According to the Bureau of Labor Statistics, Americans spent on average $2,913 in 2016 on entertainment. Assume the population standard deviation of this spending is $897. A random sample of 28 adults was selected and was found to have an average spending of $2,700 on entertainment. Complete parts a and b. a. Does this sample provide support for the conclusions of the BLS poll? There is a .1020 chance of observing a sample mean as low as $2,700. This probability is not low enough (0.05) to contradict the findings of the poll. (Type an integer or decimal rounded to three decimal places as needed.) b. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $2,913 per month. (Type integers or decimals rounded to two decimal places as needed.)

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According to the Bureau of Labor Statistics, Americans spent on average $2,913 in 2016 on entertainment. Assume the population standard deviation of this spending is
$897. A random sample of 28 adults was selected and was found to have an average spending of $2,700 on entertainment. Complete parts a and b.
a. Does this sample provide support for the conclusions of the BLS poll?
There is a .1020 chance of observing a sample mean as low as $2,700. This probability is not low enough (0.05) to contradict the findings of the poll.
(Type an integer or decimal rounded to three decimal places as needed.)
b. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $2,913 per month.
(Type integers or decimals rounded to two decimal places as needed.)
Transcribed Image Text:According to the Bureau of Labor Statistics, Americans spent on average $2,913 in 2016 on entertainment. Assume the population standard deviation of this spending is $897. A random sample of 28 adults was selected and was found to have an average spending of $2,700 on entertainment. Complete parts a and b. a. Does this sample provide support for the conclusions of the BLS poll? There is a .1020 chance of observing a sample mean as low as $2,700. This probability is not low enough (0.05) to contradict the findings of the poll. (Type an integer or decimal rounded to three decimal places as needed.) b. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is $2,913 per month. (Type integers or decimals rounded to two decimal places as needed.)
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