Question

Suppose the mean height of women age 20 years or older in a certain country is

62.6

inches. One hundred randomly selected women in a certain city had a mean height of

61.5

inches. At the

11​%

significance​ level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national​ mean? Assume that the population standard deviation of the heights of women in the city is

3.63.6

inches.

Set up the hypotheses for the​ one-mean z-test.

Upper H 0H0​:

muμ

▼

equals=

greater than>

less than<

not equals≠

nothing

Upper H Subscript aHa​:

muμ

▼

not equals≠

less than<

equals=

greater than>

nothingThe test statistic is

zequals=nothing.

​(Round to two decimal places as​ needed.)

Identify the critical​ value(s). Select the correct choice below and fill in the answer box within your choice.

​(Round to

twotwo

decimal places as​ needed.)

A.The critical

values arevalues are

plus or minus z Subscript alpha divided by 2 Baseline equals plus or minus±zα/2=±nothing.

B.The critical

value isvalue is

negative z Subscript alpha Baseline equals−zα=nothing.

C.The critical

value isvalue is

z Subscript alpha Baseline equalszα=nothing.

▼

Reject

Do not reject

the null hypothesis. The data

▼

provide

do not provide

sufficient evidence to conclude that the average height of women in the city is

▼

different from

less than

the same as

greater than

the average height of women in the country.

Answer 1