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3 years ago

Question: Tyrone says he eats dinner when the minute hand is on 12. What time do you think it is and why?

1 answer:

8 0

Good morning!

So obviously, since the minute hand is on the number 12 (using a traditional clock), we know that Tyrone eats at the beginning of a new hour (06:00, 15:00). Using the word "dinner" as a clue, we can assume he is eating during the later hours of the day, meaning he could be eating anywhere towards the evening. In this case, using all the information, we can assume Tyrone is eating at either 17:00, 18:00, 19:00 ... 21:00, since those are the most "common" times for eating dinner.

(Common core is weird, man...)
Hope this helps,
-Timmeh

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Read 2 more answers

A simple random sample from a population with a normal distribution of 98 body temperatures has x =98.90 °F and s =0.68°F. Const

Ludmilka [50]

Answer:

$0.609 \leq \sigma \leq 0.772$

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

Step-by-step explanation:

1) Data given and notation

s=0.68 represent the sample standard deviation

$\bar x =98.90$ represent the sample mean

n=98 the sample size

Confidence=90% or 0.90

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=98-1=97$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.