ast study claimed that adults in America spent an average of 18 hours a week on leisure activities. A researcher wanted to test tt im. She took a sample of 10 adults and asked them about the time they spend per week on leisure activities. Their responses (in irs) are as follows. \[ \begin{array}{llllllllll} 12.2 & 14.4 & 21.8 & 22.3 & 20.9 & 32.7 & 14 & 14.6 & 20.2 & 20.9 \end{array} \] sume that the times spent on leisure activities by all adults are normally distributed. Using the \( 5 \% \) significance level, can you nclude that the average amount of time spent by American adults on leisure activities has changed? (Hint: First calculate the samp ean and the sample standard deviation for these data. Then make the test of hypothesis about \( \mu \).) ound the sample standard deviation to three decimal places.
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Given data: \[ 12.2, 14.4, 21.8, 22.3, 20.9, 32.7, 14, 14.6, 20.2, 20.9 \] \[ \bar{x} = \frac{12.2 + 14.4 + 21.8 + 22.3 + 20.9 + 32.7 + 14 + 14.6 + 20.2 + 20.9}{10} = \frac{193.0}{10} = 19.3 \] Show more…
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A past study claimed that adults in America spent an average of 18 hours a week on leisure activities. A researcher wanted to test this claim. She took a sample of 10 adults and asked them about the time they spend per week on leisure activities. Their responses (in hours) are as follows. 10.2 12.1 23.0 23.5 21.5 33.3 16 16.6 20.2 20.9 Assume that the times spent on leisure activities by all adults are normally distributed. Using the 5% significance level, can you conclude that the average amount of time spent by American adults on leisure activities has changed? (Hint: First calculate the sample mean and the sample standard deviation for these data. Then make the test of hypothesis about μ.) Round the sample standard deviation to three decimal places. The claim is
Jon S.
A past study claimed that adults in America spent an average of 18 hours a week on leisure activities. A researcher wanted to test this claim. She took a sample of 10 adults and asked them about the time they spend per week on leisure activities. Their responses (in hours) are as follows. 12.4 13.7 20.8 21.2 24.8 34.6 16 16.6 20.1 21.2 Assume that the times spent on leisure activities by all adults are normally distributed. Using the 5% significance level, can you conclude that the average amount of time spent by American adults on leisure activities has changed? (Hint: First calculate the sample mean and the sample standard deviation for these data. Then make the test of hypothesis about ) Round the sample standard deviation to three decimal places.
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(SR 6.11) In a study done by the National Collegiate Athletic Association, data provided by Illinois State University's volleyball team stated that the average amount of hours spent studying, training and doing community service led the nation. For all teams nationwide the distribution of these hours is normally distributed with a mean of 5,000 hours and a standard deviation of 750 hours. Which of these probability statements are correct for a randomly selected team? I. P(Average hours spent are between 3,500 and 6,500) = .95 II. P(Average hours spent are less than 5,500) = .25 III. P(Average hours spent are greater than 4,500) = .25
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