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Chapter 8: Q.90 (page 483)

Fill in the blanks on the graph with the areas, upper and lower limits of the confidence interval, and the sample

proportion.

Short Answer

Expert verified

on the graph with the areas, upper and lower limits of the confidence interval, and the sample

proportion.

Step by step solution

01

Given Information

on the graph with the areas, upper and lower limits of the confidence interval, and the sample

proportion.

02

Calculation

The 92% confidence level is CL = 0.92

The area under each tail is a/2 = 0.04

The 92 percent confidence interval is calculated as follows: (0.7217,0.8783)

The sample fraction of girls aged 8 to 12 at the start of ice skating instruction at the ice chalet at 0.8

p' = 0.8

03

Explanation

The values are then entered into the supplied figure blank.

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Most popular questions from this chapter

A sample of 16small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was two ounces with a standard deviation of 0.12ounces. The population standard deviation is known to be 0.1ounce.

a.

i.x炉=________ii.蟽=________iii.sx=________

b. In words, define the random variable X.

c. In words, define the random variable X炉.

d. Which distribution should you use for this problem? Explain your choice.

e. Construct a 90%confidence interval for the population mean weight of the candies.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

f. Construct a 98%confidence interval for the population mean weight of the candies.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

g. In complete sentences, explain why the confidence interval in part fis larger than the confidence interval in part e.

h. In complete sentences, give an interpretation of what the interval in part fmeans.

State the estimated distribution of P鈥�.Construct a 92%Confidence Interval for the true proportion of girls in the ages 8to12beginning ice-skating classes at the Ice Chalet.

The average height of young adult males has a normal distribution with a standard deviation of 2.5 inches. You want to estimate the mean height of students at your college or university to within one inch with 93 per cent confidence. How many male students must you measure?

An article regarding interracial dating and marriage recently appeared in the Washington Post. Of the 1,709randomly selected adults, 315identified themselves as Latinos, 323identified themselves as blacks, 254identified themselves as Asians, and 779identified themselves as whites. In this survey, 86%of blacks said that they would welcome a white person into their families. Among Asians, 77%would welcome a white person into their families, 71%would welcome a Latino, and 66%would welcome a black person.

a. We are interested in finding the 95%confidence interval for the percent of all black adults who would welcome a white person into their families. Define the random variables Xand P', in words.

b. Which distribution should you use for this problem? Explain your choice.

c. Construct a 95%confidence interval.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

Define the random variablesX andx{"x":[[179,180,181,183,186,189,193,196,198,200,202,204,205,207,208,210,211,212,213,214,214,215,215,215,215,215,215,214,212,211,209,207,206,204,203,201,199,198,197,195,194,193,192,191],[226,225,224,221,219,218,217,215,214,213,213,212,212,211,211,211,211,211,211,212,213,214,216,217,220,223,225,227,229,232,233,235,236,238,239,240,241,242,242,243],[164,165,168,176,181,187,192,197,202,205,207,212,215,216,218,219,220,221,222]],"y":[[101,100,100,99,97,96,96,96,96,96,96,97,98,100,100,102,104,105,107,108,109,111,112,113,115,117,119,121,123,124,125,127,127,128,128,129,129,129,129,129,129,129,128,128],[88,89,90,93,95,97,98,100,101,103,104,104,105,107,108,109,110,111,113,114,114,115,116,118,119,120,121,121,121,121,121,121,121,121,120,120,120,120,119,119],[84,84,83,81,80,78,77,77,76,76,75,75,74,73,73,73,72,72,72]],"t":[[0,334,339,357,374,390,408,424,440,457,473,490,506,523,540,557,574,590,606,623,640,657,675,689,706,724,740,756,774,789,806,823,840,857,873,890,907,923,940,957,974,990,1006,1023],[2075,2299,2306,2324,2340,2356,2373,2389,2406,2423,2443,2458,2473,2490,2508,2523,2551,2590,2606,2623,2640,2656,2674,2690,2707,2723,2740,2756,2772,2789,2806,2823,2840,2856,2873,2890,2907,2956,2973,2989],[4121,4332,4340,4356,4373,4389,4406,4423,4440,4456,4473,4489,4506,4523,4539,4557,4573,4598,4656]],"version":"2.0.0"} in words.
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