A study claims that all adults spend an average of 14 hours or more on chores during a weekend. A researcher wanted to check if this claim is true. A random sample of 200 adults taken by this researcher showed that these adults spend an average of 14.65 hours on chores during a weekend. The population standard deviation is known to be 3.0 hours. Test the hypothesis of part a using the critical-value approach and ?
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H0: μ = 14 (The average time spent on chores is 14 hours) H1: μ > 14 (The average time spent on chores is more than 14 hours) Show more…
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A study claims that all adults spend an average of 14 hours or more on chores during a weekend. A researcher wanted to check if this claim is true. A random sample of 200 adults taken by this researcher showed that these adults spend an average of $14.65$ hours on chores during a weekend. The population standard deviation is known to be $3.0$ hours. a. Find the $p$ -value for the hypothesis test with the alternative hypothesis that all adults spend more than 14 hours on chores during a weekend. Will you reject the null hypothesis at $\alpha=.01 ?$ b. Test the hypothesis of part a using the critical-value approach and $\alpha=.01$.
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