Answer:
-3.75
Step-by-step explanation:
the opposite changes the sign from positive to negative, so the opposite of 3.75 would be -3.75
0.46
Step-by-step explanation:
23÷50= 0.46
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Answer:
15
Step-by-step explanation:
Answer:

And we can find this probability with the complement rule:

Step-by-step explanation:
For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:

And for this case the probability density function is given by:

And the cumulative distribution function is given by:

And we want to find this probability:

And we can find this probability with the complement rule:

Answer:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
Step-by-step explanation:
Information provided
represent the sample mean
represent the population deviation
sample size
represent the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.