Normal Distribution Practice

p-value is smaller than 0.05?

• Normal Distribution is assumed

• Normal Distribution is not assumed

Tags

CCSS.HSS.IC.B.4

What shape is a normal distribution cure?

• Half Curve

• Bell Curve

• Square curve

• Round curve

The z-score represents...

• the amount of standard deviations a data value is above or below the mean.

• the percentile the data value is above or below the mean.

• the amount of standard deviations a data value is above or below the median.

• the percent the data value is above or below the mean.

Find the z-score that has 12.71% of the distribution’s area to its right.

• 1.12

• 1.14

• 1.15

• 1.13

Tags

CCSS.HSS.ID.A.4

P(z < 0.05)

• 0.6846

• 0.6134

• 0.5199

• 0.599

Tags

CCSS.HSS.ID.A.4

A machine produces electrical components.

99.7% of the components have lengths between 1.176 cm and 1.224 cm.

Assuming this data is normally distributed, what are the mean and standard deviation?

• Mean = 1.200 cm

  S.D. = 0.008 cm

• Mean = 1.190 cm

  S.D. = 0.008 cm

• Mean = 1.200 cm

  S.D. = 0.004 cm

95% of students at school weigh between 62 kg and 90 kg.

Assuming this data is normally distributed, what are the mean and standard deviation?

• Mean = 66 kg

  S.D. = 7 kg

• Mean = 76 kg

  S.D. = 7 kg

According to the empirical rule, what percentage of data falls within 1 standard deviation? 

• 25%

• 97%

• 68%

Tags

CCSS.HSS.ID.A.4

Which of the following is a disadvantage of the Empirical Rule?

• There is no result for 3 standard deviations.

• The data has to be approximately normal.

• There is no result for 1 standard deviation.

Tags

CCSS.HSS.ID.A.4

μ = 70 , σ = 8 , X = 50 . Find z score

• -1.5

• 2.5

• -2.5

• 1.5

Tags

CCSS.HSS.ID.A.4