1. A sample of size n = 121 produced the sample mean of = 30. Assuming the population standard deviation o = 4, compute a 95% confidence interval for the population mean

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1. A sample of size n =
121 produced the sample mean of =
30. Assuming the population standard deviation o
4,
compute a 95% confidence interval for the population mean
u.
2.
Given
the
following
data:
6.
-3
3
5
3
4
Construct a 90 % confidence interval estimate for the
population mean.
3. A random sample of 750 people shows that 150 are
left-handed. Construct a 99% confidence interval for
the true proportion of left-handers.
4. How large a sample would be necessary to estimate
the true proportion defective in a large population
within 5%, with 95% confidence? (Assume a pilot
sample yields p = 0.5)
%3D
5. Write a short note on point estimate and confidence interval
estimate.
Transcribed Image Text:1. A sample of size n = 121 produced the sample mean of = 30. Assuming the population standard deviation o 4, compute a 95% confidence interval for the population mean u. 2. Given the following data: 6. -3 3 5 3 4 Construct a 90 % confidence interval estimate for the population mean. 3. A random sample of 750 people shows that 150 are left-handed. Construct a 99% confidence interval for the true proportion of left-handers. 4. How large a sample would be necessary to estimate the true proportion defective in a large population within 5%, with 95% confidence? (Assume a pilot sample yields p = 0.5) %3D 5. Write a short note on point estimate and confidence interval estimate.
Q1.
Consider the following data:
x46523
y 64546
Find out the following:
(i) Karl Pearson correlation coefficient (r)
(ii) Regression equation ( )
Q2. Calculate Coefficient of determination (R’) from the following data:
x 34576
y 56446
Q3. Calculate Estimated Standard error (S,)from the following data:
x 3 4 521
y 345 26
Q4.
Calculate the Spearman's rank correlation(r). from the
following data:
Marks in Mathematics 35 46 45 30 20 60 20 55 20 36
Marks in Statistics
32 25 24 16 10 5 27 10 12 21
Q5. Write a short note on Correlation and Regression analysis.
Transcribed Image Text:Q1. Consider the following data: x46523 y 64546 Find out the following: (i) Karl Pearson correlation coefficient (r) (ii) Regression equation ( ) Q2. Calculate Coefficient of determination (R’) from the following data: x 34576 y 56446 Q3. Calculate Estimated Standard error (S,)from the following data: x 3 4 521 y 345 26 Q4. Calculate the Spearman's rank correlation(r). from the following data: Marks in Mathematics 35 46 45 30 20 60 20 55 20 36 Marks in Statistics 32 25 24 16 10 5 27 10 12 21 Q5. Write a short note on Correlation and Regression analysis.
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