a) There is sufficient evidence to support the claim that the mean waste recycle
ID: 2949394 • Letter: A
Question
a) There is sufficient evidence to support the claim that the mean waste recycled is more than 1 pound per person per day
b) There is not sufficient evidence to support the claim that the mean waste recycled is more than 1 pound per person per day
c)There is not sufficient evidence to support the claim that the mean waste recycled is less than 1 pound per person per day
d)There is sufficient evidence to support the claim that the mean waste recycled is less than 1 pound per person per day
An enviromentalist estmates that the mean waste recycled by adults in the country is more than 1 pound per person per day. You want to test this claim. You find that the mean waste recycled per person per day for a random sample of 10 adults in the country is 1.6 pounds and the standard deviation is 0.3 pound. At ?-0.10, can you support the clam? Assume the populaton is normally distributed. (a) Write the claim mathematically and identiy Ho and Ha Which of the following correctly states Ho and Ha? Ha : ?>1 Ha : ?>1 Ha : ?#1 Ha : ? (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical values), to? (Use a comma to separate answers as needed. Round to three decimal places as needed.) Which of the folowing graphs best depicts the rejection region for this problem? A. B. C. (c) Find the standardized test statistic. Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the nul hypothesis. O A. Fail to reject H0 because the standardized test statistic is not in the rejection region. O B. Reject Ho because the standardized test statistic is not in the rejection region. O C. Fail to reject Ho because the standardized test statistic is in the rejection region O D. Reject H0 because the standardized test statistc is in the reection region.Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
? : Mean of population
H0 : ? = 1
HA : ? > 1
Hypothesis test results:
Hence,
a) Hypotheses: Option B is correct.
b) Critical value = 1.383
Graph B is correct.
c) t = 6.32
d) Option D is correct.
e) Option A is correct.
Mean Sample Mean Std. Err. DF T-Stat P-value ? 1.6 0.09486833 9 6.3245553 <0.0001Related Questions
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