Question

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 409 gram setting. It is believed that the machine is underfilling the bags. A 20 bag sample had a mean of 399 grams with a standard deviation of 21. 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

Hypotheses are,

H0: = 409 grams

H1: < 409 grams

Given,

Sample mean = 399 grams

Sample standard deviation, s = 21

Hypothesized mean, = 409 grams

Since we do not know the population standard deviation, we will use t test statistic.

Standard error of mean = s / = 21 / = 4.696

t = (399 - 409) / 4.696 = -2.13

Degree of freedom = n - 1 = 20 - 1 = 19

For left tail test, p-value = P(t < -2.13, df = 19) = 0.0232

Since, p-value is greater than 0.02 significance level, we fail to reject null hypothesis H0 and conclude that there is no strong evidence that the machine is underfilling the bags.

A manufacturer of potato chips would like to know whether its
bag filling machine works correctly at the 404 gram setting. It is
believed that the machine is underfilling the bags. A 43 bag sample
had a mean of 400 grams. Assume the population standard deviation
is known to be 18. 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 manufacturer of potato chips would like to know whether its
bag filling machine works correctly at the 402 gram setting. It is
believed that the machine is underfilling or overfilling the bags.
A 13 bag sample had a mean of 409 grams with a standard deviation
of 13 Assume the population is normally distributed. A level of
significance of 0.1 will be used. Specify the type of hypothesis
test.

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 potato chips would like to know whether its
bag filling machine works correctly at the 414 gram setting. It is
believed that the machine is underfilling the bags. A 11 bag sample
had a mean of 421 grams with a standard deviation of 28. assume the
population is normally distributed. a level of signifigance of 0.02
will be used. specify the type of hypothesis test.
left tailed
right tailed
two tailed

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 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 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 potato chips would like to know whether its
bag filling machine works correctly at the 434 gram setting. It is
believed that the machine is underfilling the bags. A 41 bag sample
had a mean of 433 grams. Assume the population standard deviation
is known to be 23. Is there sufficient evidence at the 0.05 level
that the bags are underfilled?

A manufacturer of banana chips would like to know whether its
bag filling machine works correctly at the 431 431 gram setting. It
is believed that the machine is underfilling the bags. A 23 23 bag
sample had a mean of 423 423 grams with a standard deviation of 14
14 . Assume the population is normally distributed. A level of
significance of 0.05 0.05 will be used. Find the P-value of the
test statistic. You may write the P-value...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 36 minutes ago

asked 37 minutes ago

asked 46 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 2 hours ago