The brain volumes (cm cubedcm3) of 20 brains have a mean of 1189.81189.8 cm cubedcm3 and a standard deviation of 126.5126.5 cm cubedcm3. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1432.81432.8 cm cubedcm3 be significantly high?
Answers
Answer:
Lower limit = 936.8
Upper limit = 1442.8
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 1189.8 cube cm
Standard Deviation, σ = 126.5 cube cm
Range rule of thumb:
- The range rule of thumb says that the range is four times the standard deviation.
- The range rule of thumb suggests that most values would be in the area covered by four standard deviations that is within two standard deviations above or below the mean.
Lower limit =
Upper limit =
Thus, most values lie within (936.8,1442.8)
A brain volume of 1432.8 cube cm is not significantly high because it is less than the upper limit.
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On January 1, 2021, White Water issues $410,000 of 7% bonds, due in 10 years, with interest payable semiannually on June 30 and December 31 each year.Assuming the market interest rate on the issue date is 8%, the bonds will issue at $382,141.Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field. Round your final answers to the nearest whole dollar.)
You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.
Answers
Answer:
The length of side st is 15.
Step-by-step explanation:
A tangent is a straigth line that touches a circle externally at a point on the circumference. Considering one of its properties that tangents from the same point to a fixed point outside a circle are equal.
Then,
/rn/ = /rp/
/tm/ = /tn/
/sm/ = /sp/
But, /rp/ = 7, /rt/ = 17 and /sm/ = 5.
Then,
/rt/ = /rn/ + /tn/
17 = 7 + /tn/ (∵ /rp/ = /rn/ = 7)
⇒ /tn/ = 10
Since /nt/ = 10, then /tm/ = 10 (/tm/ = /nt/)
So that,
/st/ = /sm/ + /tm/
= 5 +10
/st/ = 15
The length of side st is 15.
Answers
Answer:
1
Step-by-step explanation:
1+19=20
so only 1 visit is available if they only have $20 to use.
Answer:
1
Step-by-step explanation:
19+1=20
Answers
The total number of seats are 280
Out of this 98 seats are filled
Hence it is expressed in fraction as
(part out of whole)
To convert any fraction into percentage, we just need to multiply it with 100
×100
= 35 %
Hence 35% of the cinema is filled
Answers
Answer:
relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation:
Solution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: The distribution of severity of psoriasis cases at the end and prior are same.
Alternative hypothesis: The distribution of severity of psoriasis cases at the end and prior are different.
Formulate an analysis plan. For this analysis, the significance level is 0.05. Using sample data, we will conduct a chi-square goodness of fit test of the null hypothesis.
Analyze sample data. Applying the chi-square goodness of fit test to sample data, we compute the degrees of freedom, the expected frequency counts, and the chi-square test statistic. Based on the chi-square statistic and the degrees of freedom, we determine the P-value.
DF = k - 1 = 4 - 1
D.F = 3
(Ei) = n * pi
Category observed Num expected num [(Or,c -Er,c)²/Er,c]
Remission 380 20 6480
Mild
symptoms 520 770 81.16883117
Moderate
symptoms 95 160 24.40625
Severe
symptom 5 50 40.5
Sum 1000 1000 6628.075081
Χ2 = Σ [ (Oi - Ei)2 / Ei ]
Χ2 = 6628.08
Χ2Critical = 7.81
where DF is the degrees of freedom, k is the number of levels of the categorical variable, n is the number of observations in the sample, Ei is the expected frequency count for level i, Oi is the observed frequency count for level i, and Χ2 is the chi-square test statistic.
The P-value is the probability that a chi-square statistic having 3 degrees of freedom is more extreme than 6628.08.
We use the Chi-Square Distribution Calculator to find P(Χ2 > 19.58) =less than 0.000001
Interpret results. Since the P-value (almost 0) is less than the significance level (0.05), we cannot accept the null hypothesis.
We reject H0, because 6628.08 is greater than 7.81. We have statistically significant evidence at alpha equals to 0.05 level to show that distribution of severity of psoriasis cases at the end of the clinical trial for the sample is different from the distribution of the severity of psoriasis cases prior to the administration of the drug suggesting the drug is effective.
Final answer:
The chi-square test is a statistical method that determines if there's a significant difference between observed and expected frequencies in different categories, such as symptom status in this clinical trial. Without post-treatment numbers, we can't run the exact test. However, if the test statistic exceeded the critical value, we could conclude that the drug significantly affected symptom statuses.
Explanation:
This question pertains to the use of a chi-squared test, which is a statistical method used to determine if there's a significant difference between observed frequencies and expected frequencies in one or more categories. For this case, the categories are the symptom statuses (remission, mild, moderate, and severe).
To conduct a chi-square test, you first need to know the observed frequencies (the initial percentages given in the question) and the expected frequencies (the percentages after treatment). As the question doesn't provide the numbers after treatment, I can't perform the exact chi-square test.
If the post-treatment numbers were provided, you would compare them to the pre-treatment numbers using the chi-squared formula, which involves summing the squared difference between observed and expected frequencies, divided by expected frequency, for all categories. The result is a chi-square test statistic, which you would then compare to a critical value associated with a chosen significance level (commonly 0.05) to determine if the treatment has a statistically significant effect.
To interpret a chi-square test statistic, if the calculated test statistic is larger than the critical value, it suggests that the drug made a significant difference in the distribution of symptom statuses. If not, we can't conclude the drug was effective.
Learn more about Chi-square test here:
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A.) 7x 5
B. 5x5x5x5x5x5x5
C.7x7x7x7x7
D. 5 ‘7
Answers
Answer:
C
Step-by-step explanation:
you are multiplying 7 by its self 5 times
Final answer:
75 does not equal any of the options provided in the question. The calculations for each option yield numbers that are either larger or smaller than 75.
Explanation:
The number 75 can be best expressed as equal to 7x5 based on the options given in the question. Let's do a quick math check to confirm:
A) 7x5 = 35, which is not equal to 75.
B) 5x5x5x5x5x5x5 = 78125, which is much larger than 75.
C) 7x7x7x7x7 = 16807, which is also much larger than 75.
D) The last option 5 '7 does not make mathematical sense.
So, based on the calculations, none of the given options correctly express the number 75.
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