We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.

To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.

First of all, we will find z-score corresponding to probability $0.975(1-0.025)$ using normal distribution table.

From normal distribution table, we get z-score corresponding is $1.96$ .

Now, we will use z-score formula to find sample score as:

$z=\frac{x-\mu}{\sigma}$ , where,

$z$ = Z-score,

$z$ = Sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation

$1.96=\frac{x-50,000}{2,500}$

$1.96*2,500=\frac{x-50,000}{2,500}*2,500$

$4900=x-50,000$

$4900+50,000=x-50,000+50,000$

$54900=x$

Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.

4 0

3 years ago

Mrs. Carroll’s garden has a total of 448 flowers arranged with 28 flowers in each row. How many rows are there in Mrs. Carroll’s

pantera1 [17]

Answer:

16 rows

Step-by-step explanation:

448 rows

28 flowers in each

448/28=16

7 0

3 years ago

Read 2 more answers

A mile is 5,280 feet. Between which to integers is the elevation in miles?

Tatiana [17]

5300 and 6000 is the elevation in miles

7 0

3 years ago