The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is87.6seconds. A manager devises a new drive-through system thatshebelieves will decrease wait time. As a test,sheinitiates the new system atherrestaurant and measures the wait time for10randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below. The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 87.6 seconds. A manager devises a new drive-through systemthat she believes will decrease wait time. As a test, she initiates the new system at her restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the tableto the right. Complete parts (a) and (b) below.108.479.967.993.858.485.776.069.965.284.8Click the icon to view the table of correlation coefficient critical values.(a) Because the sample size is small, the manager must verify that the wait time is normally distributed and the sample does not contain any outliers. The normal probability plot is shown below and the sample correlation coefficient is known to ber= 0.982. Are the conditions for testing the hypothesis satisfied?satisfied. The normal probability plotthan the critical value. In addition, a boxplot does not show any outliers.AExpected Z-score2-the conditionslinear enough, since the correlation coefficient is10-60 7590 105-1--2-Time (sec)(b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.05.First determine the appropriate hypotheses.Ho:87.6H4:87.6Find the test statistic.to =(Round to two decimal places as needed.)Find the P-value.The P-value is(Round to three decimal places as needed.)

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Description: The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is87.6seconds. A manager devises a new drive-through system thatshebelieves will decrease wait time. As a test

The given information is about the waiting time at a restaurant with the sample size 10 orders.

The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 87.6 seconds. A manager devises a new drive-through system that she believes will decrease wait time. As a test, she initiates the new system at her restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below. 108.4 79.9 67.9 93.8 85.7 69.9 58.4 76.0 65.2 84.8 E Click the icon to view the table of correlation coefficient critical values. (a) Because the sample size is small, the manager must verify that the wait time is normally distributed and the sample does not contain any outliers. The normal probability plot is shown below and the sample correlation coefficient is known to r=0.982. Are the conditions for testing the hypothesis satisfied? V the conditions V satisfied. The normal probability plot V linear enough, since the correlation coefficient is | than the critical value. In addition, a boxplot does not show any outliers. AExpected 2-score 2- 1- 0- eo75 90 305 Time (sec) (b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.05. First determine the appropriate hypotheses. Họ: V87.6 H,: V |87.6 Find the test statistic. to =0 (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

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ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

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The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is

87.6

seconds. A manager devises a new drive-through system that

she

believes will decrease wait time. As a test,

she

initiates the new system at

her

restaurant and measures the wait time for

randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below.

The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 87.6 seconds. A manager devises a new drive-through system
that she believes will decrease wait time. As a test, she initiates the new system at her restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table
to the right. Complete parts (a) and (b) below.
108.4
79.9
67.9
93.8
58.4
85.7
76.0
69.9
65.2
84.8
Click the icon to view the table of correlation coefficient critical values.
(a) Because the sample size is small, the manager must verify that the wait time is normally distributed and the sample does not contain any outliers. The normal probability plot is shown below and the sample correlation coefficient is known to be
r= 0.982. Are the conditions for testing the hypothesis satisfied?
satisfied. The normal probability plot
than the critical value. In addition, a boxplot does not show any outliers.
AExpected Z-score
2-
the conditions
linear enough, since the correlation coefficient is
1
0-
60 75
90 105
-1-
-2-
Time (sec)
(b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.05.
First determine the appropriate hypotheses.
Ho:
87.6
H4:
87.6
Find the test statistic.
to =
(Round to two decimal places as needed.)
Find the P-value.
The P-value is
(Round to three decimal places as needed.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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