The weight of an organ in adult males has a bell-shaped distribution with a mean of 330 grams and a standard deviation of 15 gr
2 answers:
Answer: a) (315,345) b) 99.7%, c) 0.14%, d) 97.36%
Step-by-step explanation:
Since we have given that
Mean = 330 grams
Standard deviation = 15 grams
(a) About 68% of organs will be between what weights?
We will use 68-95-99.7 rule, it is empirical.
as we know that
So,
So,the 68% of the data falls within three standard deviation or will be between (315 grams and 345 grams)
(b) What percentage of organs weighs between 285 grams and 375 grams?
so, 99.7 % of organs weighs between 285 grams and 315 grams, because the these two values are within one standard deviation of the mean.
(c) What percentage of organs weighs less than 285 grams or more than 375 grams?
Since it is 3 standard deviation below the mean and 3 standard deviations above the mean.
so, it becomes
Since 285 grams is 3 standard deviation below the mean(=330 grams) and 375 grams is 3 standard deviation above the mean(=330 grams).
So 0.14% data is lies below the 285 grams and 0.14% data is lies above the 375 grams.
(d) What percentage of organs weighs between 300 grams and 375 grams?
So, 300 grams is 2 standard deviation below the mean i.e. 330 grams and 375 grams is 3 standard deviation above the mean i.e. 330 grams.
so, percentage of organs weighs would be
Hence, a) (315,345) b) 99.7%, c) 0.14%, d) 97.36%.
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Answer:
(a) NULL HYPOTHESIS, :
3.5%
ALTERNATE HYPOTHESIS, :
> 3.5%
(b) We conclude that the the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks.
Step-by-step explanation:
We are given that a random sample of seven Ohio banks is selected.The bad debt ratios for these banks are 7, 4, 6, 7, 5, 4, and 9%.The mean bad debt ratio for all federally insured banks is 3.5%.
We have to test the claim of Federal banking officials that the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks.
(a) Let, NULL HYPOTHESIS, :
3.5% {means that the the mean bad debt ratio for Ohio banks is less than or equal to the mean for all federally insured banks}
ALTERNATE HYPOTHESIS, :
> 3.5% {means that the the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks}
The test statistics that will be used here is One-sample t-test;
T.S. = ~
where, = sample mean debt ratio of Ohio banks = 6%
s = sample standard deviation = = 1.83%
n = sample of banks = 7
So, test statistics = ~
= 3.614
(b) Now, at 1% significance level t table gives critical value of 3.143. Since our test statistics is more than the critical value of t so we have sufficient evidence to reject null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the the mean bad debt ratio for Ohio banks is higher than the mean for all federally insured banks.
Hence, Federal banking officials claim was correct.
The number of half-hour sittings needed to watch all the shows by Devon is 11
<u>Solution:</u>
Given, Devon records 4 hours of reality shows on her DVR
she records comedy shows for 3/8 of that amount of time.
Devon watches all the reality and comedy shows in half-hour sittings.
We have to find the number of half-hour sittings needed to watch all the shows
Now, number of half hour sittings is given as
Hence Devon needs 11 sittings
Answer:
You can write this as (-infinity, 7) if you aren't able to use the infinity symbol.
====================================================
Explanation:
Think of x < 7 as writing
So x is between negative infinity and 7, excluding both endpoints.
To write in interval notation, we write
The curved parenthesis tell us to exclude the endpoint.