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Chapter 8: Q.39 (page 479)

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.

Short Answer

Expert verified

X-Indicates the amount of time the patients have to wait before being called back to be examined.

X炉-Denotes the sample mean.

Step by step solution

01

Given information

Given in the question that, A hospital is trying to cut down on emergency room wait times. It is interested in the amount of time patients must wait before being called back to be examined. An investigation committee randomly surveyed 70patients. The sample mean was 1.5hours with a sample standard deviation of 0.5hours.

02

Explanation

The random variable Xindicates the amount of time the patients have to wait before being called back to be examined.

X炉denotes the sample mean. The average amount of time consumed waiting by the 70patients before being called back to be examined.

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Most popular questions from this chapter

A camp director is interested in the mean number of letters each child sends during his or her camp session. The

population standard deviation is known to be 2.5. A survey of 20campers is taken. The mean from the sample is 7.9with a

sample standard deviation of 2.8.

a.

localid="1651507797100" i.x虅=________ii.蟽=________iii.n=________

b. Define the random variables XandX虅

in words.

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

d. Construct a 90%confidence interval for the population mean number of letters campers send home.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

e. What will happen to the error bound and confidence interval if 500campers are surveyed? Why?

Using the same mean, standard deviation, and level of confidence, suppose that n were 69 instead of 25. Would the error bound become larger or smaller? How do you know?

Construct a 99%confidence interval for the population mean hours spent watching television per month.

(a) State the confidence interval

(b) sketch the graph, and

(c) calculate the error bound.

Using the same p鈥� and level of confidence, suppose that n were increased to 100. Would the error bound become larger

or smaller? How do you know?

Using the same x炉 , sx , and level of confidence, suppose that nwere 69 instead of 39. Would the error bound become larger or smaller? How do you know?
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