Question

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 411 gram setting. It is believed that the machine is underfilling the bags. A 26 bag sample had a mean of 406 grams with a variance of 225. Assume the population is normally distributed. A level of significance of 0.02 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.

Answer #1

Solution :

Given that,

Population mean = = 411

Sample mean = = 406

Sample standard deviation = s = 15

Sample size = n = 26

Level of significance = = 0.02

**This is a two tailed test.**

The null and alternative hypothesis is,

**Ho:
411**

**Ha:
411**

The test statistics,

t = ( - )/ (s/)

= ( 406 - 411 ) / ( 15 / 26)

**= -1.7**

df = n - 1 = 25

**P- Value = 0.1016**

**The p-value is p = 0.1016 > 0.02, it is concluded
that the null hypothesis is fails to reject.**

A manufacturer of chocolate chips would like to know whether its
bag filling machine works correctly at the 432 gram setting. It is
believed that the machine is underfilling the bags. A 29 bag sample
had a mean of 425 grams with a standard deviation of 26. Assume the
population is normally distributed. A level of significance of 0.02
will be used. Find the P-value of the test statistic. You may write
the P-value as a range using interval notation,...

A manufacturer of chocolate chips would like to know whether its
bag filling machine works correctly at the 442 gram setting. It is
believed that the machine is underfilling the bags. A 44 bag sample
had a mean of 438 grams. Assume the population variance is known to
be 576. A level of significance of 0.1 will be used. You may write
the P-value as a range using interval notation, or as a decimal
value rounded to four decimal places.

A manufacturer of chocolate chips would like to know whether its
bag filling machine works correctly at the 405 gram setting. It is
believed that the machine is underfilling the bags. A 42 bag sample
had a mean of 398 grams. Assume the population variance is known to
be 841. A level of significance of 0.05 will be used. Find the
P-value of the test statistic. You may write the P-value as a range
using interval notation, or as a...

A manufacturer of chocolate chips would like to know whether its
bag filling machine works correctly at the 412 gram setting. It is
believed that the machine is underfilling the bags. A 99 bag sample
had a mean of 405 grams with a standard deviation of 12. Assume the
population is normally distributed. A level of significance of 0.01
will be used. Find the P-value of the test statistic. You may write
the P-value as a range using interval notation,...

A manufacturer of chocolate chips would like to know whether its
bag filling machine works correctly at the 420 gram setting. It is
believed that the machine is underfilling the bags. A 43 bag sample
had a mean of 415 grams. Assume the population standard deviation
is known to be 20. A level of significance of 0.01 will be used.
Find the P-value of the test statistic. You may write the P-value
as a range using interval notation, or as...

A manufacturer of chocolate chips would like to know whether its
bag filling machine works correctly at the 450 gram setting. It is
believed that the machine is underfilling the bags. A 14 bag sample
had a mean of 441 grams with a variance of 169. Assume the
population is normally distributed. A level of significance of 0.05
will be used. Find the P-value of the test statistic. You may write
the P-value as a range using interval notation, or...

A manufacturer of chocolate chips would like to know whether its
bag filling machine works correctly at the 447 gram setting. It is
believed that the machine is underfilling the bags. A 31 bag sample
had a mean of 439 grams. Assume the population variance is known to
be 900. A level of significance of 0.1 will be used. Find the
P-value of the test statistic. You may write the P-value as a range
using interval notation, or as a...

A manufacturer of chocolate chips would like to know whether its
bag filling machine works correctly at the 405 gram setting. It is
believed that the machine is underfilling the bags. A 42 bag sample
had a mean of 398 grams. Assume the population variance is known to
be 841. A level of significance of 0.05 will be used. Find the
P-value of the test statistic. You may write the P-value as a range
using interval notation, or as a...

A manufacturer of chocolate chips would like to know whether its
bag filling machine works correctly at the 433 gram setting. It is
believed that the machine is underfilling the bags. A 42 bag sample
had a mean of 425 grams. Assume the population variance is known to
be 625. A level of significance of 0.05 will be used. Find the
P-value of the test statistic. You may write the P-value as a range
using interval notation, or as a...

A manufacturer of chocolate chips would like to know whether its
bag filling machine works correctly at the 416 gram setting. It is
believed that the machine is underfilling the bags. A 44 bag sample
had a mean of 409grams. Assume the population standard deviation is
known to be 25. A level of significance of 0.020 will be used. Find
the P-value of the test statistic. You may write the P-value as a
range using interval notation, or as a...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 20 minutes ago

asked 44 minutes ago

asked 47 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago