Question

Historically a soft drink bottle contains 2 liters. A recent article complains that bottles actually contain less than 2 liters. To verify this claim a sample of 49 bottles is taken. The sample average is 1.976 liters with the sample standard deviation of 0.12 liters. Based on this sample, is there enough evidence to prove the claim that bottles actually contain less than 2 liters at 5% significance level?

(a) Yes

(b) No

(c) We don’t have enough information to decide

Answer #1

H0: = 2

Ha: < 2

Test statistics

t = ( - ) / (S / sqrt(n) )

= ( 1.976 - 2) / (0.12 / sqrt(49) )

= -1.4

df = n - 1 = 49 - 1 = 48

From T table,

t critical value at 0.05 significance level with 48 df = -1.677

Since test statistics > -1.677 , Do not reject H0.

We conclude that, we fail to support the claim that bottles actually contain less than 2 liters.

**No**

A soft drink company has recently received customer complaints
about its one-liter-sized soft drink products. Customers have been
claiming that the one-liter-sized products contain less than one
liter of soft drink. The company has decided to investigate the
problem. According to the company records, when there is no
malfunctioning in the beverage dispensing unit, the bottles contain
1.02 liters of beverage on average, with a standard deviation of
0.16 liters. A sample of 60 bottles has been taken to be...

A soft drink bottler purchases glass bottles from a vendor. The
bottles are required to have an internal pressure of at least 96.5
pounds per square inch (psi). A prospective bottle vendor claims
that its production process yields bottles with a mean internal
pressure of 97.1 psi and a standard deviation of 5 psi. The bottler
strikes an agreement with the vendor that permits the bottler to
sample from the production process to verify the claim. The bottler
randomly selects...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 18 minutes ago

asked 19 minutes ago

asked 24 minutes ago

asked 24 minutes ago

asked 27 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago