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ki77a [65]
3 years ago
13

The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.35 en

trees per order. On a particular Saturday afternoon, a random sample of 26 Noodles orders had a mean number of entrees equal to 1.4 with a standard deviation equal to 0.7. At the 1 percent level of significance, does this sample show that the average number of entrees per order was greater than expected?
a) Calculate the t statistic (Round your answer to 2 decimal places.)
b) Find the p-value. (Round your answer to 4 decimal places.)
Mathematics
1 answer:
trasher [3.6K]3 years ago
4 0

Answer:

a) 0.3571

b) The p-value is 0.362007.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 1.35

Sample mean, \bar{x} = 1.4

Sample size, n = 26

Alpha, α = 0.01

Sample standard deviation, s = 0.7

First, we design the null and the alternate hypothesis

H_{0}: \mu = 1.35\text{ entrees per order}\\H_A: \mu > 1.35\text{ entrees per order}

We use One-tailed t test to perform this hypothesis.

a) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{1.4 - 1.35}{\frac{0.7}{\sqrt{25}} } = 0.3571

b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.

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Airida [17]

Answer:

C

Step-by-step explanation:

Mean: 9+6+18+2+13+3+5= 56/7 = 8

Median: 2,3,5,6,9,13,18 the middle number is 6

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7 0
2 years ago
Can you help me please ​
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The area of the sector which is the white triangle adding the shaded region is 68.9/360*π*9.28^2=51.78005(rounding to 5th digit after decimal point for accuracy before we do final round for answer)

The area of the white triangle in the sector has area 1/2*9.28^2*sin(68.9)= 40.17223(rounding to 5 digits again for some accuracy.

Now we take out the white triangle from the sector.

51.78005-40.17223=11.60782

rounding to the nearest tenth we get 11.6 cm^2

Problem done!

Hope this helped and if you have any questions about my explanation just ask in the comment and I will answer.

5 0
3 years ago
The table below shows the number of fish in four lakes with weights in various ranges. The weights of the fish in which lake rep
Llana [10]

When you plot the numbers on a graph or draw a histogram using them, you find the distribution shapes are


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Lake B: ∪

Lake C: ∩

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3 0
4 years ago
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30 POINTS!!! In a genetic experiment, a cross-fertilization of three-leafed soybeans and four-leafed soybeans produces soybeans
labwork [276]

Answer:

0.9209

Step-by-step explanation:

The question means what is the probability of not getting 5 three leafed soybeans

To find the probability we can subtract the number of getting 5 three leafed soybeans from 1

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3 years ago
I will upvote please help with finals exam question
Romashka-Z-Leto [24]
In mixed form, It is write as: Quotient Remainder / Divisor

So, compare it with 2 1/2
Quotient = 2

In short, Your Answer would be 2

Hope this helps!
4 0
4 years ago
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