Please answer all of the following

Suppose the mean height of women age 20 years or older in a certain country is 62.4 inches. One hundred randomly selected women in a certain city had a mean height of 61.8 inches. At the 10% significancelevel, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the nationalmean? Assume that the population standard deviation of the heights of women in the city is 4.5 inches.

Set up the hypotheses for theone-mean z-test.

Set up the hypotheses for theone-mean z-test.

H0:

not equals

equals

=

less than

<

greater than

>

Ha:

less than

<

not equals

greater than

>

equals

=

The test statistic is z=

.

(Round to two decimal places asneeded.)

TheP-value is

.

(Round to four decimal places asneeded.)

the null hypothesis. The data

do not provide

provide

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

less than

different from

the same as

greater than

the average height of women in the country.