A past study claimed that adults in America spent an average of 18 hours a week...
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.
| 12.0 | 13.3 | 22.6 | 22.9 | 22.5 | 33.1 | 16 | 17.2 | 20.1 | 20.3 |
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.
x¯=
s=
Homework Answers
The statistical software output for this problem is :
Summary statistics:
| Column | Mean | Std. dev. |
|---|---|---|
| Data | 20 | 6.0171976 |
x bar = 20
s = 6.017
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A past study claimed that adults in America spent an average of
18 hours a week...
A past study claimed that adults in America spent an average of 18 hours a week...
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. 11.1 12.7 20.8 20.9 23.3 33.9 17 17.9 20.2 21.2 Assume that the times spent on leisure activities by all adults are normally distributed. Using the 5%...
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The number of hours spent per week on household chores by all adults has a mean of 26.4 hours and a standard deviation of 6.9 hours. The probability, rounded to four decimal places, that the mean number of hours spent per week on household chores by a sample of 60 adults will be more than 26.75 is?
The number of hours spent per week on household chores by all adults has a mean...
The number of hours spent per week on household chores by all adults has a mean of 26.4 hours and a standard deviation of 6.9 hours. The probability, rounded to four decimal places, that the mean number of hours spent per week on household chores by a sample of 60 adults will be more than 26.75 is:
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The number of hours spent per week on household chores by all adults has a mean of 26.0 hours and a standard deviation of 6.5 hours. The probability, rounded to four decimal places, that the mean number of hours spent per week on household chores by a sample of 57 adults will be more than 26.75 is: 8082 the absolute tolerance is +-0.0001
Question 5 An carlier study claimed that U.S adults spent an average of 114 minutes per...
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A researcher wished to compare the average amount of time spent in extracurricular activities by high...
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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. 11.1 12.7 20.8 20.9 23.3 33.9 17 17.9 20.2 21.2 Assume that the times spent on leisure activities by all adults are normally distributed. Using the 5%...
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Question 5 An carlier study claimed that U.S adults spent an average of 114 minutes per day with their family. A recently raken sample of 25 adults from a city show'eod that they spend an average of 109 minutes per day with their family, Ihe population deviation is I1 minutes. Assume that the times spent by adults with their families have an approximate normal distribution Using a 1% significance level test whether the mean time spent currently by all adults...
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