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quester [9]
2 years ago
5

The board of a major credit card company requires that the mean wait time for customers when they call customer service is at mo

st 4.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 53 randomly selected calls. The mean wait time was calculated to be 4.94 minutes. Assuming the population standard deviation is 2.10 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
1. State the null and alternative hypotheses for the test.
2. Compute the value of the test statistic.
3. Draw a conclusion and interpret the decision.
Mathematics
1 answer:
choli [55]2 years ago
8 0

Answer:

H0 : μ = 4.50

H1 : μ > 4.50

Test statistic = 1.525

we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.

Step-by-step explanation:

H0 : μ = 4.50

H1 : μ > 4.50

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(4.94 - 4.50) ÷ 2.10/ sqrt(53)

0.44 / 2.10/ sqrt(53)

= 1.525

α = 1 - 98% = 0.02

Decision region :

Reject H0 ; if Pvalue < α

Pvalue = p(Z < 1.525) = 0.936

Pvalue = 0.936

Since Pvalue > α ; We fail to reject H0

Hence, we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.

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Alona [7]

Answer:

  -i(6/7)√2

Step-by-step explanation:

\displaystyle -\sqrt{-\frac{72}{49}}=-\sqrt{-1}\sqrt{\frac{36}{49}}\sqrt{2}\\\\=-i\frac{6}{7}\sqrt{2}

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3 years ago
Describe the sampling distribution of Phat. Assume the size of the Population is 25,000. N = 500 P = 0.4 Determine the Mean of t
PIT_PIT [208]

Answer:

0.022

Step-by-step explanation:

Given that :

Population size = 25000

n = 500 ; p = 0.4

Size of random sample (n) = 500

5% of population size : 0.05 * 25000 = 1250

Distribution is normally distributed since n < 5% of population size

Hence, the mean of the distribution = p = 0.4

Standard deviation = √((pq) /n)

q = 1 - p ; q = 1 - 0. 4 = 0.6

Standard deviation = √((0.4 * 0.6) /500)

Standard deviation = 0.0219089

= 0.022

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3 years ago
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elena55 [62]

Answer:

C. 0.300 s.

53

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
The measure of the exterior angle of the triangle is what degree?
RSB [31]

Answer:

92°

Step-by-step explanation:

By exterior angle theorem:

(2x - 2) \degree = x \degree + 45 \degree \\  \\ (2x - 2 - x) \degree = 45 \degree \\  \\ (x - 2) \degree = 45 \degree \\  \\ (x - 2)  = 45 \\  \\ x = 45 + 2 \\  \\ x = 47 \\  \\ (2x - 2) \degree  = (2 \times 47 - 2)\degree  \\  \\ (2x - 2) \degree  = (94 - 2)\degree   \\  \\ (2x - 2) \degree  = 92\degree   \\  \\ measure  \: of  \: the  \: exterior \:  angle \\  = 92 \degree

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3 years ago
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oee [108]

Answer:

a. Speed of flight * ( total spent away from hive - time stayed on flower bed)

b. The flower bed is 2,400 ft from the hive

Step-by-step explanation:

a. Mathematically, the distance will be ;

the speed * time taken

Given that he stays a total of 17 minutes away from the hive and he stayed 15 minutes in the flower bed, the time it used on the flower bed will be 17 minutes - 15 minutes = 2 minutes

So the distance from the flower bed to the hive is;

Speed of flight * ( total spent away from hive - time stayed on flower bed)

b. We want to find the distance of the flower bed from the hive

That will be;

20 ft per second * 2 minutes (120 seconds)

= 20 * 120 = 2,400 ft

4 0
3 years ago
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