Question

The manufacturer of a popular preservative for hot dogs states that his new product will preserve the dogs for an average of 35 days (in refrigeration) with a standard deviation of 4.5 days. You want to test out his statement, so you select a random sample of 50 hot dogs that have been treated with his preservative and determine how long the dogs stay "edible" in refrigeration. Your sample mean is 32 days. Does the evidence support the manufacturer's 35-day freshness guarantee?

1. Write the alternative hypothesis in this study.

2. Find the standard error of the distribution of sample means. (2 decimals)

3. Find the z-value for the sample mean of x̄=32 days. ( 2 decimals)

4. What is the correct conclusion about the null hypothesis based on the results?

5. Briefly summarize the outcome of the hypothesis test and the conclusion that can be drawn from this study.

Answer #1

A manufacturer of car batteries claims that his product will
last at least 4 years on average. A sample of 50 is taken and the
mean and standard deviation are found. The test statistic is
calculated to be -1.82. Using a 5% significance level, the
conclusion would be:
There is sufficient evidence for the manufacturer's claim to be
considered correct.
There is insufficient evidence for the manufacturer's claim to
be considered correct.
There is sufficient evidence for the manufacturer's claim...

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The following table shows the hot dogs bought from a street
vendor over the course of eight days ("Demand"). Also shown is the
temperature for each day in degrees Celsius.
Temperature (°C)
22
9
22
18
6
10
19
21
Demand
49
30
36
40
18
22
42
32
A linear regression on the data gives the equation below.
Complete parts a through d below.
Predicted Demand
a. Calculate the SST.
b. Partition the total sum of squares into the...

A manufacturer claims that the calling range (in feet) of its
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of 11 similar phones from its competitor had a mean range of 1130
feet with a standard deviation of 23 feet. Do the results support
the manufacturer's claim? Let μ1 be the true mean...

A manufacturer produces both a deluxe and a standard model of an
automatic sander designed for home use. Selling prices obtained
from a sample of retail outlets follow. Model Price ($) Model Price
($) Retail Outlet Deluxe Standard Retail Outlet Deluxe Standard 1
40 27 5 40 30 2 39 28 6 39 32 3 43 35 7 36 29 4 38 31 The
manufacturer's suggested retail prices for the two models show a
$10 price differential. Use a .05...

A manufacturer produces both a deluxe and a standard model of an
automatic sander designed for home use. Selling prices obtained
from a sample of retail outlets follow.
Model Price
($)
Model Price
($)
Retail Outlet
Deluxe
Standard
Retail Outlet
Deluxe
Standard
1
40
27
5
40
30
2
39
28
6
39
32
3
43
35
7
36
29
4
38
31
The manufacturer's suggested
retail prices for the two models show a $10 price differential. Use
a .05...

A small manufacturer of LCD television displays is seriously
concerned about the quality of his product. Recent reports from
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fallen far short of the advertised figure given to the retailers. A
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truth of these charges.The average life expectancy figure given to
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A manufacturer produces both a deluxe and a standard model of an
automatic sander designed for home use. Selling prices obtained
from a sample of retail outlets follow.
Model Price
($)
Model Price
($)
Retail Outlet
Deluxe
Standard
Retail Outlet
Deluxe
Standard
1
40
27
5
40
30
2
39
28
6
39
32
3
43
35
7
36
29
4
38
31
The manufacturer's suggested
retail prices for the two models show a $10 price differential. Use
a .05...

2. Food deserts have become a particularly hot topic in the
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in order to address the growing concern for food deserts. Assume
the following table reports the summary statistics for shelf space
dedicated to fresh fruits and vegetables (meters) obtained from a...

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