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Chapter 3: Q 3.30. (page 102)

Honeymoons. Popular destination for the newlyweds of today are the Caribbean and Hawaii. According to a recent American Wedding Study by the Conde Nat Bridal Group, a honeymoon, on a average, lasts 9.4 days and costs $5111. A sample of newlyweds reported the following lengths of stay of their honeymoons

Part (a) findn

Part (b) Compute ∑xi

Part (c) Determine the sample mean. Round your answer to one more decimal place than that used for the observation.

Short Answer

Expert verified

Part (a) 12

Part (b) 108

Part (c) 9

Step by step solution

01

Part (a) Step 1. Given information.

The provided data set is:

5, 14, 7, 10, 6, 8, 12, 9, 10, 9, 7, 11.

02

Part (a) Step 2. The value of n.

The given collection is: 5, 14, 7, 10, 6, 8, 12, 9, 10, 9, 7, 11.

The number of samples is 12

Then

n=12

As a result, the value of n is 12.

03

Part (b) Step 1. Given information.

The provided data set is:

5, 14, 7, 10, 6, 8, 12, 9, 10, 9, 7, 11.

04

Part (b) Step 2. The value of ∑xi .

The value of ∑xiis calculated as follows:

role="math" localid="1653147933368" ∑xi=5+14+7+10+6+12+9+7+11∑xi=108

As a result, the value of ∑xi is 108.

05

Part (c) Step 1. Given information.

The provided data set is:

5, 14, 7, 10, 6, 8, 12, 9, 10, 9, 7, 11.

06

Part (c) Step 2 The sample average.

Mean is expressed as follows:

x¯=∑xn

The mean of the given data set is computed as follows:

x¯=10812x¯=9

As a result, the sample mean days is 9.

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Most popular questions from this chapter

Magazine Ads. Advertising researchers F. Shuptrine and D. McVicker wanted to determine whether there were significant differences in the readability of magazine advertisements. Thirty magazines were classified based on their educational level-high, mid, or low-and then three magazines were randomly selected from each level. From each magazine, six advertisements were randomly chosen and examined for readability. In this particular case, readability was characterized by the numbers of words, sentences, and words of three syllables or more in each ad. The researchers published their findings in the article "Readability Levels of Magazine Ads" (Journal of Adrertiving Reseanch, Vol. 21,No.5,pp.45-51). The number of words of three syllables or more in each ad are provided on the Weissstats site.

A quantitative data set has size 80has mean 30and standard deviation 5. At least how many observations lie between20and40?

Consider these sample data: x1=1,x2=7,x3=4,x4=5,x5=10

a) Find role="math" localid="1650821862719" n

b) Compute role="math" localid="1650822690845" ∑xi

c) Determinex-.

The cheetah (Acinonyx jubatus) is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60miles per hour (mph) and. according to the online document "Cheetah Conservation in Southern Africa" by J. Urbaniak, the cheetah is capable of speeds up to 72mphThe following table gives the top speeds, in miles per hour, arranged in increasing order, for a sample of 35cheetahs.

The sample mean and sample standard deviation of these speeds are 59.53mphand 4.27mph, respectively. A histogram of the speeds is bell shaped.
a. Is it reasonable to apply the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean?
b. Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
c. Use the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
d. Compare your answers in parts (b) and (c).

Cuckoo Care. Many species of cuckoos are brood parasites. The females lay their eggs in the nests of smaller bird species, who then raise the young cuckoos at the expense of their own young. Data on the lengths, in millimeters (mm), of cuckoo eggs found in the nests of three bird species - the Tree Pipit. Hedge Sparrow, and Pied Wagtail - were collected by the late O.M. Latter in 1902and used by L.H.C. Tippett in his text The Methods of States (New York Wiley, 1952. p. 176). Use the following boxplots to compare the lengths of cuckoo eggs found in nests of the three bird species, paying special attention to center and variation.
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