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BabaBlast [244]
2 years ago
7

Mary is using a one-sample t-test on the following group:Subject #15: 7.5 hoursSubject #27: 6 hoursSubject #48: 7 hoursSubject #

80: 6.5 hoursSubject #91: 7.5 hoursSubject #82: 8 hoursSubject #23: 5.5 hoursSelect the two TRUE statements.a.)Mary would use the sample standard deviation to calculate a t-statistic.b.)Mary would use the population standard deviation to calculate a t-distribution.c.)The value for the degrees of freedom for Mary's sample population is six.d.)The t-distribution that Mary uses is taller than a standard distribution.e.)The t-distribution that Mary uses has skinnier tails than a standard distribution.
Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
6 0

Based on the information given, the correct options will be:

a.) Mary would use the sample standard deviation to calculate a t-statistic.

c.) The value for the degrees of freedom for Mary's sample population is six.

One-sample t-test simply means a statistical hypothesis test that's used for the determination of whether an unknown population mean will be different from the specific value.

In this case, the value of the degree of freedom for the sample will be:

= (n - 1) = 7 - 1 = 6.

Also, it should be noted that Mary would use the sample standard deviation to calculate a t-statistic.

Learn more about statistics on:

brainly.com/question/15525560

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Answer:

\displaystyle V_{ \text{pyramid}}= 64 \:  {cm}^{3}

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

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we need to figure out slant length first

recall the formula of surface area

\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s

where B stands for Base area

and P for Base Parimeter

so

\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s

now we need our algebraic skills to figure out s

simplify parentheses:

\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144

reduce fraction:

\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32}  \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144

simplify multiplication:

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cancel 64 from both sides;

\displaystyle \: 16s = 80

divide both sides by 16:

\displaystyle \: \therefore \: s = 5

now we'll use Pythagoras theorem to figure out height

according to the theorem

\displaystyle \:  {h}^{2}  +  (\frac{l}{2} {)}^{2}  =  {s}^{2}

substitute the value of l and s:

\displaystyle \:  {h}^{2}  +  (\frac{8}{2} {)}^{2}  =  {5}^{2}

simplify parentheses:

\displaystyle \:  {h}^{2}  +  (4 {)}^{2}  =  {5}^{2}

simplify squares:

\displaystyle \:  {h}^{2}  +  16  =  25

cancel 16 from both sides:

\displaystyle \:  {h}^{2}   =  9

square root both sides:

\displaystyle \:   \therefore \: {h}^{}   =  3

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\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h

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substitute the value of h and l:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times  \{8 \times 8 \}\times 3

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\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times  64\times 3

reduce fraction:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times  64\times \cancel{ \:  3}

hence,

\sf\displaystyle V_{ \text{pyramid}}= 64 \:  {cm}^{3}

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