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Varvara68 [4.7K]
3 years ago
11

Suppose that a random sample of size 64 is to be selected from a population with mean 50 and standard deviation 5. (a) What are

the mean and standard deviation of the sampling distribution of x
Mathematics
1 answer:
grin007 [14]3 years ago
6 0

Answer:

Mean of sampling distribution = 50

Standard deviation of sampling distribution, = 0.625

Step-by-step explanation:

Given :

Mean, μ = 50

Standard deviation, σ = 5

Sample size, n = 64

The mean of sampling distribution, μxbar = population mean, μ

μxbar = μ

According to the central limit theorem, the sampling distribution converges to the population mean as the sample size increases, hence, , μxbar = μ = 50

Standard deviation of sampling distribution, σxbar = σ/√n

σxbar = 5/√64 = 5 / 8 = 0.625

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Oliver makes blueberry jam every year .The number of pints of jam he makes this year can be represented by the expression 4p-9,w
tia_tia [17]

Answer:

23 pints.

Step-by-step explanation:

We have been given an expression 4p-9, where p is the number of pints of jam Oliver made last year. Our given expression represents the number of pints of jam Oliver makes this year.

We are also told that Oliver made 8 pints of jam last year. To find the number of pints of jam made by Oliver this year, we will substitute p=8 in our given expression.

\text{Pints of jam made by Oliver this year}=4\times 8-9

\text{Pints of jam made by Oliver this year}=32-9

\text{Pints of jam made by Oliver this year}=23

Therefore, Oliver makes 23 pints of jam this year.

5 0
3 years ago
The retail price of a new iPhone is $850. Jailyn purchased the phone for $896.75. What was the tax rate as a percentage?
vlada-n [284]
The tax rate is 5.5%
Explanation
$(896.75-850) = 46.75
(46.75/850) x 100 = 5.5%
Hope that helps :)
3 0
3 years ago
An 18 foot tall tree casts a shadow of 11 feet. A man casts a shadow of 4 feet assuming these are similar triangles, how tall is
ladessa [460]

Answer:

height of the man is ≈ 6.5

Step-by-step explanation:

shadow of the man/ shadow of the tree = height of the man/ height of the tree

4/11 = x/18                   cross multiply

11x = 4(18)

11x = 72

  x = 6.5

5 0
3 years ago
Evaluate fraction numerator d over denominator d x end fraction open parentheses integral subscript 3 superscript x s e c (t )sp
velikii [3]

Answer:

  sec(x)tan(x)

Step-by-step explanation:

This is a direct application of the <em>fundamental theorem of calculus</em>, which tells you ...

  \displaystyle\frac{d}{dx}\int^x_a {f(t)} \, dt=f(x)

Here, f(t) = sec(t)tan(t) and a=3. So, the derivative is ...

  f(x) = sec(x)tan(x)

5 0
3 years ago
A deal is a deal, so here is a good one, let's see who gets it right. I had $10.00. My mom gives me $30.00, My dad gave me $30.0
Yanka [14]

Answer:

$180 in total!

Step-by-step explanation:

10 + 30 + 30 + 100 + 10 = 180

the uncle and aunt gave their money together, it didn't specify that they each gave 100

6 0
3 years ago
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