kg and 15.9 kg, respectively. (a) Construct a 95% confidence interval (in kilograms) for the population mean mass for adult male passengers in summer. (Round your answers to three decimal places.) ___to__ kg (b) Write a sentence or two interpreting the confidence interval you found in part (a). With 95% confidence, we can estimate that the population mean mass of male passengers traveling in the summer is contained within the interval. We can estimate that 95% of the male passengers traveling in the summer in the sample have a mass that is contained within the interval.…A sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To test this, the writer used 18 adult male volunteers. These volunteers were randomly divided into two groups of nine men each. Group 1 kicked a football that was filled with helium to the recommended pressure. Group 2 kicked a football that was filled with air to the recommended pressure. The mean yardage for Group 1 was ?¯1=300 yards with a standard deviation of ?1=8 yards. The mean yardage for Group 2 was ?¯2=296 yards with a standard deviation of ?2=6 yards. Assume the two groups of kicks are independent. Let ?1 and ?2 represent the mean yardage we would observe for the entire population represented by the volunteers if all members of this population kicked, respectively, a helium‑filled football and an air‑filled football. Assuming two‑sample ? procedures are safe to use and using Option 1 for the degrees of freedom, a 90% confidence interval for ?1−?2 is:…A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,722. Suppose that a random sample of 50 accounting graduates ata large university who received job offers resulted in a mean offer of $49.870 and a standard deviation of $3900, Do the sample data provide strong support for the claim that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722? Ho: = H: p Select an answerY (Put in the correct syimbol and value) P value Based on the above we choose to Select an answer
- Last year, the average amount that teams for the Statistics Games raised was $375. Have teams been more successful at fundraising this year? To find out, you take a random sample of 36 teams. Your sample of 36 teams yields a mean of $396 and a standard deviation of $70. Might you have made a Type 1 or Type 2 error? A Type 1. This means that we said that the mean amount raised had increased, when it was actually still $375. B You might have made a calculation error. C Neither- we're sure the average has increased. D Type 2. This would mean that we said there was not enough evidence to say the mean had increased from $375, when it actually is higher than $375. E Either kind is possible!"On the Standford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 109 and a standard deviation of 7.44. Does this group have a mean significantly different than the norm group? Use 0.01 as your level of significance. What are the given information? population mean:Blank 1 sample size:Blank 2 sample mean:Blank 3 sample standard deviation:Blank 4 level of significance:Blank 5 degrees of freedom:Blank 6 What are the critical values? Write the positive first then the negative t:Blank 7 andBlank 8 What is the value of the calculated t? Round your answer to the nearest hundredths. t:Blank 9"A special academic program for skilled students conduct an admission exam to select their new cohort. The admission exam is known to have a mean score of 66. An examiner thinks that the actual mean score for the most recent applicants is lower than 66. He randomly samples the scores of 18 recent applicants and obtains the average scores as 62.0 with a standard deviation of 8.7. He performs a hypothesis test using a 5% level of significance to reach an appropriate conclusion. a. Calculate the value of the the appropriate test statistic for this test. Answer rounded to at least 2 decimal places. b. Determine the tabulated critical value for this test. Only write the absolute value (without +/- sign) Answer rounded to at least 3 decimal places. c. Determine the p-value for this test. Answer in exact fraction, or rounded to at least 4 decimal places.