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Bess [88]
3 years ago
14

Compute the range of the following data set: 89, 65, 34, 91

Mathematics
1 answer:
malfutka [58]3 years ago
8 0

Answer:

57

Step-by-step explanation:

range = biggest - smallest

91 - 34 = 57

range = 57

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A company employs two shifts of workers. Each shift produces a type of gasket where the thickness is the critical dimension. The
Oksanka [162]

Answer:

a) [-0.134,0.034]

b) We are uncertain

c) It will change significantly

Step-by-step explanation:

a) Since the variances are unknown, we use the t-test with 95% confidence interval, that is the significance level = 1-0.05 = 0.025.

Since we assume that the variances are equal, we use the pooled variance given as

s_p^2 = \frac{ (n_1 -1)s_1^2 + (n_2-1)s_2^2}{n_1+n_2-2},

where n_1 = 40, n_2 = 30, s_1 = 0.16, s_2 = 0.19.

The mean difference \mu_1 - \mu_2 = 10.85 - 10.90 = -0.05.

The confidence interval is

(\mu_1 - \mu_2) \pm t_{n_1+n_2-2,\alpha/2} \sqrt{\frac{s_p^2}{n_1} + \frac{s_p^2}{n_2}} = (-0.05) \pm t_{68,0.025} \sqrt{\frac{0.03}{40} + \frac{0.03}{30}}

= -0.05\pm 1.995 \times 0.042 = -0.05 \pm 0.084 = [-0.134,0.034]

b) With 95% confidence, we can say that it is possible that the gaskets from shift 2 are, on average, wider than the gaskets from shift 1, because the mean difference extends to the negative interval or that the gaskets from shift 1 are wider, because the confidence interval extends to the positive interval.

c) Increasing the sample sizes results in a smaller margin of error, which gives us a narrower confidence interval, thus giving us a good idea of what the true mean difference is.

6 0
3 years ago
If sin42 degrees = 2/3 then cos48 degrees = what? <br> If tan20.5= 3/8, the tan69.5= what?
Anna11 [10]

Big ifs, question writers. These are of course approximations.

The "co" in cosine comes from complementary angles. It means since

42^\circ + 48 ^\circ = 90^\circ

\sin 42^\circ = \cos 48^\circ

Answer: cos 48° = 2/3

Similarly,

20.5^\circ +69.5^\circ = 90^\circ

\tan 69.5^\circ = \cot 20.5^\circ = \dfrac{1}{\tan 20.5^\circ} = \dfrac 8 3

Answer: tan 69.5° = 8/3

5 0
3 years ago
What additional information can be used to prove ΔVUW ≅ ΔYXZ by SAS? A) WU ≅ ZX B) WU ≅ ZY C) XZ ≅ VU D) XY ≅ VU
Roman55 [17]

Answer:


Step-by-step explanation:

A

and

D

3 0
3 years ago
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Mr lin has 10 baesball his gym make 4 teams
spin [16.1K]

Answer:

Mr. Lin can only have 2 people in his 4 teams but he will have 2 people without a group

Step-by-step explanation:

It would be better if he had 5 teams because everyone will be able to be in a team

4 0
2 years ago
Two boys are throwing a baseball back and forth. The ball is 4 ft above the ground when it leaves one child’s hand with an upwar
Annette [7]
Hello

the asnwer is 12 feet

have a nice day
4 0
3 years ago
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