Answer:
d) The difference exists due to chance since the test statistic is small
Step-by-step explanation:
From the given information:
Population mean = 178 cm
the sample mean = 177.5 cm
the standard deviation = 2
the sample size = 25
The null hypothesis and the alternative hypothesis can be computed as:
Null hypothesis:

Alternative hypothesis:

The t-test statistics is determined by using the formula:




Degree of freedom df = n- 1
Degree of freedom df = 25 - 1
Degree of freedom df = 24
At the level of significance ∝ = 0.05, the critical value = 2.064
Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance
Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small
50%, because to exceed is to be larger than, so if A is larger than B by 50%, then that means that B is 50% smaller than A.
9.4=3x+x
9.4=4x
=2.35
the shorter piece is 2.35 and <u>the longer piece is </u><u>7.05</u>
Answer:
Yes, No, No, No
Step-by-step explanation:
To decide whether the point lies on the circle, what you need to do it simply substituting the x and y values into the equation and check if it add up to be 25
(-5)² + 0² = 25, = RHS [Yes]
1² + (√7)² = 8, ≠ RHS [No]
(√21)² + (-3)² = 30, ≠RHS [No]
0² + 7² = 49, ≠RHS [No]