You want to rent an unfurnished one-bedroom apartment in Boston next year. The mean monthly rent for a random sample of 12 apartments advertised in the local newspaper is $1500. Assume that the standard deviation is $250. Find a 95% confidence interval for the mean monthly rent for unfurnished one-bedroom apartments available for rent in this community. (Round your answers to two decimal places.)

Step-by-step explanation:

We want to determine a 95% confidence interval for the mean monthly rent for unfurnished one-bedroom apartments available for rent in this community.

Number of sample, n = 12

Mean, u = $1500

Standard deviation, s = $250

For a confidence level of 95%, the corresponding z value is 1.96.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

1500 ± 1.96 × 250/√12

= 1500 ± 1.96 × 72.17

= 1500 ± 141.45

The lower end of the confidence interval is 1500 - 141.45 = 1358.55

The upper end of the confidence interval is 1500 + 141.45 = 1641.45

Therefore, with 95% confidence interval, the mean monthly rent for unfurnished one-bedroom apartments available for rent in this community is between $1358.55 and $1641.45

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: