Answer:
340 people would renew their membership if the gym had 400 members
The gym's claim is not accurate, because the prediction should be 340 people instead of 330
Step-by-step explanation:
With 400 members, we can predict how many will renew their membership by multiplying 400 by 0.85:
400(0.85)
= 340
So, this would predict that 340 people would renew their membership.
The gym's claim that 330 members would renew their memberships is not accurate, because the correct prediction should be 340 people.
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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
Answer:
x > -7/17
Step-by-step explanation:
You first divide -7 by 17 to isolate the variable, (x).
And thats it!