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Andru [333]
3 years ago
13

For sample sizes greater than 40, the results of hypothesis tests and confidence intervals using the t distribution are highly s

ensitive to non-normality of the population from which samples are taken
b.the use of the t distribution assumes that the population from which the sample is drawn is normally distributed
c.for small sample sizes, the t distribution should not be used for data that is highly skewed and/or contains extreme outliers
d.since the t distribution procedure is robust, it can be used even for small sample with strong skewness and extreme outliers
Mathematics
2 answers:
ankoles [38]3 years ago
7 0

\boxed{{\text{Option b}}} is correct as the the use of the t distribution assumes that the population from which the sample is drawn is normally distributed.

\boxed{{\text{Option c}}} for small sample sizes, the t distribution should not be used for data that is highly skewed and/or contains extreme outliers.

Further Explanation:

For sample sizes greater than 40.

a) the results of hypothesis tests and confidence intervals using the t distribution are highly sensitive to non-normality of the population from which samples are taken is not correct as the sample size is large the data is normally distributed.

b) the use of the t distribution assumes that the population from which the sample is drawn is normally distributed is correct as the condition to apply t-distribution is that the data is normally distributed.

c) for small sample sizes, the t distribution should not be used for data that is highly skewed and/or contains extreme outliers is correct as the sample size is small the data set is less normally distributed.

d) since the t distribution procedure is robust, it can be used even for small sample with strong skewness and extreme outliers is not correct as it is the contradiction of option (c).

\boxed{{\text{Option b}}} is correct as the the use of the t distribution assumes that the population from which the sample is drawn is normally distributed.

\boxed{{\text{Option c}}} for small sample sizes, the t distribution should not be used for data that is highly skewed and/or contains extreme outliers.

Learn more:

1. Learn more about normal distribution brainly.com/question/12698949

2. Learn more about standard normal distribution brainly.com/question/13006989

Answer details:

Grade: College

Subject: Statistics

Chapter: Normal distribution

Keywords: Z-score, Z-value, standard normal distribution, standard deviation, criminologist, test, measure, probability, low score, mean, repeating, indicated, normal distribution, percentile, percentage, undesirable behavior, proportion.

dem82 [27]3 years ago
5 0
We' supposed to indicate which statement is true/false.

Note that, if a sample size is 40 or over, we can use the t distribution even with skewed data. So it's not highly sensitive to non-normality of the population from which samples are taken. So statement A is false. 

It's true that the t-distribution assumes that the population from which samples are drawn is normally distributed. So B is true.

For skewed data or with extreme outliers, we can't use the t distribution. We only use t distribution as long as we believe that the population from which samples are drawn is closed to a bell-shape. So C is true.

 Lastly, statement D is against statement C. So D is false.




 
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If the life in years of a television set is normally distributed with a mean of 36 years and a standard deviation of 8 years wha
TiliK225 [7]

Answer:

The company should guarantee a lifetime of less than equal to 20.95 years so that less than 3% of the television sets fail while under warranty.    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 36 years

Standard Deviation, σ = 8 years

We are given that the distribution of life of television sets is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.03.

P( X < x) = P( z < \displaystyle\frac{x - 36}{8})=0.03  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 36}{8} =-1.881\\\\x = 20.952\approx 20.95  

Thus, the company should guarantee a lifetime of less than or equal to 20.95 years so that less than 3% of the television sets fail while under warranty.

3 0
3 years ago
Kamau bought 50 kg of sugar for sh 4000
Nana76 [90]

Answer:

Profit % =50%

Step-by-step explanation:

Cost of 50 kg = sh 4000

Selling price of 1kg = sh 120

Selling price of 50 kg = sh 6000

profit \% = \frac{Selling \ price - cost \ price}{cost \ price} \times 100\\

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7 0
2 years ago
A gardener found that he was able to plant 1/4 of a packet of flower seeds in 1/5 of a garden.At this rate how much of the garde
telo118 [61]

Answer: \frac{4}{5} of garden.


Step-by-step explanation:

Given: The area covered by \frac{1}{4} of a packet of flower seeds=\frac{1}{5} of a garden.

The area covered in 1 packet=4\times\frac{1}{5}

⇒The area covered in 1 packet=\frac{4}{5} of garden.

Thus, the entire packet of seeds would cover \frac{4}{5} of garden.

3 0
3 years ago
20 POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!!
wolverine [178]
Look for points with whole number coefficients.  (2,4) is such a point; (0,1) is another.  To find points on the graph of the inverse of this function, all we have to do in this case is to reverse the order of the coefficients, so 

(2,4) becomes (4,2) and (0,1) becomes (1,0).  Only (4,2) is included in the list of answer choices, above, so the correct answer is (4,2).

7 0
3 years ago
4 divided by 5/9 = easy question big points lol
V125BC [204]
7.2 is answer thanks
5 0
2 years ago
Read 2 more answers
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