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Ronch [10]
3 years ago
11

A researcher is testing a hypothesis of a single mean. The critical z value for a = .05 and a two‑tailed test is +1.96. The obse

rved z value from sample data is ‑2.05. The decision made by the researcher based on this information is to _____ the null hypothesis.
Mathematics
1 answer:
grandymaker [24]3 years ago
4 0

Answer:

The decision made by the researcher based on this information is to reject the null hypothesis.

Step-by-step explanation:

Two-tailed hypothesis test:

Critical value: z_c

Test statistic: z

If |z| < |z_c|, we do not reject the null hypothesis.

If |z| > |z_c|, we reject the null hypothesis.

In this question:

z_c = 1.96, z = -2.05, |z| = 2.05

Since |z| > |z_c|, we reject the null hypothesis.

The decision made by the researcher based on this information is to reject the null hypothesis.

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Answer:

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Step-by-step explanation:

7 0
3 years ago
A student’s first step to solving the equation 5(x – 2) = 10 was to simplify it to 5x – 2 = 10. Did the student make a mistake?
Dafna11 [192]
Yes, he forgot to distribute all the terms. 

3 0
3 years ago
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On average, a commercial airplane burns about 3.9 × 10³ mL of gasoline per second. There can be as many as 5.1 × 10³ airplanes i
motikmotik

3.9 x 5.1 = 19.89

10^3 x 10^3 = 10^6

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3 years ago
One angle of an isosceles triangle measures 26°. Which other angles could be in that isosceles triangle?
Julli [10]

Answer:

There are two answers, either of which would work

  • 26°, 26° and 128°
  • 26°, 77° and 77°

Method:

An isosceles triangle has 2 of the same sides so there are two possible answers:

1) 26° is one of the angles which is the same as another. 26° × 2 = 52° and since there are 180° in a triangle the other angle is 180° - 52° which is 128°. This would make the angles 26°, 26° and 128°

2) 26° is not one of the angles which is the same as another. Since there are 180° in a triangle, the other angles would both be 2 ÷ (180° - 26°) which is 77°. This would make the angless 26°, 77° and 77°

3 0
3 years ago
2. Write a recursive formula for the sequence 5, 18, 31, 44, 57, ... Then find the next term.
ludmilkaskok [199]

Answer: a6=70

Step-by-step explanation:

we know that

In the Arithmetic Sequence the formula is:

an= a1 + d(n−1)

where

a1 is the first term

d is the common difference

n is the number of terms

in this problem

a1=5

a2=18

a3=31

a4=44

a5=57

so

d=a2-a1 or a3-a2 or a4-a3 or a5-a4

d=57-44----> 13

find a6

a6= a1 + d(n−1)

n=6

d=13

a1=5

a6=5+13*(6-1)----> a6=5+13*5----> a6=70

8 0
2 years ago
Read 2 more answers
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