A teacher wants to compare the mean geology scores of two different classes. She is testing the null hypothesis that there is no difference in the population mean scores of the two classes. The difference of the sample means is 51.4. If the standard deviation of the distribution of the difference of sample means is 16.66, what is the 95% confidence interval for the population mean difference? A. between -33.2 and +33.2 B. between -49.9 and +49.9 C. between -102.8 and +102.8 D. between -154.2 and +154.2
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Answer:
Standard deviation(S.D) = √{Mean difference(D²) - Mean(M)}
S.D.= 16.6
Step-by-step explanation: A) M =33.2
∴ S.D = √D² - 33.2
16.66 = √D² - 33.2
D² = 16.66² + 33.2 = 277.56 - 33.2 = 244.36
∴D = √244.36 = 15.6
B) M= 49.9
∴ S.D.=√D² + 49.9
16.6 =√D² + 49.9
D² = 16.6² + 49.9 = 277.56 + 49.9 = 327.46
∴ D = √327.46 = 18.1
C) M = 102.8
∴ S.D. =√D² + 102.8
16.66 =√D² + 102.8
D² = 16.66² + 102.8 = 277.56 + 102.8 = 380.36
∴ D =√380.36 = 19.5
D) M = 154.2
∴ S.D. = √D² + 154.2
16.66 =√D² + 154.2
D² = 16.66² + 154.2 =277.56 + 154.2 = 431.76
D =√431.76 = 20.8
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first lets substitute
A.3x=13
X=13/3
b.3x+2=13
3x=11
x=11/3
c.3x+4=13
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x=3
d.3x+6=13
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x=7/3
E.3x+8=13
3x=5
x=5/3
therefore the possible is letter c because it must be an integer and the definition of integer states that it is not a decimal nor a fraction
Because
3x+2(2)=13
3x+4=13
3x=9
x=3
None of the other solutions work out so that both x and y are integers.
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Step-by-step explanation:
What is the answer??????
Final answer:
Calculate the total number of sundae combinations by multiplying the number of ice cream scoop choices by the number of topping choices. The specifics are not provided in the question, so the answer varies.
Explanation:
The number of sundae combinations you can make will be determined by the total number of ice cream flavors and the total number of toppings you have to choose from. If we consider each flavor and each topping as a single option, this becomes a problem of counting combinations. The general rule is that if you have 'n' options for one thing (like ice cream scoops) and 'm' options for another thing (like toppings), you multiply them together for the total number of combinations. So far the exact options are not specified in your question, so the correct answer could be any of the options you've provided depending on the specifics of cone and topping choices.
Learn more about Counting Combinations here:
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