The lifetime of certain type of light bulb is normally distributed with a mean of 1000 hours and a standard deviation of 110 hours. A hardware store manager claims that the new light bulb model has a longer average lifetime. A sample of 10 from the new light bulb model is obtained for a test. Consider a rejection region Find the probability of a type I error (round off to third decimal place).

The probability of a type I error is 0.500.

Step-by-step explanation:

A null hypothesis is a hypothesis of no difference. It is symbolized by H₀.

A Type-I-error is the rejection of an H₀ when indeed the H₀ is true. It is symbolized by α.

The hypothesis to test whether the store manager's claim, that the new light bulb model has a longer average lifetime, or not can be defined as:

H₀: The average lifetime of the new light bulb model is 1000 hours, i.e. μ = 1000.

Hₐ: The average lifetime of the new light bulb model is more than 1000 hours, i.e. μ > 1000.

Now, the type I error will be committed if we conclude that the mean lifetime of new bulbs is more than 1000 hours when in fact it is not.

The rejection region is defined as:

Given:

σ = 110 hours

n = 10

Compute the value of as follows:

*Use a z-table for the probability.

The probability that the mean lifetime of new bulbs is more than 1000 hours  is 0.50.

Hence, the probability of a type I error is 0.500.

henry ordered 5 large pizzas

step-by-step explanation:

sorry no step by step

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.