Jason is planning to replace carpet in the utility room of his house the length of the room is 8 feet and the width of the room
1 answer:
Given Information:
Length of room = l = 8 feet
Width of room = w = 7 feet
Required Information:
Amount of carpet = ?
Answer:
Amount of carpet = 56 ft²
Step-by-step explanation:
Jason wants to replace the carpet in the utility room of his house.
We are given the dimensions of the room and we are asked to find the required amount of carpet in square feet.
The required amount of carpet is given by
where w is the width of room and l is the length of the room.
Therefore, Jason need 56 square feet of carpet for the utility room.
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Answer:
The 90% confidence interval for the difference between proportions is (-0.260, -0.165).
Step-by-step explanation:
<em>The question is incomplete. The complete question is:</em>
<em>"A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?” Results from a random sample of US citizens showed that </em><em>318 of the 520 men </em><em>who were surveyed supported this proposed law while </em><em>379 of the 460 women </em><em>sampled said ‘‘yes”. Use this information to find a </em><em>90% confidence interval</em><em> for the difference in the two proportions, </em><em>pm - pw.</em><em> </em><em>Subscript pm</em><em> is the proportion of men who support the proposed law and </em><em>pw</em><em> is the proportion of women who support the proposed law. (Round answers to 3 decimal places.)"</em>
We want to calculate the bounds of a 90% confidence interval.
For a 90% CI, the critical value for z is z=1.645.
The sample of men, of size nm=-0.26 has a proportion of pm=0.612.
The sample 2, of size nw= has a proportion of pw=0.824.
The difference between proportions is (pm-pw)=-0.212.
The pooled proportion, needed to calculate the standard error, is:
The estimated standard error of the difference between means is computed using the formula:
Then, the margin of error is:
Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the difference between proportions is (-0.260, -0.165).