Question

. You are contemplating switching manufacturers of Pixie Stix for your candy store if you can find a brand that yields a greater sugar high than your current brand, whose average sugar high rating is 8. You collect a random sample of 16 Pixie Stix from the new brand you’re considering that yields an average sugar high rating of 9 with a sample standard deviation of 1.5.

a) State the null and alternative hypotheses.

b) Is this a right-tailed, left-tailed, or two-tailed test?

c) Calculate the test-statistic.

d) Find the P-value.

e) Make a decision about the null hypothesis at the α = 0.05 significance level. Summarize the results in terms of the problem and alternative.

f) Based on your decision in Part (e), what type of error (I or II) have you possibly made? What is its interpretation within the context of this problem?

Answer #1

A five-year-old census recorded that 20% of the families in a
large community lived below the poverty level. To determine if this
percentage has changed, a random sample of 400 families is studied
and 66 are found to be living below poverty level.
a) In words, what is the parameter of interest,
??
b) State the null and alternative hypotheses.
c) Is this a right-tailed, left-tailed, or two-tailed
test?
d) Find ?̂, the estimate for the parameter.
e) Calculate the...

You get a large shipment of components from each of 2 different
manufacturers. A sample of 250 items from the first manufacturer’s
shipment yields 5 defectives, and a sample of 300 items from the
second manufacturer’s shipment yields 8 defectives. The two
manufacturers claim that their proportion defectives are
essentially the same. Test this claim at a 4% significance level.
(State the null and alternative hypotheses. Be sure to clearly
state the “rejection region” for the test, and state your...

You get a large shipment of components from each of 2 different
manufacturers. A sample of 250 items from the first manufacturer’s
shipment yields 5 defectives, and a sample of 300 items from the
second manufacturer’s shipment yields 8 defectives. The two
manufacturers claim that their proportion defectives are
essentially the same. Test this claim at a 4% significance level.
(State the null and alternative hypotheses. Be sure to clearly
state the “rejection region” for the test, and state your...

1. Do you want to own your own candy store? With some interest
in running your own business and a decent credit rating, you can
probably get a bank loan on startup costs for franchises such as
Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain
Chocolate Factory. Startup costs (in thousands of dollars) from a
random sample of candy stores in the Chicago area are given
below:
95 173 129 95 75 94 116 100 85
a) Find...

Do you want to own your own candy store? Wow! With some interest
in running your own business and a decent credit rating, you can
probably get a bank loan on startup costs for franchises such as
Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain
Chocolate Factory. Startup costs (in thousands of dollars) for a
random sample of candy stores are given below. Assume that the
population of x values has an approximately normal
distribution.
Do you want...

Do you want to own your own candy store? Wow! With some interest
in running your own business and a decent credit rating, you can
probably get a bank loan on startup costs for franchises such as
Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain
Chocolate Factory. Startup costs (in thousands of dollars) for a
random sample of candy stores are given below. Assume that the
population of xvalues has an approximately normal
distribution.
91
177
134
91...

Do you want to own your own candy store? Wow! With some interest
in running your own business and a decent credit rating, you can
probably get a bank loan on startup costs for franchises such as
Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain
Chocolate Factory. Startup costs (in thousands of dollars) for a
random sample of candy stores are given below. Assume that the
population of x values has an approximately normal
distribution.
97
172
127...

Do you want to own your own candy store? Wow! With some interest
in running your own business and a decent credit rating, you can
probably get a bank loan on startup costs for franchises such as
Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain
Chocolate Factory. Startup costs (in thousands of dollars) for a
random sample of candy stores are given below. Assume that the
population of x values has an approximately normal
distribution.
92
176
134...

Do you want to own your own candy store? Wow! With some interest
in running your own business and a decent credit rating, you can
probably get a bank loan on startup costs for franchises such as
Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain
Chocolate Factory. Startup costs (in thousands of dollars) for a
random sample of candy stores are given below. Assume that the
population of x values has an approximately normal
distribution.
90
170
126...

Do you want to own your own candy store? Wow! With some interest
in running your own business and a decent credit rating, you can
probably get a bank loan on startup costs for franchises such as
Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain
Chocolate Factory. Startup costs (in thousands of dollars) for a
random sample of candy stores are given below. Assume that the
population of x values has an approximately normal
distribution.
96
180
128...

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