Question

In: Statistics and Probability

The following sample of weights was taken from 8 cookies off the assembly line. Construct the...

The following sample of weights was taken from 8 cookies off the assembly line. Construct the 95% confidence interval for the population standard deviation for all cookies that come off the assembly line. Round your answers to two decimal places. 7.4,6.6,6.6,6.6,6.9,7.5,6.8,7.6

Expert Solution

Solution :

Given that,

s = 0.4309

s² = 0.1857

n = 8

Degrees of freedom = df = n - 1 = 7

At 95% confidence level the ² value is ,

$\alpha$ = 1 - 95% = 1 - 0.95 = 0.05

$\alpha$ / 2 = 0.05 / 2 = 0.025

1 - $\alpha$ / 2 = 1 - 0.025 = 0.975

²_L = ²_/2,df = 16.013

²_R = ²_{1 -} _/2,df = 1.690

The 95% confidence interval for is,

(n - 1)s² / ²_/2 < < (n - 1)s² / ²_{1 -} _/2

7 * 0.1857 / 16.03 < < 7 * 0.1857 / 1.690

0.28 < < 0.88

(0.28 , 0.88)

orchestra answered 2 years ago

The following sample of weights was taken from 8 muffins off the assembly line. Construct the...

The following sample of weights was taken from 8 muffins off the assembly line. Construct the 90% confidence interval for the population variance for all muffins that come off the assembly line. Round your answers to two decimal places. 18.0,17.9,18.3,17.6,18.5,18.2,18.0,18.6 Lower endpoint and upper endpoint?

The following sample of lengths was taken from 8 nails off the assembly line. Construct the...

The following sample of lengths was taken from 8 nails off the assembly line. Construct the 90% confidence interval for the population variance for all nails that come off the assembly line. Round your answers to two decimal places. 19.3,19.1,19.6,19.7,19.1,19.2,19.0,19.0 Lower Endpoint: ??? and Upper Endpoint: ???

The following sample of weights was taken from 9 cans of soda off the assembly line....

The following sample of weights was taken from 9 cans of soda off the assembly line. Construct the 80% confidence interval for the population standard deviation for all cans of soda that come off the assembly line. Round your answers to two decimal places. 14.5,14.7,14.3,14.3,14.6,15.1,15.3,15.1,14.4

9. The following sample of lengths was taken from 9 rods off the assembly line. Construct...

9. The following sample of lengths was taken from 9 rods off the assembly line. Construct the 99% confidence interval for the population standard deviation for all rods that come off the assembly line. Round your answers to two decimal places. 18.9,18.9,19.0,18.7,18.8,19.0,19.4,18.6,18.6

a) A sample of 256 items is taken from an assembly line which produces 10000 items...

a) A sample of 256 items is taken from an assembly line which produces 10000 items per day. It is found that 16 of the sampled items are defective. A wholesale company won't buy the product from this assembly line if the defective rate is more than 0.05. If you were to conduct a hypothesis test your hypotheses would be Group of answer choices H0:x¯=0.5Ha:x¯>0.05 H0:p=0.05Ha:p>0.05 H0:μ=0.05Ha:μ>0.05 H0:p^=0.0625Ha:p>0.05 b) A sample of 256 items is taken from an assembly line...

A sample of 256 items is taken from an assembly line which produces 10000 items per...

A sample of 256 items is taken from an assembly line which produces 10000 items per day. It is found that 16 of the sampled items are defective. An approximate 95% confidence interval for the proportion of defectives produced that day is

The following data is a sample of weights taken from the population of Edinburg: 124 147...

The following data is a sample of weights taken from the population of Edinburg: 124 147 210 347 124 321 321 321 310 124 145 145 145 124 178 234 a) Find the sample mean b) Find the sample standard deviation c) Find the range

Suppose a sample of 16 light trucks is randomly selected off the assembly line. The trucks...

Suppose a sample of 16 light trucks is randomly selected off the assembly line. The trucks are driven 1000 miles and the fuel mileage (MPG) of each truck is recorded. It is found that the mean MPG is 22 with a SD equal to 3. The previous model of the light truck got 20 MPG. Questions: a) State the null hypothesis for the problem above b) Conduct a test of the null hypothesis at p = .05. BE SURE TO...

A sample of 64 resistors are taken from a production line and are found to have...

A sample of 64 resistors are taken from a production line and are found to have a sample mean of 998 Ohms. The population distribution for the resistances is unknown but the population standard deviation is known to be 10 Ohms. (a) Find a 97% confidence interval for the population mean. The tabulated value is and obtained from table. Lower limit is and the upper limit is . (b) Answer the following two questions by writing either ”narrower” or ”wider” in the blank...

A sample sequence of 35 products is selected (in order) from an assembly line. Each product...

A sample sequence of 35 products is selected (in order) from an assembly line. Each product is examined and judged to be either acceptable or defective. A total of 26 of these products were found to be acceptable, and the other 9 were found to be defective. The number of runs was 7. The runs test is to be used at the 0.05 significance level to test for randomness. Find the value of the test statistic used in this test,...