A marketing firm asked a random sample of people from a population how much they spend annually on oral hygiene products. The marketing firm then asked many other random samples of people from the same population the same question. The mean amount of each sample was computed, and then the mean of all the sample means was found to be $162.35. The standard deviation of all the sample means, or the standard error of the mean, was found to be $23.78. At a 95% confidence level, which values fall within the margin of error for the amount a person from the population spends annually on oral hygiene products? Select all that apply.

$128.30

$128.30,

$203.36

$203.36,

$112.73

$112.73,

$206.04

$206.04,

$107.88

$107.88,

$189.85

$189.85,

$210.92

$210.92,

$101.17

6 answers

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whats the answer then

To determine which values fall within the margin of error for the amount a person from the population spends annually on oral hygiene products, we need to use the formula for the margin of error:

Margin of Error = Critical Value * Standard Error

Since we want to find the values at a 95% confidence level, we need to find the critical value associated with that confidence level. For a 95% confidence level, the critical value is approximately 1.96.

Now we can calculate the margin of error:

Margin of Error = 1.96 * $23.78 = $46.69 (rounded to two decimal places)

To determine the values that fall within the margin of error, we need to add and subtract the margin of error from the mean:

$162.35 - $46.69 = $115.66 (rounded to two decimal places)

$162.35 + $46.69 = $209.04 (rounded to two decimal places)

Therefore, the values that fall within the margin of error for the amount a person from the population spends annually on oral hygiene products are:

$115.66 and $209.04

Select the options:

$128.30,

$203.36,

$112.73,

$206.04,

$107.88,

$189.85,

$210.92,

$101.17