I don't get because you did not add a symbol between 110 and 7/16 so i can't tell you.
Answer:
a) Null hypothesis: H₀ : μ = 57
Alternative hypothesis H₁ : μ ≠ 57
b) The calculated value t =4.077 > 1.6896 at 99% of confidence degrees of freedom.
Natalie is trying to prove the new technique is an improvement over the old technique.
Step-by-step explanation:
<u>Step:-(i)</u>
The average speed of a volleyball serve is 57 miles per hour.
μ = 57 miles per hour
Average speed using the new technique was 58.9 miles per hour, with a standard deviation of 2.8 miles per hour.
sample mean x⁻ = 58.9 miles per hour
Standard deviation S = 2.8 miles per hour.
<u>Step:-(ii)</u>
Null hypothesis: H₀ : μ = 57
Alternative hypothesis H₁ : μ ≠ 57
Degrees of freedom γ=n-1
The test statistic
![t= \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7Bx%5E%7B-%7D%20-mean%7D%7B%5Cfrac%7BS.D%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
![t= \frac{58.9 -57}{\frac{2.8}{\sqrt{36} } }](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7B58.9%20-57%7D%7B%5Cfrac%7B2.8%7D%7B%5Csqrt%7B36%7D%20%7D%20%7D)
t = 4.077
Degrees of freedom γ=n-1 = 35-1 =34
tₐ = 2.0322
<u>The calculated value t =4.077 > 1.6896 at 99% of confidence degrees of freedom.</u>
<u>The Natalie is not trying to prove the new technique is an improvement over the old technique.</u>
The answer is 17/19 because if you divide 85 by five equals 17 and 95 divided by 5 equals is 19 and since 5 is the highest factor of 85 and 95 the answer is correct.
Answer:
10.60
Step-by-step explanation: