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alukav5142 [94]
3 years ago
9

The titanium content of an alloy is being studied in the hope of ultimately increasing the tensile strength. An analysis of six

recent heats chosen at random produces the following titanium contents. 9.7% 7.4% 5.9% 7.7% 7.5% 8.9% What is the value of the test statistic, if the alternative hypothesis is the mean titanium content is greater than 9.5%?
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

Tstatistic = - 3.068

Step-by-step explanation:

Given the data: 9.7% 7.4% 5.9% 7.7% 7.5% 8.9%

Mean titanium > 9.5%

Test statistic :

(m - μ) / (s/√n)

From the data: obtain the sample mean and standard deviation

From the data given ;

Calculate the same mean and standard deviation :

Using calculator :

Sample mean (m) = ΣX / n

Sample size (n) = 6

m = 47.1 / 6 = 7.85

Standard deviation (s) :

Using calculator = 1.317

Hence,

(m - μ) / (s/√n)

Tstatistic = (7.85 - 9.5) / (1.317/√6)

Tstatistic = - 1.65 / 0.5376629

Tstatistic = - 3.068

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Answer:

Option (c) is correct.

The approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters


Step-by-step explanation:

Given:A spinner for a board game consists of a cardboard circle with two plastic arrows anchored to its center. The arrows are congruent isosceles triangles connected at their bases.

also,  Given: The base of each triangle measures 2 centimeters and the perimeter of each triangle is 10 centimeters.

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